The number-density of stars in a spherically-symmetric system containing a massive black hole at its center

Astronomy and Astrophysics – Astronomy

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Black Holes (Astronomy), Relativistic Theory, Star Distribution, Elliptical Galaxies, Galactic Nuclei, Globular Clusters

Scientific paper

In this paper, considering general relativity, the number densities of stars in a spherically-symmetric system containing a massive black hole in its center has been obtained for v = 4/3, 5/3, and the nonrelativistic case. The results obtained by Peebles (1972), Bahcall and Wolf (1976), and that obtained for an isothermal sphere case are discussed. Taking into account the stability of the system, it is found to be more rational to use n(r) about r exp -7/4 to express the number density of stars when they are near the massive central black hole.

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