Abstract
At low redshift, massive black holes are found in the centers of almost all large elliptical galaxies, and also in many lower-mass systems. Their evolution is believed to be inextricably entangled with that of their host galaxies. On the one hand, the galactic environment provides gas for the black holes to grow via accretion and shine as active galactic nuclei. On the other hand, massive black holes are expected to backreact on the galactic dynamics, by injecting energy in their surroundings via jets or radiative feedback. Moreover, if galaxies and dark-matter halos form hierarchically, from small systems at high redshift coalescing into larger ones at more recent epochs, massive black holes may also merge, potentially generating gravitational-wave signals detectable by present and future experiments. In this chapter, we discuss the predictions of current astrophysical models for the mergers of massive black holes in the mHz frequency band of the Laser Interferometer Space Antenna (LISA) and in the nHz frequency band of pulsar-timing array experiments. We focus in particular on the astrophysical uncertainties affecting these predictions, including the poorly known dynamical evolution of massive black-hole pairs at separations of hundreds of parsecs, the possible formation of “stalled” binaries at parsec separations (“final-parsec problem”), and the effect of baryonic physics (e.g., SN feedback) on the growth of massive black holes. We show that nHz-band predictions are much more robust than in the mHz band and comment on the implications of this fact for LISA and pulsar-timing arrays.
References
Antonini F, Barausse E, Silk J (2015) The coevolution of nuclear star clusters, massive black holes, and their host galaxies. Astrophys J 812:72
Antonini F, Barausse E, Silk J (2015) The imprint of massive black hole mergers on the correlation between nuclear star clusters and their host galaxies. Astrophys J Lett 806:L8
Arzoumanian Z, Baker PT, Brazier A, Burke- Spolaor S, Chamberlin SJ, Chatterjee S, Christy B, Cordes JM, Cornish NJ, Crawford F, Thankful Cromartie H, Crowter K, DeCesar M, Demorest PB, Dolch T, Ellis JA, Ferdman RD, Ferrara E, Folkner WM, Fonseca E, Garver-Daniels N, Gentile PA, Haas R, Hazboun JS, Huerta EA, Islo K, Jones G, Jones ML, Kaplan DL, Kaspi VM, Lam MT, Lazio TJW, Levin L, Lommen AN, Lorimer DR, Luo J, Lynch RS, Madison DR, McLaughlin MA, McWilliams ST, Mingarelli CMF, Ng C, Nice DJ, Park RS, Pennucci TT, Pol NS, Ransom SM, Ray PS, Rasskazov A, Siemens X, Simon J, Spiewak R, Stairs IH, Stinebring DR, Stovall K, Swiggum J, Taylor SR, Vallisneri M, van Haasteren R, Vigeland S, Zhu WW, NANOGrav Collaboration (2018) The NANOGrav 11 year data set: pulsar-timing constraints on the stochastic gravitational-wave background. Astrophys J 859:47
Arzoumanian Z, Baker PT, Blumer H, Becsy B, Brazier A, Brook PR, Burke-Spolaor S, Chatterjee S, Chen S, Cordes JM, Cornish NJ, Crawford F, Cromartie HT, DeCesar ME, Demorest PB, Dolch T, Ellis JA, Ferrara EC, Fiore W, Fonseca E, Garver-Daniels N, Gentile PA, Good DC, Hazboun JS, Holgado AM, Islo K, Jennings RJ, Jones ML, Kaiser AR, Kaplan DL, Kelley LZ, Key JS, Laal N, Lam MT, Lazio TJW, Lorimer DR, Luo J, Lynch RS, Madison DR, McLaughlin MA, Mingarelli CMF, Ng C, Nice DJ, Pennucci TT, Pol NS, Ransom SM, Ray PS, Shapiro-Albert BJ, Siemens X, Simon J, Spiewak R, Stairs IH, Stinebring DR, Stovall K, Sun JP, Swiggum JK, Taylor SR, Turner JE, Vallisneri M, Vigeland SJ, Witt CA (2020) The nanograv 12.5-year data set: search for an isotropic stochastic gravitational-wave background. in press
Baldassare VF, Geha M, Greene J (2019) A search for optical AGN variability in 35,000 low-mass galaxies with the Palomar Transient Factory. arXiv e-prints arXiv:1910.06342
Bañados E, Carilli C, Walter F, Momjian E, Decarli R, Farina EP, Mazzucchelli C, Venemans BP (2018) A powerful radio-loud quasar at the end of cosmic reionization. Astrophys J 861(2):L14
Barausse E (2012) The evolution of massive black holes and their spins in their galactic hosts. Mon Not R Astron Soc 423:2533–2557
Barausse E, Shankar F, Bernardi M, Dubois Y, Sheth RK (2017) Selection bias in dynamically measured supermassive black hole samples: scaling relations and correlations between residuals in semi-analytic galaxy formation models. Mon Not R Astron Soc 468:4782–4791
Barausse E, Dvorkin I, Tremmel M, Volonteri M, Bonetti M (2020) Massive black hole merger rates: the effect of kpc separation wandering and supernova feedback. arXiv e-prints arXiv:2006.03065
Bardeen JM, Bond JR, Kaiser N, Szalay AS (1986) The statistics of peaks of Gaussian random fields. Astrophys J 304:15
Begelman MC, Blandford RD, Rees MJ (1980) Massive black hole binaries in active galactic nuclei. Nature 287:307–309
Begelman MC, Rossi EM, Armitage PJ (2008) Quasi-stars: accreting black holes inside massive envelopes. Mon Not R Astron Soc 387(4):1649–1659
Behroozi PS, Wechsler RH, Conroy C (2013) The average star formation histories of galaxies in dark matter halos from z = 0-8. Astrophys J 770(1):57
Bekki K, Graham AW (2010) On the transition from nuclear-cluster- to black-hole-dominated galaxy cores. ApJL 714(2):L313–L317
Bhattacharya S, Heitmann K, White M, Lukić Z, Wagner C, Habib S (2011) Mass function predictions beyond ΛCDM. Astrophys J 732(2):122
Blandford RD, Payne DG (1982) Hydromagnetic flows from accretion disks and the production of radio jets. Mon Not R Astron Soc 199:883–903
Blandford RD, Znajek RL (1977) Electromagnetic extraction of energy from Kerr black holes. Mon Not R Astron Soc 179:433–456
Boco L, Lapi A, Danese L (2020) Growth of supermassive black hole seeds in ETG star-forming progenitors: multiple merging of stellar compact remnants via gaseous dynamical friction and gravitational-wave emission. Astrophys J 891(1):94
Bond JR, Cole S, Efstathiou G, Kaiser N (1991) Excursion set mass functions for hierarchical Gaussian fluctuations. Astrophys J 379:440
Bonetti M, Haardt F, Sesana A, Barausse E (2016) Post-Newtonian evolution of massive black hole triplets in galactic nuclei – I. Numerical implementation and tests. Mon Not R Astron Soc 461:4419–4434
Bonetti M, Haardt F, Sesana A, Barausse E (2018) Post-Newtonian evolution of massive black hole triplets in galactic nuclei – II. Survey of the parameter space. Mon Not R Astron Soc 477:3910–3926
Bonetti M, Sesana A, Barausse E, Haardt F (2018) Post-Newtonian evolution of massive black hole triplets in galactic nuclei – III. A robust lower limit to the nHz stochastic background of gravitational waves. Mon Not R Astron Soc 477:2599–2612
Bonetti M, Sesana A, Haardt F, Barausse E, Colpi M (2019) Post-Newtonian evolution of massive black hole triplets in galactic nuclei – IV. Implications for LISA. Mon Not R Astron Soc 486(3):4044–4060
Bower RG, Benson AJ, Malbon R, Helly JC, Frenk CS, Baugh CM, Cole S, Lacey CG (2006) Breaking the hierarchy of galaxy formation. Mon Not R Astron Soc 370(2):645–655
Boylan-Kolchin M, Ma CP, Quataert E (2008) Dynamical friction and galaxy merging time-scales. Mon Not R Astron Soc 383:93–101
Bryan GL, Norman ML (1998) Statistical properties of X-ray clusters: analytic and numerical comparisons. Astrophys J 495(1):80–99
Bullock JS, Dekel A, Kolatt TS, Kravtsov AV, Klypin AA, Porciani C, Primack JR (2001) A universal angular momentum profile for galactic halos. Astrophys J 555(1):240–257
Cattaneo A, Dekel A, Devriendt J, Guiderdoni B, Blaizot J (2006) Modelling the galaxy bimodality: shutdown above a critical halo mass. Mon Not R Astron Soc 370:1651–1665
Cimatti A, Fraternali F, Nipoti C (2019) Introduction to galaxy formation and evolution. Cambridge University Press, Cambridge
Cole S, Aragon-Salamanca A, Frenk CS, Navarro JF, Zepf SE (1994) A recipe for galaxy formation. Mon Not R Astron Soc 271:781–806
Cole S, Lacey CG, Baugh CM, Frenk CS (2000) Hierarchical galaxy formation. Mon Not R Astron Soc 319(1):168–204
Correa CA, Schaye J, Wyithe JSB, Duffy AR, Theuns T, Crain RA, Bower RG (2018) The formation of hot gaseous haloes around galaxies. Mon Not R Astron Soc 473(1): 538–559
Croton DJ, Springel V, White SDM, De Lucia G, Frenk CS, Gao L, Jenkins A, Kauffmann G, Navarro JF, Yoshida N (2006) The many lives of active galactic nuclei: cooling flows, black holes and the luminosities and colours of galaxies. Mon Not R Astron Soc 365:11–28
Cuadra J, Armitage PJ, Alexander RD, Begelman MC (2009) Massive black hole binary mergers within subparsec scale gas discs. Mon Not R Astron Soc 393:1423–1432
Daddi E, Elbaz D, Walter F, Bournaud F, Salmi F, Carilli C, Dannerbauer H, Dickinson M, Monaco P, Riechers D (2010) Different star formation laws for disks versus starbursts at low and high redshifts. Astrophys J Lett 714(1):L118–L122
Dekel A, Birnboim Y (2006) Galaxy bimodality due to cold flows and shock heating. Mon Not R Astron Soc 368:2–20
Dekel A, Birnboim Y, Engel G, Freundlich J, Goerdt T, Mumcuoglu M, Neistein E, Pichon C, Teyssier R, Zinger E (2009) Cold streams in early massive hot haloes as the main mode of galaxy formation. Nature 457:451–454
Desvignes G, Caballero RN, Lentati L, Verbiest JPW, Champion DJ, Stappers BW, Janssen GH, Lazarus P, Osłowski S, Babak S, Bassa CG, Brem P, Burgay M, Cognard I, Gair JR, Graikou E, Guillemot L, Hessels JWT, Jessner A, Jordan C, Karuppusamy R, Kramer M, Lassus A, Lazaridis K, Lee KJ, Liu K, Lyne AG, McKee J, Mingarelli CMF, Perrodin D, Petiteau A, Possenti A, Purver MB, Rosado PA, Sanidas S, Sesana A, Shaifullah G, Smits R, Taylor SR, Theureau G, Tiburzi C, van Haasteren R, Vecchio A (2016) High-precision timing of 42 millisecond pulsars with the European Pulsar Timing Array. Mon Not R Astron Soc 458:3341–3380
Devecchi B, Volonteri M, Rossi EM, Colpi M, Portegies Zwart S (2012) High-redshift formation and evolution of central massive objects – II. The census of BH seeds. Mon Not R Astron Soc 421(2):1465–1475
Di Matteo T, Springel V, Hernquist L (2005) Energy input from quasars regulates the growth and activity of black holes and their host galaxies. Nature 433:604–607
Di Matteo T, Khandai N, DeGraf C, Feng Y, Croft RAC, Lopez J, Springel V (2012) Cold flows and the first quasars. Astrophys J Lett 745(2):L29
Di Matteo T, Croft RAC, Feng Y, Waters D, Wilkins S (2017) The origin of the most massive black holes at high-z: BlueTides and the next quasar frontier. Mon Not R Astron Soc 467(4):4243–4251
Diemand J, Moore B, Stadel J (2005) Earth-mass dark-matter haloes as the first structures in the early Universe. Nature 433(7024):389–391
Diemer B, Mansfield P, Kravtsov AV, More S (2017) The splashback radius of halos from particle dynamics. II. Dependence on mass, accretion rate, redshift, and cosmology. Astrophys J 843(2):140
Dosopoulou F, Antonini F (2017) Dynamical friction and the evolution of supermassive black hole binaries: the final hundred-parsec problem. Astrophys J 840:31
Dubois Y, Devriendt J, Slyz A, Teyssier R (2012) Self-regulated growth of supermassive black holes by a dual jet-heating active galactic nucleus feedback mechanism: methods, tests and implications for cosmological simulations. Mon Not R Astron Soc 420(3):2662–2683
Duffell PC, D’Orazio D, Derdzinski A, Haiman Z, MacFadyen A, Rosen AL, Zrake J (2019) Circumbinary disks: accretion and torque as a function of mass ratio and disk viscosity. arXiv e-prints arXiv:1911.05506
Dvorkin I, Barausse E (2017) The nightmare scenario: measuring the stochastic gravitational wave background from stalling massive black hole binaries with pulsar timing arrays. Mon Not R Astron Soc 470(4):4547–4556
Eke VR, Cole S, Frenk CS (1996) Cluster evolution as a diagnostic for Omega. Mon Not R Astron Soc 282:263–280
Fakhouri O, Ma CP, Boylan-Kolchin M (2010) The merger rates and mass assembly histories of dark matter haloes in the two Millennium simulations. Mon Not R Astron Soc 406(4):2267–2278
Fan X, Strauss MA, Richards GT, Hennawi JF, Becker RH, White RL, Diamond-Stanic AM, Donley JL, Jiang L, Kim JS, Vestergaard M, Young JE, Gunn JE, Lupton RH, Knapp GR, Schneider DP, Brandt WN, Bahcall NA, Barentine JC, Brinkmann J, Brewington HJ, Fukugita M, Harvanek M, Kleinman SJ, Krzesinski J, Long D, Neilsen J Eric H, Nitta A, Snedden SA, Voges W (2006) A survey of z>5.7 quasars in the sloan digital sky survey. IV. Discovery of seven additional quasars. Astron J 131(3):1203–1209
Ferrarese L, Côté P, Dalla Bontà E, Peng EW, Merritt D, Jordán A, Blakeslee JP, Haşegan M, Mei S, Piatek S, Tonry JL, West MJ (2006) A fundamental relation between compact stellar nuclei, supermassive black holes, and their host galaxies. Astrophys J Lett 644(1):L21–L24
Frank J, King A, Raine D (2002) Accretion power in astrophysics. Cambridge University Press, Cambridge
Fujita A, Mac Low MM, Ferrara A, Meiksin A (2004) Cosmological feedback from high-redshift dwarf galaxies. Astrophys J 613(1):159–179
Gehren T, Fried J, Wehinger PA, Wyckoff S (1984) Host galaxies of quasars and their association with galaxy clusters. Astrophys J 278:11–27
Genel S, Bouché N, Naab T, Sternberg A, Genzel R (2010) The growth of dark matter halos: evidence for significant smooth accretion. Astrophys J 719(1):229–239
Genzel R, Tacconi LJ, Gracia-Carpio J, Sternberg A, Cooper MC, Shapiro K, Bolatto A, Bouché N, Bournaud F, Burkert A, Combes F, Comerford J, Cox P, Davis M, Schreiber NMF, Garcia-Burillo S, Lutz D, Naab T, Neri R, Omont A, Shapley A, Weiner B (2010) A study of the gas-star formation relation over cosmic time. Mon Not R Astron Soc 407(4):2091–2108
Giocoli C, Tormen G, Sheth RK (2012) Formation times, mass growth histories and concentrations of dark matter haloes. Mon Not R Astron Soc 422(1):185–198
Graham AW (2016) Black hole and nuclear cluster scaling relations: M bh ˜M nc2.7+∕−0.7. In: Meiron Y, Li S, Liu FK, Spurzem R (eds) Star clusters and black holes in galaxies across cosmic time, vol 312, pp 269–273. https://doi.org/10.1017/S1743921315008017, 1412.5715
Graham AW, Spitler LR (2009) Quantifying the coexistence of massive black holes and dense nuclear star clusters. MNRAS 397(4):2148–2162
Greene JE, Strader J, Ho LC (2019) Intermediate-mass black holes. arXiv e-prints arXiv:1911.09678
Habouzit M, Volonteri M, Dubois Y (2017) Blossoms from black hole seeds: properties and early growth regulated by supernova feedback. Mon Not R Astron Soc 468(4):3935–3948
Hellings RW, Downs GS (1983) Upper limits on the isotropic gravitational radiation background from pulsar timing analysis. Astrophys J Lett 265:L39–L42
Holley-Bockelmann K, Khan FM (2015) Galaxy rotation and rapid supermassive binary coalescence. Astrophys J 810:139
Hopkins PF, Cox TJ, Kereš D, Hernquist L (2008) A cosmological framework for the co-evolution of quasars, supermassive black holes, and elliptical galaxies. II. Formation of red ellipticals. Astrophys J 175(2):390–422
Jenkins A, Frenk CS, White SDM, Colberg JM, Cole S, Evrard AE, Couchman HMP, Yoshida N (2001) The mass function of dark matter haloes. Mon Not R Astron Soc 321(2):372–384
Jiang F, van den Bosch FC (2014) Generating merger trees for dark matter haloes: a comparison of methods. Mon Not R Astron Soc 440(1):193–207
Kauffmann G, White SDM (1993) The merging history of dark matter haloes in a hierarchical universe. Mon Not R Astron Soc 261:921–928
Kauffmann G, White SDM, Guiderdoni B (1993) The formation and evolution of galaxies within merging dark matter haloes. Mon Not R Astron Soc 264:201–218
Khan FM, Just A, Merritt D (2011) Efficient merger of binary supermassive black holes in merging galaxies. Astrophys J 732(2):89
Klein A, Barausse E, Sesana A, Petiteau A, Berti E, Babak S, Gair J, Aoudia S, Hinder I, Ohme F, Wardell B (2016) Science with the space-based interferometer eLISA: supermassive black hole binaries. Phys Rev D 93(2):024003
Kormendy J, Ho LC (2013) Coevolution (Or Not) of supermassive black holes and host galaxies. Annu Rev Astron Astrophys 51:511–653
Kormendy J, Richstone D (1995) Inward bound—the search for supermassive black holes in galactic nuclei. Annu Rev Astron Astrophys 33:581
Kozai Y (1962) Secular perturbations of asteroids with high inclination and eccentricity. Astron J 67:591
Kroupa P, Subr L, Jerabkova T, Wang L (2020) Very high redshift quasars and the rapid emergence of supermassive black holes. Mon Not R Astron Soc 498(4):5652–5683
Lacey C, Cole S (1993) Merger rates in hierarchical models of galaxy formation. Mon Not R Astron Soc 262(3):627–649
Lapi A, Cavaliere A (2011) Self-similar dynamical relaxation of dark matter halos in an expanding universe. Astrophys J 743(2):127
Lapi A, Danese L (2020) A stochastic theory of the hierarchical clustering I. Halo mass function. arXiv e-prints arXiv:2009.07023
Lapi A, Salucci P, Danese L (2013) Statistics of dark matter halos from the excursion set approach. Astrophys J 772(2):85
Latif MA, Ferrara A (2016) Formation of supermassive black hole seeds. Publ Astron Soc Austral 33:e051
Latif MA, Ferrara A (2016) Formation of supermassive black hole seeds. Publ Astron Soc Aust 33:e051
Lidov ML (1962) The evolution of orbits of artificial satellites of planets under the action of gravitational perturbations of external bodies. Planet Space Sci 9:719–759
Lodato G, Nayakshin S, King AR, Pringle JE (2009) Black hole mergers: can gas discs solve the ‘final parsec’ problem? Mon Not R Astron Soc 398:1392–1402
Macciò AV, Dutton AA, van den Bosch FC (2008) Concentration, spin and shape of dark matter haloes as a function of the cosmological model: WMAP1, WMAP3 and WMAP5 results. Mon Not R Astron Soc 391(4):1940–1954
MacFadyen AI, Milosavljević M (2008) An eccentric circumbinary accretion disk and the detection of binary massive black holes. Astrophys J 672:83–93
Madau P, Rees MJ (2001) Massive black holes as population III remnants. Astrophys J Lett 551:L27–L30
Madau P, Haardt F, Dotti M (2014) Super-critical growth of massive black holes from stellar-mass seeds. Astrophys J Lett 784:L38
Mayer L, Bonoli S (2019) The route to massive black hole formation via merger-driven direct collapse: a review. Rep Prog Phys 82(1):016901
Mayer L, Kazantzidis S, Escala A, Callegari S (2010) Direct formation of supermassive black holes via multi-scale gas inflows in galaxy mergers. Nature 466(7310):1082–1084
Mayer L, Fiacconi D, Bonoli S, Quinn T, Roškar R, Shen S, Wadsley J (2015) Direct formation of supermassive black holes in metal-enriched gas at the heart of high-redshift Galaxy mergers. Astrophys J 810(1):51
McConnell NJ, Ma CP (2013) Revisiting the scaling relations of black hole masses and host galaxy properties. Astrophys J 764:184
Mo H, van den Bosch F, White S (2009) Galaxy formation and evolution. Cambridge University Press, Cambridge
Mo HJ, White SDM (1996) An analytic model for the spatial clustering of dark matter haloes. Mon Not R Astron Soc 282(2):347–361
Mo HJ, Mao S, White SDM (1998) The formation of galactic discs. Mon Not R Astron Soc 295(2):319–336
Monaco P, Fontanot F, Taffoni G (2007) The MORGANA model for the rise of galaxies and active nuclei. Mon Not R Astron Soc 375(4):1189–1219
More S, Diemer B, Kravtsov AV (2015) The splashback radius as a physical halo boundary and the growth of halo mass. Astrophys J 810(1):36
Mortlock DJ, Warren SJ, Venemans BP, Patel M, Hewett PC, McMahon RG, Simpson C, Theuns T, Gonzáles-Solares EA, Adamson A, Dye S, Hambly NC, Hirst P, Irwin MJ, Kuiper E, Lawrence A, Röttgering HJA (2011) A luminous quasar at a redshift of z = 7.085. Nature 474(7353):616–619
Muñoz DJ, Miranda R, Lai D (2019) Hydrodynamics of circumbinary accretion: angular momentum transfer and binary orbital evolution. Astrophys J 871(1):84
Navarro JF, Frenk CS, White SDM (1997) A universal density profile from hierarchical clustering. Astrophys J 490(2):493–508
Nelson D, Pillepich A, Springel V, Pakmor R, Weinberger R, Genel S, Torrey P, Vogelsberger M, Marinacci F, Hernquist L (2019) First Results from the TNG50 simulation: galactic outflows driven by supernovae and black hole feedback. Mon Not R Astron Soc 490:3234–3261
Nixon CJ, Cossins PJ, King AR, Pringle JE (2011) Retrograde accretion and merging supermassive black holes. Mon Not R Astron Soc 412:1591–1598
Parkinson H, Cole S, Helly J (2008) Generating dark matter halo merger trees. Mon Not R Astron Soc 383:557–564
Steven (Department of Physics Weinberg UoTaA, Weinberg S (2008) Cosmology. Oxford University Publishing, Oxford
Planck Collaboration, Aghanim N, Akrami Y, Ashdown M, Aumont J, Baccigalupi C, Ballardini M, Banday AJ, Barreiro RB, Bartolo N, Basak S, Battye R, Benabed K, Bernard JP, Bersanelli M, Bielewicz P, Bock JJ, Bond JR, Borrill J, Bouchet FR, Boulanger F, Bucher M, Burigana C, Butler RC, Calabrese E, Cardoso JF, Carron J, Challinor A, Chiang HC, Chluba J, Colombo LPL, Combet C, Contreras D, Crill BP, Cuttaia F, de Bernardis P, de Zotti G, Delabrouille J, Delouis JM, Di Valentino E, Diego JM, Doré O, Douspis M, Ducout A, Dupac X, Dusini S, Efstathiou G, Elsner F, Enßlin TA, Eriksen HK, Fantaye Y, Farhang M, Fergusson J, Fernandez-Cobos R, Finelli F, Forastieri F, Frailis M, Fraisse AA, Franceschi E, Frolov A, Galeotta S, Galli S, Ganga K, Génova-Santos RT, Gerbino M, Ghosh T, González-Nuevo J, Górski KM, Gratton S, Gruppuso A, Gudmundsson JE, Hamann J, Handley W, Hansen FK, Herranz D, Hildebrandt SR, Hivon E, Huang Z, Jaffe AH, Jones WC, Karakci A, Keihänen E, Keskitalo R, Kiiveri K, Kim J, Kisner TS, Knox L, Krachmalnicoff N, Kunz M, Kurki-Suonio H, Lagache G, Lamarre JM, Lasenby A, Lattanzi M, Lawrence CR, Le Jeune M, Lemos P, Lesgourgues J, Levrier F, Lewis A, Liguori M, Lilje PB, Lilley M, Lindholm V, López-Caniego M, Lubin PM, Ma YZ, Macías-Pérez JF, Maggio G, Maino D, Mandolesi N, Mangilli A, Marcos-Caballero A, Maris M, Martin PG, Martinelli M, Martínez-González E, Matarrese S, Mauri N, McEwen JD, Meinhold PR, Melchiorri A, Mennella A, Migliaccio M, Millea M, Mitra S, Miville-Deschênes MA, Molinari D, Montier L, Morgante G, Moss A, Natoli P, Nørgaard-Nielsen HU, Pagano L, Paoletti D, Partridge B, Patanchon G, Peiris HV, Perrotta F, Pettorino V, Piacentini F, Polastri L, Polenta G, Puget JL, Rachen JP, Reinecke M, Remazeilles M, Renzi A, Rocha G, Rosset C, Roudier G, Rubiño-Martín JA, Ruiz-Granados B, Salvati L, Sandri M, Savelainen M, Scott D, Shellard EPS, Sirignano C, Sirri G, Spencer LD, Sunyaev R, Suur-Uski AS, Tauber JA, Tavagnacco D, Tenti M, Toffolatti L, Tomasi M, Trombetti T, Valenziano L, Valiviita J, Van Tent B, Vibert L, Vielva P, Villa F, Vittorio N, Wand elt BD, Wehus IK, White M, White SDM, Zacchei A, Zonca A (2018) Planck 2018 results. VI. Cosmological parameters. arXiv e-prints arXiv:1807.06209
Pontzen A, Tremmel M, Roth N, Peiris HV, Saintonge A, Volonteri M, Quinn T, Governato F (2017) How to quench a galaxy. Mon Not R Astron Soc 465:547–558
Portegies Zwart SF, Baumgardt H, Hut P, Makino J, McMillan SLW (2004) Formation of massive black holes through runaway collisions in dense young star clusters. Nature 428(6984):724–726
Press WH, Schechter P (1974) Formation of galaxies and clusters of galaxies by self-similar gravitational condensation. Astrophys J 187:425–438
Quinlan GD (1996) The dynamical evolution of massive black hole binaries I. Hardening in a fixed stellar background. Nat Astron 1:35–56
Rasera Y, Teyssier R (2006) The history of the baryon budget. Cosmic logistics in a hierarchical universe. Astron Astrophys 445(1):1–27
Reines AE, Sivakoff GR, Johnson KE, Brogan CL (2011) An actively accreting massive black hole in the dwarf starburst galaxy Henize2-10. Nature 470:66–68
Reines AE, Greene JE, Geha M (2013) Dwarf galaxies with optical signatures of active massive black holes. Astrophys J 775:116
Ricarte A, Tremmel M, Natarajan P, Quinn T (2019) Tracing black hole and galaxy co-evolution in the ROMULUS simulations. Mon Not R Astron Soc 489(1): 802–819
Roedig C, Dotti M, Sesana A, Cuadra J, Colpi M (2011) Limiting eccentricity of subparsec massive black hole binaries surrounded by self-gravitating gas discs. Mon Not R Astron Soc 415:3033–3041
Sahu N, Graham AW, Davis BL (2019) Black hole mass scaling relations for early-type galaxies. I. M BH-M ∗,sph and M BH-M ∗,gal. Astrophys J 876(2):155
Sahu N, Graham AW, Davis BL (2019) Revealing hidden substructures in the M BH-σ diagram, and refining the bend in the L-σ relation. Astrophys J 887(1):10
Schaye J, Crain RA, Bower RG, Furlong M, Schaller M, Theuns T, Dalla Vecchia C, Frenk CS, McCarthy IG, Helly JC, Jenkins A, Rosas-Guevara YM, White SDM, Baes M, Booth CM, Camps P, Navarro JF, Qu Y, Rahmati A, Sawala T, Thomas PA, Trayford J (2015) The EAGLE project: simulating the evolution and assembly of galaxies and their environments. Mon Not R Astron Soc 446:521–554
Schramm M, Silverman JD (2013) The black hole-bulge mass relation of active galactic nuclei in the extended chandra deep field-south survey. Astrophys J 767:13
Scott N, Graham AW, Schombert J (2013) The supermassive black hole mass-spheroid stellar mass relation for Sérsic and Core-Sérsic galaxies. Astrophys J 768(1):76
Sesana A, Khan FM (2015) Scattering experiments meet N-body – I. A practical recipe for the evolution of massive black hole binaries in stellar environments. Mon Not R Astron Soc 454:L66–L70
Sesana A, Haardt F, Madau P (2006) Interaction of massive black hole binaries with their stellar environment. I. Ejection of hypervelocity stars. Astrophys J 651:392–400
Sesana A, Barausse E, Dotti M, Rossi EM (2014) Linking the spin evolution of massive black holes to galaxy kinematics. Astrophys J 794:104
Sesana A, Shankar F, Bernardi M, Sheth RK (2016) Selection bias in dynamically measured supermassive black hole samples: consequences for pulsar timing arrays. Mon Not R Astron Soc 463:L6–L11
Shankar F, Bernardi M, Sheth RK, Ferrarese L, Graham AW, Savorgnan G, Allevato V, Marconi A, Läsker R, Lapi A (2016) Selection bias in dynamically measured supermassive black hole samples: its consequences and the quest for the most fundamental relation. Mon Not R Astron Soc 460:3119–3142
Shannon RM, Ravi V, Lentati LT, Lasky PD, Hobbs G, Kerr M, Manchester RN, Coles WA, Levin Y, Bailes M, Bhat NDR, Burke-Spolaor S, Dai S, Keith MJ, Osłowski S, Reardon DJ, van Straten W, Toomey L, Wang JB, Wen L, Wyithe JSB, Zhu XJ (2015) Gravitational waves from binary supermassive black holes missing in pulsar observations. Science 349:1522–1525
Sharma S, Steinmetz M (2005) The angular momentum distribution of gas and dark matter in galactic halos. Astrophys J 628(1):21–44
Sheth RK, Tormen G (1999) Large-scale bias and the peak background split. Mon Not R Astron Soc 308(1):119–126
Somerville RS, Primack JR (1999) Semi-analytic modelling of galaxy formation: the local Universe. Mon Not R Astron Soc 310:1087–1110
Springel V, Hernquist L (2002) Cosmological smoothed particle hydrodynamics simulations: the entropy equation. Mon Not R Astron Soc 333(3):649–664
Taffoni G, Mayer L, Colpi M, Governato F (2003) On the life and death of satellite haloes. Mon Not R Astron Soc 341:434–448
Tinker J, Kravtsov AV, Klypin A, Abazajian K, Warren M, Yepes G, Gottlöber S, Holz DE (2008) Toward a halo mass function for precision cosmology: the limits of universality. Astrophys J 688(2):709–728
Tremmel M, Karcher M, Governato F, Volonteri M, Quinn TR, Pontzen A, Anderson L, Bellovary J (2017) The Romulus cosmological simulations: a physical approach to the formation, dynamics and accretion models of SMBHs. Mon Not R Astron Soc 470:1121–1139
Tremmel M, Governato F, Volonteri M, Quinn TR, Pontzen A (2018) Dancing to CHANGA: a self-consistent prediction for close SMBH pair formation time-scales following galaxy mergers. Mon Not R Astron Soc 475:4967–4977
van den Bosch FC, Burkert A, Swaters RA (2001) The angular momentum content of dwarf galaxies: new challenges for the theory of galaxy formation. Mon Not R Astron Soc 326(3):1205–1215
Vasiliev E (2014) Rates of capture of stars by supermassive black holes in non-spherical galactic nuclei. Classical Quantum Gravity 31(24):244002
Vasiliev E, Antonini F, Merritt D (2014) The Final-parsec Problem in Nonspherical Galaxies Revisited. Astrophys J 785:163
Vasiliev E, Antonini F, Merritt D (2015) The Final-parsec Problem in the Collisionless Limit. Astrophys J 810(1):49
Venemans BP, Walter F, Decarli R, Bañados E, Carilli C, Winters JM, Schuster K, da Cunha E, Fan X, Farina EP, Mazzucchelli C, Rix HW, Weiss A (2017) Copious amounts of dust and gas in a z = 7.5 quasar host galaxy. Astrophys J Lett 851(1):L8
Venemans BP, Walter F, Decarli R, Ferkinhoff C, Weiß A, Findlay JR, McMahon RG, Sutherland WJ, Meijerink R (2017) Molecular gas in three z ∼7 quasar host galaxies. Astrophys J 845(2):154
Venemans BP, Decarli R, Walter F, Bañados E, Bertoldi F, Fan X, Farina EP, Mazzucchelli C, Riechers D, Rix HW, Wang R, Yang Y (2018) Dust emission in an accretion-rate-limited sample of z ≳ 6 Quasars. Astrophys J 866(2):159
Vogelsberger M, Genel S, Springel V, Torrey P, Sijacki D, Xu D, Snyder G, Bird S, Nelson D, Hernquist L (2014) Properties of galaxies reproduced by a hydrodynamic simulation. Nature 509:177–182
Volonteri M, Reines AE (2016) Inferences on the relations between central black hole mass and total galaxy stellar mass in the high-redshift universe. Astrophys J Lett 820:L6
Volonteri M, Lodato G, Natarajan P (2008) The evolution of massive black hole seeds. Mon Not R Astron Soc 383:1079–1088
Volonteri M, Dubois Y, Pichon C, Devriendt J (2016) The cosmic evolution of massive black holes in the Horizon-AGN simulation. Mon Not R Astron Soc 460:2979–2996
Watson WA, Iliev IT, D’Aloisio A, Knebe A, Shapiro PR, Yepes G (2013) The halo mass function through the cosmic ages. Mon Not R Astron Soc 433(2):1230–1245
Yu Q (2002) Evolution of massive binary black holes. Mon Not R Astron Soc 331:935–958
Zhang J, Hui L (2006) On random walks with a general moving barrier. Astrophys J 641(2):641–646
Zhang J, Ma CP, Fakhouri O (2008) Conditional mass functions and merger rates of dark matter haloes in the ellipsoidal collapse model. Mon Not R Astron Soc 387(1):L13–L17
Zhao DH, Jing YP, Mo HJ, Börner G (2003) Mass and redshift dependence of dark halo structure. Astrophys J Lett 597(1):L9–L12
Zhao DH, Jing YP, Mo HJ, Börner G (2009) Accurate universal models for the mass accretion histories and concentrations of dark matter halos. Astrophys J 707(1):354–369
Zjupa J, Springel V (2017) Angular momentum properties of haloes and their baryon content in the Illustris simulation. Mon Not R Astron Soc 466(2):1625–1647
Acknowledgements
E.B. acknowledges financial support provided under the European Union’s H2020 ERC Consolidator Grant “GRavity from Astrophysical to Microscopic Scales” grant agreement no. GRAMS-815673. E.B. thanks I. Dvorkin, M. Bonetti, M. Tremmel, and M. Volonteri for numerous insightful conversations on the astrophysics of galaxies and black holes and for agreeing to adapting the figures of [9]. A.L. acknowledges financial support from the EU H2020-MSCAITN-2019 Project 860744 “BiD4BEST: Big Data applications for Black hole Evolution STudies” and from the PRIN MIUR 2017 prot. 20173ML3WW 002, “Opening the ALMA window on the cosmic evolution of gas, stars and massive black holes.” We thank J. Gonzalez for proofreading this manuscript.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Section Editor information
Rights and permissions
Copyright information
© 2021 Springer Nature Singapore Pte Ltd.
About this entry
Cite this entry
Barausse, E., Lapi, A. (2021). Massive Black-Hole Mergers. In: Bambi, C., Katsanevas, S., Kokkotas, K.D. (eds) Handbook of Gravitational Wave Astronomy. Springer, Singapore. https://doi.org/10.1007/978-981-15-4702-7_18-1
Download citation
DOI: https://doi.org/10.1007/978-981-15-4702-7_18-1
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-4702-7
Online ISBN: 978-981-15-4702-7
eBook Packages: Springer Reference Physics and AstronomyReference Module Physical and Materials ScienceReference Module Chemistry, Materials and Physics