Physics – Fluid Dynamics
Scientific paper
Jun 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992ap%26ss.192..113z&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 192, no. 1, June 1992, p. 113-126.
Physics
Fluid Dynamics
Black Holes (Astronomy), Density Distribution, Fluid Dynamics, Relativistic Effects, Stellar Systems, Astronomical Models, Galactic Nuclei, Globular Clusters
Scientific paper
The number density distribution of stars around a massive black hole in the core of stellar clusters is examined in the context of relativistic fluid dynamics. The steady-state cusp structure is calculated for the extreme relativistic, nonrelativistic, and adiabatic cases, and the density distribution in the core is obtained. The results indicate that cusp construction occurs in all cases unless the central black hole mass is zero, and the polytropic index does not affect the position of the capture radius. Obvious differences in the surface density are seen only in the interior of the capture radius; at the outer regions of the core, the surface density of stars declines rapidly in all cases as r exp -5.
Zhong Xie G.
Zhou Yuan
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