Supermassive black hole


This article is about the type of black hole. For the Muse song, see Supermassive Black Hole (song).




Artist concept of a SMBH consuming matter from a nearby star


A supermassive black hole (SMBH or sometimes SBH) is the largest type of black hole, containing a mass of the order of hundreds of thousands, to billions times, the mass of the Sun (M☉). This is a class of astronomical objects that has undergone gravitational collapse, leaving behind a spheroidal region of space from which nothing can escape; not even light. Observational evidence indicates that all, or nearly all, massive galaxies contain a supermassive black hole, located at the galaxy's center.[1][2]In the case of the Milky Way, the supermassive black hole corresponds to the location of Sagittarius A* at the Galactic Core.[3][4]Accretion of interstellar gas onto supermassive black holes is the process responsible for powering quasars and other types of active galactic nuclei.




Contents





  • 1 Description


  • 2 History of research


  • 3 Formation


  • 4 Doppler measurements


  • 5 In the Milky Way


  • 6 Outside the Milky Way


  • 7 Hawking evaporation


  • 8 See also


  • 9 References


  • 10 Further reading


  • 11 External links




Description


Supermassive black holes have properties that distinguish them from lower-mass classifications. First, the average density of a SMBH (defined as the mass of the black hole divided by the volume within its Schwarzschild radius) can be less than the density of water in the case of some SMBHs.[5] This is because the Schwarzschild radius is directly proportional to its mass. Since the volume of a spherical object (such as the event horizon of a non-rotating black hole) is directly proportional to the cube of the radius, the density of a black hole is inversely proportional to the square of the mass, and thus higher mass black holes have lower average density.[6] In addition, the tidal forces in the vicinity of the event horizon are significantly weaker for supermassive black holes. The tidal force on a body at the event horizon is likewise inversely proportional to the square of the mass:[7] a person on the surface of the Earth and one at the event horizon of a 10 million M☉ black hole experience about the same tidal force between their head and feet. Unlike with stellar mass black holes, one would not experience significant tidal force until very deep into the black hole.[8]



History of research


The story of how supermassive black holes were found began with the investigation by Maarten Schmidt of the radio source 3C 273 in 1963. Initially this was thought to be a star, but the spectrum proved puzzling. It was determined to be hydrogen emission lines that had been red shifted, indicating the object was moving away from the Earth.[9]Hubble's law showed that the object was located several billion light-years away, and thus must be emitting the energy equivalent of hundreds of galaxies. The rate of light variations of the source, dubbed a quasi-stellar object, or quasar, suggested the emitting region had a diameter of one parsec or less. Four such sources had been identified by 1964.[10]


In 1963, Fred Hoyle and W. A. Fowler proposed the existence of hydrogen burning supermassive stars (SMS) as an explanation for the compact dimensions and high energy output of quasars. These would have a mass of about 105 – 109M☉. However, Richard Feynman noted stars above a certain critical mass are dynamically unstable and would collapse into a black hole, at least if they were non-rotating.[11] Fowler then proposed that these supermassive stars would undergo a series of collapse and explosion oscillations, thereby explaining the energy output pattern. Appenzeller and Fricke (1972) built models of this behavior, but found that the resulting star would still undergo collapse, concluding that a non-rotating 7036149141250000000♠0.75×106 M☉ SMS "cannot escape collapse to a black hole by burning its hydrogen through the CNO cycle".[12]


Edwin E. Salpeter and Yakov B. Zel'dovich made the proposal in 1964 that matter falling onto a massive compact object would explain the properties of quasars. It would require a mass of around 108 M☉ to match the output of these objects. Donald Lynden-Bell noted in 1969 that the infalling gas would form a flat disk that spirals into the central "Schwarzschild throat". He noted that the relatively low output of nearby galactic cores implied these were old, inactive quasars.[13] Meanwhile, in 1967, Martin Ryle and Malcolm Longair suggested that nearly all sources of extra-galactic radio emission could be explained by a model in which particles are ejected from galaxies at relativistic velocities; meaning they are moving near the speed of light.[14] Martin Ryle, Malcolm Longair, and Peter Scheuer then proposed in 1973 that the compact central nucleus could be the original energy source for these relativistic jets.[13]


Arthur M. Wolfe and Geoffrey Burbidge noted in 1970 that the large velocity dispersion of the stars in the nuclear region of elliptical galaxies could only be explained by a large mass concentration at the nucleus; larger than could be explained by ordinary stars. They showed that the behavior could be explained by a massive black hole with up to 1010 M☉, or a large number of smaller black holes with masses below 103 M☉.[15] Dynamical evidence for a massive dark object was found at the core of the active elliptical galaxy Messier 87 in 1978, initially estimated at 7039994275000000000♠5×109 M☉.[16] Discovery of similar behavior in other galaxies soon followed, including the Andromeda Galaxy in 1984 and the Sombrero Galaxy in 1988.[1]


Donald Lynden-Bell and Martin Rees hypothesized in 1971 that the center of the Milky Way galaxy would contain a massive black hole.[17] Sagittarius A* was discovered and named on February 13 and 15, 1974, by astronomers Bruce Balick and Robert Brown using the Green Bank Interferometer of the National Radio Astronomy Observatory.[18] They discovered a radio source that emits synchrotron radiation; it was found to be dense and immobile because of its gravitation. This was, therefore, the first indication that a supermassive black hole exists in the center of the Milky Way.


The Hubble Space Telescope, launched in 1990, provided the resolution needed to perform more refined observations of galactic nuclei. In 1994 the Faint Object Spectrograph on the Hubble was used to observe Messier 87, finding that ionized gas was orbiting the central part of the nucleus at a velocity of ±500 km/s. The data indicated a concentrated mass of 7039477252000000000♠(2.4±0.7)×109 M☉ lay within a 6994121203420277384♠0.25″ span, providing strong evidence of a supermassive black hole.[19] Using the Very Long Baseline Array to observe Messier 106 , Miyoshi et al. (1995) were able to demonstrate that the emission from an H2O maser in this galaxy came from a gaseous disk in the nucleus that orbited a concentrated mass of 7037715878000000000♠3.6×107 M☉, which was constrained to a radius of 0.13 parsecs. They noted that a swarm of solar mass black holes within a radius this small would not survive for long without undergoing collisions, making a supermassive black hole the sole viable candidate.[20]



Formation




An artist's conception of a supermassive black hole and accretion disk


The origin of supermassive black holes remains an open field of research. Astrophysicists agree that once a black hole is in place in the center of a galaxy, it can grow by accretion of matter and by merging with other black holes. There are, however, several hypotheses for the formation mechanisms and initial masses of the progenitors, or "seeds", of supermassive black holes.


One hypothesis is that the seeds are black holes of tens or perhaps hundreds of solar masses that are left behind by the explosions of massive stars and grow by accretion of matter. Another model hypothesizes that before the first stars, large gas clouds could collapse into a "quasi-star", which would in turn collapse into a black hole of around 20 M☉. The "quasi-star" becomes unstable to radial perturbations because of electron-positron pair production in its core and could collapse directly into a black hole without a supernova explosion (which would eject most of its mass, preventing the black hole from growing as fast). Given sufficient mass nearby, the black hole could accrete to become intermediate-mass black hole and possibly a SMBH if the accretion rate persists.[21]


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Artist's impression of the huge outflow ejected from the quasar SDSS J1106+1939[22]




Artist's illustration of galaxy with jets from a supermassive black hole.[23]



Another model involves a dense stellar cluster undergoing core-collapse as the negative heat capacity of the system drives the velocity dispersion in the core to relativistic speeds.[24] Finally, primordial black holes could have been produced directly from external pressure in the first moments after the Big Bang. These primordial black holes would then have more time than any of the above models to accrete, allowing them sufficient time to reach supermassive sizes. Formation of black holes from the deaths of the first stars has been extensively studied and corroborated by observations. The other models for black hole formation listed above are theoretical.


The difficulty in forming a supermassive black hole resides in the need for enough matter to be in a small enough volume. This matter needs to have very little angular momentum in order for this to happen. Normally, the process of accretion involves transporting a large initial endowment of angular momentum outwards, and this appears to be the limiting factor in black hole growth. This is a major component of the theory of accretion disks. Gas accretion is the most efficient and also the most conspicuous way in which black holes grow. The majority of the mass growth of supermassive black holes is thought to occur through episodes of rapid gas accretion, which are observable as active galactic nuclei or quasars. Observations reveal that quasars were much more frequent when the Universe was younger, indicating that supermassive black holes formed and grew early. A major constraining factor for theories of supermassive black hole formation is the observation of distant luminous quasars, which indicate that supermassive black holes of billions of solar masses had already formed when the Universe was less than one billion years old. This suggests that supermassive black holes arose very early in the Universe, inside the first massive galaxies.




Artist’s impression of stars born in winds from supermassive black holes.[25]


A vacancy exists in the observed mass distribution of black holes. Black holes that spawn from dying stars have masses 5–80 M☉. The minimal supermassive black hole is approximately a hundred thousand solar masses. Mass scales between these ranges are dubbed intermediate-mass black holes. Such a gap suggests a different formation process. However, some models[26] suggest that ultraluminous X-ray sources (ULXs) may be black holes from this missing group.


There is, however, an upper limit to how large supermassive black holes can grow. So-called ultramassive black holes (UMBHs), which are at least ten times the size of supermassive black holes, appear to have a theoretical upper limit of around 50 billion solar masses, as anything above this slows growth down to a crawl (the slowdown tends to start around 10 billion solar masses) and causes the unstable accretion disk surrounding the black hole to coalesce into stars that orbit it.[27][28][29][30]


A small minority of sources argue that distant supermassive black holes whose large size is hard to explain so soon after the Big Bang, such as ULAS J1342+0928,[31] may be evidence that our universe is the result of a Big Bounce, instead of a Big Bang, with these supermassive black holes being formed before the Big Bounce.[32][33]



Doppler measurements




Side view of black hole with transparent toroidal ring of ionised matter according to a proposed model [34] for Sgr A*. This image shows the result of bending of light from behind the black hole, and it also shows the asymmetry arising by the Doppler effect from the extremely high orbital speed of the matter in the ring.


Some of the best evidence for the presence of black holes is provided by the Doppler effect whereby light from nearby orbiting matter is red-shifted when receding and blue-shifted when advancing. For matter very close to a black hole the orbital speed must be comparable with the speed of light, so receding matter will appear very faint compared with advancing matter, which means that systems with intrinsically symmetric discs and rings will acquire a highly asymmetric visual appearance. This effect has been allowed for in modern computer generated images such as the example presented here, based on a plausible model[34] for the supermassive black hole in Sgr A* at the centre of our own galaxy. However the resolution provided by presently available telescope technology is still insufficient to confirm such predictions directly.


What already has been observed directly in many systems are the lower non-relativistic velocities of matter orbiting further out from what are presumed to be black holes. Direct Doppler measures of water masers surrounding the nuclei of nearby galaxies have revealed a very fast Keplerian motion, only possible with a high concentration of matter in the center. Currently, the only known objects that can pack enough matter in such a small space are black holes, or things that will evolve into black holes within astrophysically short timescales. For active galaxies farther away, the width of broad spectral lines can be used to probe the gas orbiting near the event horizon. The technique of reverberation mapping uses variability of these lines to measure the mass and perhaps the spin of the black hole that powers active galaxies.


Gravitation from supermassive black holes in the center of many galaxies is thought to power active objects such as Seyfert galaxies and quasars.


An empirical correlation between the size of supermassive black holes and the stellar velocity dispersion σdisplaystyle sigma sigma of a galaxy bulge[35] is called the M-sigma relation.



In the Milky Way




Inferred orbits of 6 stars around supermassive black hole candidate Sagittarius A* at the Milky Way galactic center[36]


Astronomers are very confident that the Milky Way galaxy has a supermassive black hole at its center, 26,000 light-years from the Solar System, in a region called Sagittarius A*[37] because:


  • The star S2 follows an elliptical orbit with a period of 15.2 years and a pericenter (closest distance) of 17 light-hours (7013180000000000000♠1.8×1013 m or 120 AU) from the center of the central object.[38]

  • From the motion of star S2, the object's mass can be estimated as 4.1 million M☉,[39][40] or about 7036820000000000000♠8.2×1036 kg.

  • The radius of the central object must be less than 17 light-hours, because otherwise S2 would collide with it. Observations of the star S14[41] indicate that the radius is no more than 6.25 light-hours, about the diameter of Uranus' orbit.

  • No known astronomical object other than a black hole can contain 4.1 million M☉ in this volume of space.

Infrared observations of bright flare activity near Sagittarius A* show orbital motion of plasma with a period of 7003270000000000000♠45±15 min at a separation of six to ten times the gravitational radius of the candidate SMBH. This emission is consistent with a circularized orbit of a polarized "hot spot" on an accretion disk in a strong magnetic field. The radiating matter is orbiting at 30% of the speed of light just outside the innermost stable circular orbit.[42]


On January 5, 2015, NASA reported observing an X-ray flare 400 times brighter than usual, a record-breaker, from Sagittarius A*. The unusual event may have been caused by the breaking apart of an asteroid falling into the black hole or by the entanglement of magnetic field lines within gas flowing into Sagittarius A*, according to astronomers.[43]






Detection of an unusually bright X-ray flare from Sagittarius A*, a supermassive black hole in the center of the Milky Way galaxy.[43]




Outside the Milky Way


See also: List of most massive black holes



Artist's impression of a supermassive black hole tearing apart a star. Below: supermassive black hole devouring a star in galaxy RX J1242-11 – X-ray (left) and optical (right).[44]


Unambiguous dynamical evidence for supermassive black holes exists only in a handful of galaxies;[45] these include the Milky Way, the Local Group galaxies M31 and M32, and a few galaxies beyond the Local Group, e.g. NGC 4395. In these galaxies, the mean square (or rms) velocities of the stars or gas rises proportionally to 1/r near the center, indicating a central point mass. In all other galaxies observed to date, the rms velocities are flat, or even falling, toward the center, making it impossible to state with certainty that a supermassive black hole is present.[45] Nevertheless, it is commonly accepted that the center of nearly every galaxy contains a supermassive black hole.[46] The reason for this assumption is the M-sigma relation, a tight (low scatter) relation between the mass of the hole in the 10 or so galaxies with secure detections, and the velocity dispersion of the stars in the bulges of those galaxies.[47] This correlation, although based on just a handful of galaxies, suggests to many astronomers a strong connection between the formation of the black hole and the galaxy itself.[46]





Hubble Space Telescope photograph of the 4,400 light-year long relativistic jet of Messier 87, which is matter being ejected by the 7009640000000000000♠6.4×109 M☉ supermassive black hole at the center of the galaxy


The nearby Andromeda Galaxy, 2.5 million light-years away, contains a (1.1–7008229999999999999♠2.3)×108 (110–230 million) M☉ central black hole, significantly larger than the Milky Way's.[48] The largest supermassive black hole in the Milky Way's vicinity appears to be that of M87, at a mass of 7009640000000000000♠(6.4±0.5)×109 (c. 6.4 billion) M☉ at a distance of 53.5 million light-years.[49][50] The supergiant elliptical galaxy NGC 4889, at a distance of 336 million light-years away in the Coma Berenices constellation, contains a black hole measured to be 7010210000000000000♠2.1×1010 (21 billion) M☉.[51]


Masses of black holes in quasars can be estimated via indirect methods that are subject to substantial uncertainty. The quasar TON 618 is an example of an object with an extremely large black hole, estimated at 7010660000000000000♠6.6×1010 (66 billion) M☉[52]. Its redshift is 2.219. Other examples of quasars with large estimated black hole masses are the hyperluminous quasar APM 08279+5255, with an estimated mass of 7010230000000000000♠2.3×1010 (23 billion) M☉, and the quasar S5 0014+81, with a mass of 7010400000000000000♠4.0×1010 (40 billion) M☉, or 10,000 times the mass of the black hole at the Milky Way Galactic Center.


Some galaxies, such as the galaxy 4C +37.11, appear to have two supermassive black holes at their centers, forming a binary system. If they collided, the event would create strong gravitational waves.[53] Binary supermassive black holes are believed to be a common consequence of galactic mergers.[54] The binary pair in OJ 287, 3.5 billion light-years away, contains the most massive black hole in a pair, with a mass estimated at 18 billion M☉.[55]
In 2011, a super-massive black hole was discovered in the dwarf galaxy Henize 2-10, which has no bulge. The precise implications for this discovery on black hole formation are unknown, but may indicate that black holes formed before bulges.[56]


On March 28, 2011, a supermassive black hole was seen tearing a mid-size star apart.[57] That is the only likely explanation of the observations that day of sudden X-ray radiation and the follow-up broad-band observations.[58][59] The source was previously an inactive galactic nucleus, and from study of the outburst the galactic nucleus is estimated to be a SMBH with mass of the order of a million solar masses. This rare event is assumed to be a relativistic outflow (material being emitted in a jet at a significant fraction of the speed of light) from a star tidally disrupted by the SMBH. A significant fraction of a solar mass of material is expected to have accreted onto the SMBH. Subsequent long-term observation will allow this assumption to be confirmed if the emission from the jet decays at the expected rate for mass accretion onto a SMBH.




File:A Black Hole’s Dinner is Fast Approaching - Part 2.ogvPlay media

A gas cloud with several times the mass of the Earth is accelerating towards a supermassive black hole at the centre of the Milky Way.


In 2012, astronomers reported an unusually large mass of approximately 17 billion M☉ for the black hole in the compact, lenticular galaxy NGC 1277, which lies 220 million light-years away in the constellation Perseus. The putative black hole has approximately 59 percent of the mass of the bulge of this lenticular galaxy (14 percent of the total stellar mass of the galaxy).[60] Another study reached a very different conclusion: this black hole is not particularly overmassive, estimated at between 2 and 5 billion M☉ with 5 billion M☉ being the most likely value.[61] On 28 February 2013 astronomers reported on the use of the NuSTAR satellite to accurately measure the spin of a supermassive black hole for the first time, in NGC 1365, reporting that the event horizon was spinning at almost the speed of light.[62][63]




Hubble view of a supermassive black hole "burping".[64]


In September 2014, data from different X-ray telescopes has shown that the extremely small, dense, ultracompact dwarf galaxy M60-UCD1 hosts a 20 million solar mass black hole at its center, accounting for more than 10% of the total mass of the galaxy. The discovery is quite surprising, since the black hole is five times more massive than the Milky Way's black hole despite the galaxy being less than five-thousandths the mass of the Milky Way.


Some galaxies, however, lack any supermassive black holes in their centers. Although most galaxies with no supermassive black holes are very small, dwarf galaxies, one discovery remains mysterious: The supergiant elliptical cD galaxy A2261-BCG has not been found to contain an active supermassive black hole, despite the galaxy being one of the largest galaxies known; ten times the size and one thousand times the mass of the Milky Way. Since a supermassive black hole will only be visible while it is accreting, a supermassive black hole can be nearly invisible, except in its effects on stellar orbits.


In December 2017, astronomers reported the detection of the most distant quasar currently known, ULAS J1342+0928, containing the most distant supermassive black hole, at a reported redshift of z = 7.54, surpassing the redshift of 7 for the previously known most distant quasar ULAS J1120+0641.[65][66][67]



Hawking evaporation


If black holes evaporate via Hawking radiation, a supermassive black hole with a mass of 1011 (100 billion) M☉ will evaporate in around 2×10100 years.[68]


Some monster black holes in the universe are predicted to continue to grow up to perhaps 1014M☉ during the collapse of superclusters of galaxies. Even these would evaporate over a timescale of up to 10106 years.[69]



See also




  • Active galactic nucleus

  • Black holes in fiction

  • Central massive object

  • Galactic center

  • General relativity

  • Hypercompact stellar system

  • List of most massive black holes

  • M-sigma relation

  • Spin-flip



References




  1. ^ ab Kormendy, John; Richstone, Douglas (1995), "Inward Bound--The Search For Supermassive Black Holes In Galactic Nuclei", Annual Review of Astronomy and Astrophysics, 33: 581, Bibcode:1995ARA&A..33..581K, doi:10.1146/annurev.aa.33.090195.003053.mw-parser-output cite.citationfont-style:inherit.mw-parser-output .citation qquotes:"""""""'""'".mw-parser-output .citation .cs1-lock-free abackground:url("//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/9px-Lock-green.svg.png")no-repeat;background-position:right .1em center.mw-parser-output .citation .cs1-lock-limited a,.mw-parser-output .citation .cs1-lock-registration abackground:url("//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/9px-Lock-gray-alt-2.svg.png")no-repeat;background-position:right .1em center.mw-parser-output .citation .cs1-lock-subscription abackground:url("//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Lock-red-alt-2.svg/9px-Lock-red-alt-2.svg.png")no-repeat;background-position:right .1em center.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registrationcolor:#555.mw-parser-output .cs1-subscription span,.mw-parser-output .cs1-registration spanborder-bottom:1px dotted;cursor:help.mw-parser-output .cs1-ws-icon abackground:url("//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/12px-Wikisource-logo.svg.png")no-repeat;background-position:right .1em center.mw-parser-output code.cs1-codecolor:inherit;background:inherit;border:inherit;padding:inherit.mw-parser-output .cs1-hidden-errordisplay:none;font-size:100%.mw-parser-output .cs1-visible-errorfont-size:100%.mw-parser-output .cs1-maintdisplay:none;color:#33aa33;margin-left:0.3em.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration,.mw-parser-output .cs1-formatfont-size:95%.mw-parser-output .cs1-kern-left,.mw-parser-output .cs1-kern-wl-leftpadding-left:0.2em.mw-parser-output .cs1-kern-right,.mw-parser-output .cs1-kern-wl-rightpadding-right:0.2em


  2. ^ Kormendy, John; Ho, Luis (2013). "Coevolution (Or Not) of Supermassive Black Holes and Host Galaxies". Annual Review of Astronomy and Astrophysics. 51 (1): 511–653. arXiv:1304.7762. Bibcode:2013ARA&A..51..511K. doi:10.1146/annurev-astro-082708-101811.


  3. ^ Ghez, A.; Klein, B.; Morris, M.; Becklin, E (1998). "High Proper-Motion Stars in the Vicinity of Sagittarius A*: Evidence for a Supermassive Black Hole at the Center of Our Galaxy". The Astrophysical Journal. 509 (2): 678. Bibcode:1998ApJ...509..678G. doi:10.1086/306528.


  4. ^
    Schödel, R.; et al. (2002). "A star in a 15.2-year orbit around the supermassive black hole at the centre of the Milky Way". Nature. 419 (6908): 694–696. arXiv:astro-ph/0210426. Bibcode:2002Natur.419..694S. doi:10.1038/nature01121. PMID 12384690.


  5. ^ Celotti, A.; Miller, J.C.; Sciama, D.W. (1999). "Astrophysical evidence for the existence of black holes". Class. Quantum Grav. (Submitted manuscript). 16 (12A): A3–A21. arXiv:astro-ph/9912186. doi:10.1088/0264-9381/16/12A/301.


  6. ^ Ehsan, Baaquie Belal; Hans, Willeboordse Frederick (2015), Exploring The Invisible Universe: From Black Holes To Superstrings, World Scientific, p. 200, Bibcode:2015eiub.book.....B, ISBN 978-9814618694


  7. ^ Kutner, Marc L. (2003), Astronomy: A Physical Perspective, Cambridge University Press, p. 149, ISBN 978-0521529273


  8. ^ "Problem 138: The Intense Gravity of a Black Hole", Space Math @ NASA: Mathematics Problems about Black Holes, NASA, retrieved 2018-12-04


  9. ^ Schmidt, Maarten (1965), "3C 273: A Star-like Object with Large Red-Shift", in Robinson, Ivor; Schild, Alfred; Schucking, E.L., Quasi-Stellar Sources and Gravitational Collapse, Proceedings of the 1st Texas Symposium on Relativistic Astrophysics, Chicago: University of Chicago Press, p. 455, Bibcode:1965qssg.conf..455S.


  10. ^ Greenstein, Jesse L.; Schmidt, Maarten (July 1964), "The Quasi-Stellar Radio Sources 3C 48 and 3C 273", Astrophysical Journal, 140: 1, Bibcode:1964ApJ...140....1G, doi:10.1086/147889.


  11. ^ Feynman, Richard (2018), Feynman Lectures On Gravitation, CRC Press, p. 12, ISBN 978-0429982484


  12. ^ Appenzeller, I.; Fricke, K. (April 1972), "Hydrodynamic Model Calculations for Supermassive Stars I. The Collapse of a Nonrotating 7036149141250000000♠0.75×106 M☉ Star", Astronomy and Astrophysics, 18: 10, Bibcode:1972A&A....18...10A


  13. ^ ab Lang, Kenneth R. (2013), Astrophysical Formulae: Space, Time, Matter and Cosmology, Astronomy and Astrophysics Library (3 ed.), Springer, p. 217, ISBN 978-3662216392


  14. ^ Ryle, Martin, Sir; Longair, M. S. (1967), "A possible method for investigating the evolution of radio galaxies", Monthly Notices of the Royal Astronomical Society, 136 (2): 123, Bibcode:1967MNRAS.136..123R, doi:10.1093/mnras/136.2.123


  15. ^ Wolfe, A. M.; Burbidge, G. R. (August 1970). "Black Holes in Elliptical Galaxies". Astrophysical Journal. 161: 419. Bibcode:1970ApJ...161..419W. doi:10.1086/150549.


  16. ^ Sargent, W. L. W.; et al. (May 1, 1978). "Dynamical evidence for a central mass concentration in the galaxy M87". Astrophysical Journal, Part 1. 221: 731–744. Bibcode:1978ApJ...221..731S. doi:10.1086/156077.


  17. ^ Schödel, R.; Genzel, R. (2006), Alfaro, Emilio Javier; Perez, Enrique; Franco, José, eds., How does the Galaxy work?: A Galactic Tertulia with Don Cox and Ron Reynolds, Astrophysics and Space Science Library, 315, Springer Science & Business Media, p. 201, ISBN 978-1402026201


  18. ^ Melia 2007, p. 2.


  19. ^ Harms, Richard J.; et al. (November 1994), "HST FOS spectroscopy of M87: Evidence for a disk of ionized gas around a massive black hole", Astrophysical Journal, Part 2, 435 (1): L35–L38, Bibcode:1994ApJ...435L..35H, doi:10.1086/187588


  20. ^ Miyoshi, Makoto; et al. (January 1995). "Evidence for a black hole from high rotation velocities in a sub-parsec region of NGC4258". Nature. 373 (6510): 127–129. Bibcode:1995Natur.373..127M. doi:10.1038/373127a0.


  21. ^ Begelman, M. C.; et al. (Jun 2006). "Formation of supermassive black holes by direct collapse in pre-galactic haloed". Monthly Notices of the Royal Astronomical Society. 370 (1): 289–298. arXiv:astro-ph/0602363. Bibcode:2006MNRAS.370..289B. doi:10.1111/j.1365-2966.2006.10467.x.


  22. ^ "Biggest Black Hole Blast Discovered". ESO Press Release. Retrieved 28 November 2012.


  23. ^ "Artist's illustration of galaxy with jets from a supermassive black hole". Hubble Space Telescope. Retrieved 2018-11-27.


  24. ^ Spitzer, L. (1987). Dynamical Evolution of Globular Clusters. Princeton University Press. ISBN 978-0-691-08309-4.


  25. ^ "Stars Born in Winds from Supermassive Black Holes – ESO's VLT spots brand-new type of star formation". www.eso.org. Retrieved 27 March 2017.


  26. ^ Winter, L.M.; et al. (Oct 2006). "XMM-Newton Archival Study of the ULX Population in Nearby Galaxies". Astrophysical Journal. 649 (2): 730–752. arXiv:astro-ph/0512480. Bibcode:2006ApJ...649..730W. doi:10.1086/506579.


  27. ^ King, Andrew (February 2016). "How big can a black hole grow?". Monthly Notices of the Royal Astronomical Society: Letters. 456 (1): L109–L112. arXiv:1511.08502. Bibcode:2016MNRAS.456L.109K. doi:10.1093/mnrasl/slv186.


  28. ^ Trosper, Jaime (May 5, 2014). "Is There a Limit to How Large Black Holes Can Become?". futurism.com. Retrieved 2018-11-27.


  29. ^ Clery, Daniel (December 21, 2015). "Limit to how big black holes can grow is astonishing". sciencemag.org. Retrieved 2018-11-27.


  30. ^ ap507. "Black holes could grow as large as 50 billion suns before their food crumbles into stars, research shows — University of Leicester". www2.le.ac.uk. Retrieved 2018-11-27.


  31. ^ Landau, Elizabeth; Bañados, Eduardo (6 December 2017). "Found: Most Distant Black Hole". NASA. Retrieved 6 December 2017. "This black hole grew far larger than we expected in only 690 million years after the Big Bang, which challenges our theories about how black holes form," said study co-author Daniel Stern of NASA's Jet Propulsion Laboratory in Pasadena, California.


  32. ^ Jamie Seidel (7 December 2017). "Black hole at the dawn of time challenges our understanding of how the universe was formed". News Corp Australia. Retrieved 9 December 2017. It had reached its size just 690 million years after the point beyond which there is nothing. The most dominant scientific theory of recent years describes that point as the Big Bang—a spontaneous eruption of reality as we know it out of a quantum singularity. But another idea has recently been gaining weight: that the universe goes through periodic expansions and contractions—resulting in a 'Big Bounce'. And the existence of early black holes has been predicted to be a key telltale as to whether or not the idea may be valid. This one is very big. To get to its size—800 million times more mass than our Sun—it must have swallowed a lot of stuff. ... As far as we understand it, the universe simply wasn't old enough at that time to generate such a monster.


  33. ^ Youmagazine staff (8 December 2017). "A Black Hole that is more ancient than the Universe" (in Greek). You Magazine (Greece). Retrieved 9 December 2017. This new theory that accepts that the Universe is going through periodic expansions and contractions is called "Big Bounce"


  34. ^ ab O. Straub, F.H. Vincent, M.A. Abramowicz, E. Gourgoulhon, T. Paumard, "Modelling the black hole silhouette in Sgr A* with ion tori", Astron. Astroph. 543} (2012) A83.


  35. ^ Gultekin K; et al. (2009). "The M−σdisplaystyle -sigma -sigma and M-L Relations in Galactic Bulges, and Determinations of Their Intrinsic Scatter". The Astrophysical Journal. 698 (1): 198–221. arXiv:0903.4897. Bibcode:2009ApJ...698..198G. doi:10.1088/0004-637X/698/1/198.


  36. ^ Eisenhauer; et al. (2005). "SINFONI in the Galactic Center: Young Stars and Infrared Flares in the Central Light-Month". The Astrophysical Journal. 628 (1): 246–259. arXiv:astro-ph/0502129. Bibcode:2005ApJ...628..246E. doi:10.1086/430667.


  37. ^ Henderson, Mark (December 9, 2008). "Astronomers confirm black hole at the heart of the Milky Way". London: Times Online. Retrieved 2009-05-17.


  38. ^ Schödel, R.; et al. (17 October 2002). "A star in a 15.2-year orbit around the supermassive black hole at the centre of the Milky Way". Nature. 419 (6908): 694–696. arXiv:astro-ph/0210426. Bibcode:2002Natur.419..694S. doi:10.1038/nature01121. PMID 12384690.


  39. ^ Ghez, A. M.; et al. (December 2008). "Measuring Distance and Properties of the Milky Way's Central Supermassive Black Hole with Stellar Orbits". Astrophysical Journal. 689 (2): 1044–1062. arXiv:0808.2870. Bibcode:2008ApJ...689.1044G. doi:10.1086/592738.


  40. ^ "Milky Way's Central Monster Measured - Sky & Telescope". skyandtelescope.com. August 28, 2008.


  41. ^ Ghez, A. M.; Salim, S.; Hornstein, S. D.; Tanner, A.; Lu, J. R.; Morris, M.; Becklin, E. E.; Duchêne, G. (May 2005). "Stellar Orbits around the Galactic Center Black Hole". The Astrophysical Journal. 620 (2): 744–757. arXiv:astro-ph/0306130. Bibcode:2005ApJ...620..744G. doi:10.1086/427175.


  42. ^ Gravity Collaboration; et al. (October 2018). "Detection of orbital motions near the last stable circular orbit of the massive black hole SgrA*". Astronomy & Astrophysics. 618: 15. arXiv:1810.12641. Bibcode:2018A&A...618L..10G. doi:10.1051/0004-6361/201834294. L10.


  43. ^ ab Chou, Felicia; Anderson, Janet; Watzke, Megan (5 January 2015). "Release 15-001 – NASA's Chandra Detects Record-Breaking Outburst from Milky Way's Black Hole". NASA. Retrieved 6 January 2015.


  44. ^ "Chandra :: Photo Album :: RX J1242-11 :: 18 Feb 04". chandra.harvard.edu.


  45. ^ ab Merritt, David (2013). Dynamics and Evolution of Galactic Nuclei. Princeton, NJ: Princeton University Press. p. 23. ISBN 9780691158600.


  46. ^ ab King, Andrew (2003-09-15). "Black Holes, Galaxy Formation, and the MBH-σ Relation". The Astrophysical Journal Letters. 596 (1): L27–L29. arXiv:astro-ph/0308342. Bibcode:2003ApJ...596L..27K. doi:10.1086/379143.


  47. ^ Ferrarese, Laura; Merritt, David (2000-08-10). "A Fundamental Relation between Supermassive Black Holes and Their Host Galaxies". The Astrophysical Journal. 539 (1): L9–12. arXiv:astro-ph/0006053. Bibcode:2000ApJ...539L...9F. doi:10.1086/312838.


  48. ^
    Bender, Ralf; et al. (2005-09-20). "HST STIS Spectroscopy of the Triple Nucleus of M31: Two Nested Disks in Keplerian Rotation around a Supermassive Black Hole". The Astrophysical Journal. 631 (1): 280–300. arXiv:astro-ph/0509839. Bibcode:2005ApJ...631..280B. doi:10.1086/432434.


  49. ^ Gebhardt, Karl; Thomas, Jens (August 2009). "The Black Hole Mass, Stellar Mass-to-Light Ratio, and Dark Halo in M87". The Astrophysical Journal. 700 (2): 1690–1701. arXiv:0906.1492. Bibcode:2009ApJ...700.1690G. doi:10.1088/0004-637X/700/2/1690.


  50. ^ Macchetto, F.; Marconi, A.; Axon, D. J.; Capetti, A.; Sparks, W.; Crane, P. (November 1997). "The Supermassive Black Hole of M87 and the Kinematics of Its Associated Gaseous Disk". Astrophysical Journal. 489 (2): 579. arXiv:astro-ph/9706252. Bibcode:1997ApJ...489..579M. doi:10.1086/304823.


  51. ^ Overbye, Dennis (2011-12-05). "Astronomers Find Biggest Black Holes Yet". The New York Times.


  52. ^ Shemmer, O.; Netzer, H.; Maiolino, R.; Oliva, E.; Croom, S.; Corbett, E.; di Fabrizio, L. (2004). "Near-Infrared Spectroscopy of High-Redshift Active Galactic Nuclei. I. A Metallicity-Accretion Rate Relationship". The Astrophysical Journal. 614 (2): 547. Bibcode:2004ApJ...614..547S. doi:10.1086/423607.


  53. ^ Major, Jason. "Watch what happens when two supermassive black holes collide". Universe today. Retrieved 4 June 2013.


  54. ^ D. Merritt; M. Milosavljevic (2005). "Massive Black Hole Binary Evolution". Archived from the original on 2012-03-30. Retrieved 2012-03-03.


  55. ^ Shiga, David (10 January 2008). "Biggest black hole in the cosmos discovered". NewScientist.com news service.


  56. ^ Kaufman, Rachel (10 January 2011). "Huge Black Hole Found in Dwarf Galaxy". National Geographic. Retrieved 1 June 2011.


  57. ^
    "Astronomers catch first glimpse of star being consumed by black hole". The Sydney Morning Herald. 2011-08-26.


  58. ^ Burrows, D. N.; Kennea, J. A.; Ghisellini, G.; Mangano, V.; et al. (Aug 2011). "Relativistic jet activity from the tidal disruption of a star by a massive black hole". Nature. 476 (7361): 421–424. arXiv:1104.4787. Bibcode:2011Natur.476..421B. doi:10.1038/nature10374. PMID 21866154.


  59. ^ Zauderer, B. A.; Berger, E.; Soderberg, A. M.; Loeb, A.; et al. (Aug 2011). "Birth of a relativistic outflow in the unusual γ-ray transient Swift J164449.3+573451". Nature. 476 (7361): 425–428. arXiv:1106.3568. Bibcode:2011Natur.476..425Z. doi:10.1038/nature10366. PMID 21866155.


  60. ^ Remco C. E. van den Bosch, Karl Gebhardt, Kayhan Gültekin, Glenn van de Ven, Arjen van der Wel, Jonelle L. Walsh, An over-massive black hole in the compact lenticular galaxy NGC 1277, Nature 491, pp. 729–731 (29 November 2012) doi:10.1038/nature11592, published online 28 November 2012


  61. ^ Emsellem, Eric (2013). "Is the black hole in NGC 1277 really overmassive?". Monthly Notices of the Royal Astronomical Society. 433 (3): 1862–1870. arXiv:1305.3630. Bibcode:2013MNRAS.433.1862E. doi:10.1093/mnras/stt840.


  62. ^ Reynolds, Christopher (2013). "Astrophysics: Black holes in a spin". Nature. 494 (7438): 432–433. Bibcode:2013Natur.494..432R. doi:10.1038/494432a. PMID 23446411.


  63. ^ Prostak, Sergio (28 February 2013). "Astronomers: Supermassive Black Hole in NGC 1365 Spins at Nearly Light-Speed". Sci-News.com. Retrieved 20 March 2015.


  64. ^ "Hubble views a supermassive black hole burping – twice". www.spacetelescope.org. Retrieved 15 January 2018.


  65. ^ Bañados, Eduardo; et al. (6 December 2017). "An 800-million-solar-mass black hole in a significantly neutral Universe at a redshift of 7.5". Nature. 553 (7689): 473–476. arXiv:1712.01860. Bibcode:2018Natur.553..473B. doi:10.1038/nature25180. PMID 29211709. Retrieved 6 December 2017.CS1 maint: Explicit use of et al. (link)


  66. ^ Landau, Elizabeth; Bañados, Eduardo (6 December 2017). "Found: Most Distant Black Hole". NASA. Retrieved 6 December 2017.


  67. ^ Choi, Charles Q. (6 December 2017). "Oldest Monster Black Hole Ever Found Is 800 Million Times More Massive Than the Sun". Space.com. Retrieved 6 December 2017.


  68. ^ Particle emission rates from a black hole: Massless particles from an uncharged, nonrotating hole, Don N. Page, Physical Review D 13 (1976), pp. 198–206. doi:10.1103/PhysRevD.13.198. See in particular equation (27).


  69. ^ Frautschi, S., 1982. Entropy in an expanding universe. Science, 217(4560), pp.593-599. See page 596: table 1 and section "black hole decay" and previous sentence on that page
    .mw-parser-output .templatequoteoverflow:hidden;margin:1em 0;padding:0 40px.mw-parser-output .templatequote .templatequoteciteline-height:1.5em;text-align:left;padding-left:1.6em;margin-top:0

    "Since we have assumed a maximum scale of gravitational binding - for instance, superclusters of galaxies - black hole formation eventually comes to an end in our model, with masses of up to 1014M☉ ... the timescale for black holes to radiate away all their energy ranges ... to 10106 years for black holes of up to 1014M☉"





Further reading



  • Fulvio Melia (2003). The Edge of Infinity. Supermassive Black Holes in the Universe. Cambridge University Press. ISBN 978-0-521-81405-8.


  • Laura Ferrarese & David Merritt (2002). "Supermassive Black Holes". Physics World. 15 (1): 41–46. arXiv:astro-ph/0206222. Bibcode:2002astro.ph..6222F.


  • Fulvio Melia (2007). The Galactic Supermassive Black Hole. Princeton University Press. ISBN 978-0-691-13129-0.


  • Merritt, David (2013). Dynamics and Evolution of Galactic Nuclei. Princeton University Press. ISBN 978-0-691-12101-7.


  • Julian Krolik (1999). Active Galactic Nuclei. Princeton University Press. ISBN 978-0-691-01151-6.


External links






  • Black Holes: Gravity's Relentless Pull Award-winning interactive multimedia Web site about the physics and astronomy of black holes from the Space Telescope Science Institute

  • Images of supermassive black holes

  • NASA images of supermassive black holes

  • The black hole at the heart of the Milky Way

  • ESO video clip of stars orbiting a galactic black hole


  • Star Orbiting Massive Milky Way Centre Approaches to within 17 Light-Hours ESO, October 21, 2002

  • Images, Animations, and New Results from the UCLA Galactic Center Group

  • Washington Post article on Supermassive black holes

  • Video (2:46) – Simulation of stars orbiting Milky Way's central massive black hole


  • Video (2:13) – Simulation reveals supermassive black holes (NASA, 2 October 2018)










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