The star distribution around a massive black hole in a globular cluster. II Unequal star masses

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Globular Clusters, Star Distribution, Stellar Mass, Binary Stars, Boltzmann Distribution, Boundary Layer Equations, Mass Distribution, Scattering Functions, Steady State, Stellar Motions

Scientific paper

The steady-state distribution of stars around a massive black hole in a globular cluster is determined by solving numerically the coupled time-dependent Boltzmann equations for a system containing stars of two different masses. Similar results are found for an arbitrary spectrum of masses with the aid of approximate analytic solutions of the time-independent equations. The effects of mass segregation are summarized by scaling laws that are derived both by analytic approximations and by numerical solutions. The detectability of a black hole in a globular cluster is discussed in terms of possible observations of the central star distributions.

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