From polytropic to barotropic perfect fluids in general-relativistic hydrodynamics

Details From polytropic to barotropic perfect fluids in general-relativistic hydrodynamics From polytropic to barotropic perfect fluids in general-relativistic hydrodynamics

2006-10-10

arxiv.org/abs/gr-qc/0610040v1

Acta Phys.Polon. B38 (2007) 39-60

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages. To appear in Acta Phys. Pol. B

Scientific paper

Two general-relativistic hydrodynamical models are considered: a model of self-gravitating static configurations of perfect fluid and a model of steady accretion of fluid onto a black hole. We generalise analytic results obtained for the original polytropic versions of these models onto a wider class of barotropic equations of state. The knowledge about the polytropic solutions is used to establish bounds on certain characteristic quantities appearing in both cases.

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