The core evolution of a globular cluster containing massive black holes
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In this paper we consider effects of the general relativity and an accreting black hole in a globular cluster by studying the evolution of a globular cluster core as a whole, i.e., without the partition of the core into the so-called cusp and isothermal core regions. The globular cluster core is assumed to contain a massive black hole at its center. We show that the final fate of the evolution of a globular cluster core depends on the mass of the black hole at its center. When the massM of the black hole is greater than 3×103M⊙, there will be a contraction of the core. On the other hand, if the mass of the black hole is smaller (102M⊙≤M≤3×103M⊙) in the center, the core will expand until complete dissolution.
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