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Scaling Relations from Stellar to Supermassive Black Holes

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Abstract

Accretion is a ubiquitous phenomenon—it is seen in sources ranging from young stars to accreting supermassive black holes in the centres of galaxies. Here, we present the known empirical connections between stellar mass X-ray binaries and active galactic nuclei. We argue that this implies that both the accretion disc and the jet are scale invariant with respect to the black hole mass. Finally, we show that also accretion discs and jets in sources with a different accretor can be connected empirically to accreting black holes, hinting towards a common mechanism of accretion in all sources.

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References

  • S.W. Allen, R.J.H. Dunn, A.C. Fabian, G.B. Taylor, C.S. Reynolds, The relation between accretion rate and jet power in x-Ray luminous elliptical galaxies. Mon. Not. R. Astron. Soc. 372, 21–30 (2006). doi:10.1111/j.1365-2966.2006.10778.x

    Article  ADS  Google Scholar 

  • M.E. Bell, T. Tzioumis, P. Uttley, R.P. Fender, P. Arévalo, E. Breedt, I. McHardy, D.E. Calvelo, O. Jamil, E. Körding, X-ray and radio variability in the low-luminosity active galactic nucleus NGC 7213. Mon. Not. R. Astron. Soc. 411, 402–410 (2011). doi:10.1111/j.1365-2966.2010.17692.x

    Article  ADS  Google Scholar 

  • T. Belloni, D. Psaltis, M. van der Klis, A unified description of the timing features of accreting X-ray binaries. Astrophys. J. 572, 392–406 (2002)

    Article  ADS  Google Scholar 

  • R.D. Blandford, A. Kőnigl, Relativistic jets as compact radio sources. Astrophys. J. 232, 34–48 (1979). http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=1979ApJ...232...34B&db_key=AST

    Article  ADS  Google Scholar 

  • A. Bonchi, F. La Franca, G. Melini, A. Bongiorno, F. Fiore, On the radio luminosity distribution of active galactic nuclei and the black hole fundamental plane. Mon. Not. R. Astron. Soc. 429, 1970–1980 (2013). doi:10.1093/mnras/sts456

    Article  ADS  Google Scholar 

  • P. Casella, T. Belloni, L. Stella, The ABC of low-frequency quasi-periodic oscillations in black hole candidates: analogies with Z sources. Astrophys. J. 629, 403–407 (2005). doi:10.1086/431174

    Article  ADS  Google Scholar 

  • S. Corbel, R.P. Fender, A.K. Tzioumis, M. Nowak, V. McIntyre, P. Durouchoux, R. Sood, Coupling of the X-ray and radio emission in the black hole candidate and compact jet source GX 339-4. Astron. Astrophys. 359, 251–268 (2000)

    ADS  Google Scholar 

  • M. Coriat, S. Corbel, L. Prat, J.C.A. Miller-Jones, D. Cseh, A.K. Tzioumis, C. Brocksopp, J. Rodriguez, R.P. Fender, G.R. Sivakoff, Radiatively efficient accreting black holes in the hard state: the case study of H1743-322. Mon. Not. R. Astron. Soc. 414, 677–690 (2011). doi:10.1111/j.1365-2966.2011.18433.x

    Article  ADS  Google Scholar 

  • W. Cui, W.A. Heindl, R.E. Rothschild, S.N. Zhang, K. Jahoda, W. Focke, Rossi X-ray Timing Explorer observation of Cygnus X-1 in its high state. Astrophys. J. Lett. 474, 57 (1997). doi:10.1086/310419

    Article  ADS  Google Scholar 

  • M. Elvis, T. Maccacaro, A.S. Wilson, M.J. Ward, M.V. Penston, R.A.E. Fosbury, G.C. Perola, Seyfert galaxies as X-ray sources. Mon. Not. R. Astron. Soc. 183, 129–157 (1978)

    Article  ADS  Google Scholar 

  • M. Elvis, R.F. Green, J. Bechtold, M. Schmidt, G. Neugebauer, B.T. Soifer, K. Matthews, G. Fabbiano, X-ray spectra of PG quasars. I—The continuum from X-rays to infrared. Astrophys. J. 310, 291–316 (1986). doi:10.1086/164683

    Article  ADS  Google Scholar 

  • H. Falcke, P.L. Biermann, The jet-disk symbiosis. I. Radio to X-ray emission models for quasars. Astron. Astrophys. 293, 665–682 (1995). http://esoads.eso.org/cgi-bin/nph-bib_query?bibcode=1995A%26A...293..665F&db_key=AST

    ADS  Google Scholar 

  • H. Falcke, E. Kőrding, S. Markoff, A scheme to unify low-power accreting black holes. Jet-dominated accretion flows and the radio/X-ray correlation. Astron. Astrophys. 414, 895–903 (2004)

    Article  ADS  Google Scholar 

  • S.A. Farrell, N.A. Webb, D. Barret, O. Godet, J.M. Rodrigues, An intermediate-mass black hole of over 500 solar masses in the galaxy ESO243-49. Nature 460, 73–75 (2009). doi:10.1038/nature08083

    Article  ADS  Google Scholar 

  • R.P. Fender, E. Kuulkers, On the peak radio and X-ray emission from neutron star and black hole candidate X-ray transients. Mon. Not. R. Astron. Soc. 324, 923–930 (2001). doi:10.1046/j.1365-8711.2001.04345.x

    Article  ADS  Google Scholar 

  • R. Fender, K. Wu, H. Johnston, T. Tzioumis, P. Jonker, R. Spencer, M. van der Klis, An ultra-relativistic outflow from a neutron star accreting gas from a companion. Nature 427, 222–224 (2004)

    Article  ADS  Google Scholar 

  • G. Fossati, L. Maraschi, A. Celotti, A. Comastri, G. Ghisellini, A unifying view of the spectral energy distributions of blazars. Mon. Not. R. Astron. Soc. 299, 433–448 (1998). doi:10.1046/j.1365-8711.1998.01828.x

    Article  ADS  Google Scholar 

  • E. Gallo, R.P. Fender, G.G. Pooley, A universal radio-X-ray correlation in low/hard state black hole binaries. Mon. Not. R. Astron. Soc. 344, 60–72 (2003)

    Article  ADS  Google Scholar 

  • E. Gallo, R. Fender, C. Kaiser, D. Russell, R. Morganti, T. Oosterloo, S. Heinz, A dark jet dominates the power output of the stellar black hole Cygnus X-1. Nature 436, 819–821 (2005). doi:10.1038/nature03879

    Article  ADS  Google Scholar 

  • E. Gallo, B.P. Miller, R. Fender, Assessing luminosity correlations via cluster analysis: evidence for dual tracks in the radio/X-ray domain of black hole X-ray binaries. Mon. Not. R. Astron. Soc. 423, 590–599 (2012). doi:10.1111/j.1365-2966.2012.20899.x

    Article  ADS  Google Scholar 

  • M. Gierliński, M. Middleton, M. Ward, C. Done, A periodicity of ∼1 hour in X-ray emission from the active galaxy RE J1034+396. Nature 455, 369–371 (2008). doi:10.1038/nature07277

    Article  ADS  Google Scholar 

  • A.R. Green, I.M. McHardy, H.J. Lehto, On the nature of rapid X-ray variability in active galactic nuclei. Mon. Not. R. Astron. Soc. 265, 664 (1993)

    Article  ADS  Google Scholar 

  • K. Gültekin, E.M. Cackett, J.M. Miller, T. Di Matteo, S. Markoff, D.O. Richstone, The fundamental plane of accretion onto black holes with dynamical masses. Astrophys. J. 706, 404–416 (2009). doi:10.1088/0004-637X/706/1/404

    Article  ADS  Google Scholar 

  • A. Heger, C.L. Fryer, S.E. Woosley, N. Langer, D.H. Hartmann, How massive single stars end their life. Astrophys. J. 591, 288–300 (2003). doi:10.1086/375341

    Article  ADS  Google Scholar 

  • S. Heinz, R.A. Sunyaev, The non-linear dependence of flux on black hole mass and accretion rate in core-dominated jets. Mon. Not. R. Astron. Soc. 343, 59–64 (2003). doi:10.1046/j.1365-8711.2003.06918.x

    Article  ADS  Google Scholar 

  • S. Heinz, A. Merloni, J. Schwab, The kinetic luminosity function and the jet production efficiency of growing black holes. Astrophys. J. Lett. 658, 9–12 (2007). doi:10.1086/513507

    Article  ADS  Google Scholar 

  • L.C. Ho, “Low-state” black hole accretion in nearby galaxies. Astrophys. Space Sci. 300, 219–225 (2005). doi:10.1007/s10509-005-1198-3

    Article  ADS  Google Scholar 

  • J. Homan, T. Belloni, The evolution of black hole states. Astrophys. Space Sci. 300, 107–117 (2005). doi:10.1007/s10509-005-1197-4

    Article  ADS  Google Scholar 

  • O. Jamil, R.P. Fender, C.R. Kaiser, iShocks: X-ray binary jets with an internal shocks model. Mon. Not. R. Astron. Soc. 401, 394–404 (2010). doi:10.1111/j.1365-2966.2009.15652.x

    Article  ADS  Google Scholar 

  • C.R. Kaiser, The flat synchrotron spectra of partially self-absorbed jets revisited. Mon. Not. R. Astron. Soc. 367, 1083–1094 (2006). doi:10.1111/j.1365-2966.2006.10030.x

    Article  ADS  Google Scholar 

  • B.C. Kelly, T. Treu, M. Malkan, A. Pancoast, J.-H. Woo, Active galactic nucleus black hole mass estimates in the era of time domain astronomy. Astrophys. J. 779, 187 (2013). doi:10.1088/0004-637X/779/2/187

    Article  ADS  Google Scholar 

  • E. Körding, H. Falcke, S. Corbel, Refining the fundamental plane of accreting black holes. Astron. Astrophys. 456, 439–450 (2006a). doi:10.1051/0004-6361:20054144

    Article  ADS  MATH  Google Scholar 

  • E.G. Körding, R.P. Fender, S. Migliari, Jet-dominated advective systems: radio and X-ray luminosity dependence on the accretion rate. Mon. Not. R. Astron. Soc. 369, 1451–1458 (2006b). doi:10.1111/j.1365-2966.2006.10383.x

    Article  ADS  Google Scholar 

  • E.G. Körding, S. Jester, R. Fender, Measuring the accretion rate and kinetic luminosity functions of supermassive black holes. Mon. Not. R. Astron. Soc. 1100 (2007a). doi:10.1111/j.1365-2966.2007.12529.x

  • E.G. Körding, S. Migliari, R. Fender, T. Belloni, C. Knigge, I. McHardy, The variability plane of accreting compact objects. Mon. Not. R. Astron. Soc. 380, 301–310 (2007b). doi:10.1111/j.1365-2966.2007.12067.x

    Article  ADS  Google Scholar 

  • E. Kuulkers, M. van der Klis, GX340+0 with EXOSAT: its correlated X-ray spectral and timing behaviour. Astron. Astrophys. 314, 567–575 (1996)

    ADS  Google Scholar 

  • D. Lynden-Bell, Galactic nuclei as collapsed old quasars. Nature 223, 690–694 (1969). doi:10.1038/223690a0

    Article  ADS  Google Scholar 

  • Y.E. Lyubarskii, Flicker noise in accretion discs. Mon. Not. R. Astron. Soc. 292, 679 (1997)

    Article  ADS  Google Scholar 

  • S. Markoff, M. Nowak, S. Corbel, R. Fender, H. Falcke, Exploring the role of jets in the radio/X-ray correlations of GX 339-4. Astron. Astrophys. 397, 645–658 (2003)

    Article  ADS  Google Scholar 

  • S. Markoff, M.A. Nowak, J. Wilms, Going with the flow: can the base of jets subsume the role of compact accretion disk coronae? Astrophys. J. 635, 1203–1216 (2005). doi:10.1086/497628

    Article  ADS  Google Scholar 

  • A. Markowitz, R. Edelson, S. Vaughan, P. Uttley, I.M. George, R.E. Griffiths, S. Kaspi, A. Lawrence, I. McHardy, K. Nandra, K. Pounds, J. Reeves, N. Schurch, R. Warwick, X-ray fluctuation power spectral densities of Seyfert 1 galaxies. Astrophys. J. 593, 96–114 (2003)

    Article  ADS  Google Scholar 

  • I. McHardy, EXOSAT observations of variability in active galactic nuclei. Mem. Soc. Astron. Ital. 59, 239–259 (1988)

    ADS  Google Scholar 

  • I.M. McHardy, E. Körding, C. Knigge, P. Uttley, R.P. Fender, Active galactic nuclei as scaled-up Galactic black holes. Nature 444, 730–732 (2006). doi:10.1038/nature05389

    Article  ADS  Google Scholar 

  • I.M. McHardy, P. Arévalo, P. Uttley, I.E. Papadakis, D.P. Summons, W. Brinkmann, M.J. Page, Discovery of multiple Lorentzian components in the X-ray timing properties of the Narrow Line Seyfert 1 Ark 564. Mon. Not. R. Astron. Soc. 382, 985–994 (2007). doi:10.1111/j.1365-2966.2007.12411.x

    Article  ADS  Google Scholar 

  • A. Merloni, S. Heinz, T. Di Matteo, A fundamental plane of black hole activity. Mon. Not. R. Astron. Soc. 345, 1057–1076 (2003)

    Article  ADS  Google Scholar 

  • A. Merloni, E. Körding, S. Heinz, S. Markoff, T. Di Matteo, H. Falcke, Why the fundamental plane of black hole activity is not simply a distance driven artifact. New Astron. 11, 567–576 (2006). doi:10.1016/j.newast.2006.03.002

    Article  ADS  Google Scholar 

  • S. Migliari, R.P. Fender, M. van der Klis, Correlation between radio luminosity and X-ray timing frequencies in neutron star and black hole X-ray binaries. Mon. Not. R. Astron. Soc. 799 (2005). doi:10.1111/j.1365-2966.2005.09412.x

  • J.M. Miller, M. Nowak, S. Markoff, M.P. Rupen, D. Maitra, Exploring accretion and disk-jet connections in the LLAGN M81*. Astrophys. J. 720, 1033–1037 (2010). doi:10.1088/0004-637X/720/2/1033

    Article  ADS  Google Scholar 

  • I.F. Mirabel, L.F. Rodriguez, A superluminal source in the galaxy. Nature 371, 46 (1994). http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=1994Natur.371...46M&db_key=AST

    Article  ADS  Google Scholar 

  • K. Nandra, I.M. George, R.F. Mushotzky, T.J. Turner, T. Yaqoob, ASCA observations of Seyfert 1 galaxies. I. Data analysis, imaging, and timing. Astrophys. J. 476, 70–82 (1997)

    Article  ADS  Google Scholar 

  • R. Narayan, I. Yi, Advection-dominated accretion: a self-similar solution. Astrophys. J. Lett. 428, 13–16 (1994)

    Article  ADS  Google Scholar 

  • M.A. Nowak, J. Wilms, B.A. Vaughan, J.B. Dove, M.C. Begelman, Rossi X-ray Timing Explorer observation of Cygnus X-1. III. Implications for Compton corona and advection-dominated accretion flow models. Astrophys. J. 515, 726–737 (1999)

    Article  ADS  Google Scholar 

  • F. Özel, D. Psaltis, R. Narayan, J.E. McClintock, The black hole mass distribution in the Galaxy. Astrophys. J. 725, 1918–1927 (2010). doi:10.1088/0004-637X/725/2/1918

    Article  ADS  Google Scholar 

  • R.M. Plotkin, S. Markoff, B.C. Kelly, E. Körding, S.F. Anderson, Using the fundamental plane of black hole activity to distinguish X-ray processes from weakly accreting black holes. Mon. Not. R. Astron. Soc. 419, 267–286 (2012). doi:10.1111/j.1365-2966.2011.19689.x

    Article  ADS  Google Scholar 

  • G. Ponti, I. Papadakis, S. Bianchi, M. Guainazzi, G. Matt, P. Uttley, N.F. Bonilla, CAIXA: a catalogue of AGN in the XMM-Newton archive. III. Excess variance analysis. Astron. Astrophys. 542, 83 (2012). doi:10.1051/0004-6361/201118326

    Article  ADS  Google Scholar 

  • K. Pottschmidt, J. Wilms, M.A. Nowak, G.G. Pooley, T. Gleissner, W.A. Heindl, D.M. Smith, R. Remillard, R. Staubert, Long term variability of Cygnus X-1. I. X-ray spectral-temporal correlations in the hard state. Astron. Astrophys. 407, 1039–1058 (2003)

    Article  ADS  Google Scholar 

  • M.J. Rees, Astrophysical evidence for black holes, in Black Holes and Relativistic Stars, ed. by R.M. Wald, 1998, p. 79

    Google Scholar 

  • R.A. Remillard, J.E. McClintock, X-ray properties of black-hole binaries. Annu. Rev. Astron. Astrophys. 44, 49–92 (2006). doi:10.1146/annurev.astro.44.051905.092532

    Article  ADS  Google Scholar 

  • G.B. Rybicki, A.P. Lightman, Radiative Processes in Astrophysics (Wiley-Interscience, New York, 1979), 393 pp. http://esoads.eso.org/cgi-bin/nph-bib_query?bibcode=1979rpa..book.....R&db_key=AST

    Google Scholar 

  • P. Uttley, I.M. McHardy, X-ray variability of NGC 3227 and 5506 and the nature of active galactic nucleus ‘states’. Mon. Not. R. Astron. Soc., 818 (2005). doi:10.1111/j.1365-2966.2005.09475.x

  • P. Uttley, I.M. McHardy, I.E. Papadakis, Measuring the broad-band power spectra of active galactic nuclei with RXTE. Mon. Not. R. Astron. Soc. 332, 231–250 (2002)

    Article  ADS  Google Scholar 

  • M. van der Klis, Quasi-periodic oscillations and noise in low-mass X-ray binaries. Annu. Rev. Astron. Astrophys. 27, 517–553 (1989)

    Article  ADS  Google Scholar 

  • M. van der Klis, A possible explanation for the “Parallel tracks” phenomenon in low-mass X-ray binaries. Astrophys. J. 561, 943–949 (2001). doi:10.1086/323378

    Article  ADS  Google Scholar 

  • S. Vaughan, P. Uttley, Detecting X-ray QPOs in active galaxies. Adv. Space Res. 38, 1405–1408 (2006). doi:10.1016/j.asr.2005.02.064

    Article  ADS  Google Scholar 

  • N.E. White, A.C. Fabian, R.F. Mushotzky, X-ray spectral signatures of accreting black holes. Astron. Astrophys. 133, 9–11 (1984)

    ADS  Google Scholar 

  • R. Wijnands, M. Mendez, M. van der Klis, D. Psaltis, E. Kuulkers, F.K. Lamb, Discovery of kilohertz quasi-periodic oscillations in the Z source GX 5-1. Astrophys. J. Lett. 504, 35 (1998). doi:10.1086/311564

    Article  ADS  Google Scholar 

  • S.E. Woosley, T.A. Weaver, The evolution and explosion of massive stars. II. Explosive hydrodynamics and nucleosynthesis. Astrophys. J. Suppl. Ser. 101, 181 (1995). doi:10.1086/192237

    Article  ADS  Google Scholar 

  • F. Yuan, W. Cui, Radio-X-ray correlation and the “quiescent state” of black hole sources. Astrophys. J. 629, 408–413 (2005). doi:10.1086/431453

    Article  ADS  Google Scholar 

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  1. Department of Astrophysics/IMAPP, Radboud University Nijmegen, P.O. Box 9010, 6500 GL, Nijmegen, The Netherlands

    Elmar Körding

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Körding, E. Scaling Relations from Stellar to Supermassive Black Holes. Space Sci Rev 183, 149–161 (2014). https://doi.org/10.1007/s11214-014-0056-4

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