Journal
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
Volume 422, Issue 1, Pages L28-L32Publisher
OXFORD UNIV PRESS
DOI: 10.1111/j.1745-3933.2012.01229.x
Keywords
accretion, accretion discs; black hole physics; hydrodynamics; instabilities; globular clusters: general; galaxies: bulges
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Funding
- THCA
- MOST [2012CB821800]
- National Natural Science Foundation of China [10373009, 10533020, 11073014]
- Tsinghua University Initiative
- Yangtze Endowment
- MoE at Tsinghua University [SRFDP 20050003088, 200800030071, 20110002110008]
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There have been reports of possible detections of intermediate-mass black holes (IMBHs) in globular clusters (GCs). Empirically, there exists a tight correlation between the central supermassive black hole (SMBH) mass and the mean velocity dispersion of elliptical galaxies, 'pseudo-bulges' and classical bulges of spiral galaxies. We explore such a possible correlation for IMBHs in spherical GCs. In our model of self-similar general polytropic quasi-static dynamic evolution of GCs, a heuristic criterion of forming an IMBH is proposed. The key result is M-BH = L sigma(1/(1-n)), where M-BH is the IMBH mass, sigma is the GC mean stellar velocity dispersion, L is a coefficient and 2/3 < n < 1. Available observations are examined.
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