The Core Radius of a Star Cluster Containing a Massive Black Hole

Details The Core Radius of a Star Cluster Containing a Massive Black Hole The Core Radius of a Star Cluster Containing a Massive Black Hole

Jun 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007pasj...59l..11h&link_type=abstract

Publications of the Astronomical Society of Japan, Vol.59, No.3, pp.L11-L14

Physics

15

Black Hole Physics, Galaxy: Globular Clusters: General, Stellar Dynamics

Scientific paper

We present a theoretical framework which establishes how the core radius of a star cluster varies with the mass of an assumed central black hole. Our result is that rc/rh ∝ (Mbh/M)3/4 when the system is well relaxed. The theory compares favourably with a number of simulations of this problem, which extend to black hole masses of order 10% of the cluster mass. Though strictly limited as yet to clusters with stars of equal mass, our conclusion strengthens the view that clusters with large core radii are the most promising candidates in which to find a massive black hole.

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