| GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS |
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A Constraint of Black Hole Mass and the Inner Edge Radius of Relativistic Accretion Disc |
| HE Liang, HUANG Chang-Yin, WANG Ding-Xiong**
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School of Physics, Huazhong University of Science and Technology, Wuhan 430074
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| Cite this article: |
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HE Liang, HUANG Chang-Yin, WANG Ding-Xiong 2011 Chin. Phys. Lett. 28 039701 |
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Abstract A constraint to black hole (BH) accretion has previously been derived for the inner edge fixed at the innermost stable circular orbit (ISCO) and the innermost bound circular orbit (IBCO). This constraint is referred to as the mass-radius (MR) relation in this study, and the validity of the MR relation is discussed for different cases. It is shown that the product of the BH mass and the inner edge radius decreases monotonically in the accretion process for the inner edge located between IBCO and ISCO. In addition, we discuss the validity of the MR relation by considering the magnetic coupling (MC) effects of a Kerr BH with its surrounding disc. Although theoretically the product of the BH mass and the radius of ISCO increases (decreases) with time for a BH spin greater (less) than some critical value in the MC process, this relation is approximately valid for an Eddington accretion rate persisting for a rather long time, such as more than 106 years. Finally, we discuss the possible application of the MR relation to astrophysics.
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| Keywords:
97.60.Lf
98.62.Mw
98.62.Js
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Received: 22 November 2010
Published: 28 February 2011
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| PACS: |
97.60.Lf
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(Black holes)
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98.62.Mw
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(Infall, accretion, and accretion disks)
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98.62.Js
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(Galactic nuclei (including black holes), circumnuclear matter, and bulges)
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[1] Bardeen J M 1970 Nature 226 64
[2] Thorne K S 1974 Astrophys. J. 191 507
[3] Abramowicz M A and Lasota J P 1980 Acta Astron. 30 35
[4] Moderski R and Sikora M 1996 Astron. Astronphys. Suppl. 120 591
[5] Wang D X 1999 Astron. & Astronphys. 347 1069
[6] Page D N and Thorne K S 1974 Astrophys. J. 191 499
[7] Blandford R D 1999 ASP Conf. Ser. 160 Astrophys. Discs: An EC Summer School ed Sellwood J A and Goodman J (San Francisco: ASP) p 265
[8] Li L X and Paczynski B 2000 Astrophys. J. 534 L197
[9] Wang D X, Xiao K and Lei W H 2002 Mon. Not. Roy. Astron. Soc. 335 655
[10] Blandford R D and Znajek R L 1977 Mon. Not. Roy. Astron. Soc. 179 433
[11] Moderski R, Sikora M and Lasota J P 1997 Relativistic Jets in AGNs eds Ostrowski M, Sikora M, Madejski G and Belgelman M (Krakow) p 110
[12] Blandford R D 1990 Active Galactic Nuclei ed Courvoisier T J L and Mayor M Saas-Fee Advanced Course 20 (Berlin: Springer) p 161
[13] Wilson A S and Colbert E J M 1995 Astrophys. J. 438 62
[14] Wang D X, Ma R Y, Lei W H and Yao G Z 2003 Astrophys. J. 595 109
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