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From polytropic to barotropic perfect fluids in general-relativistic hydrodynamics

Bogusz Kinasiewicz·Patryk Mach
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Abstract

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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Bogusz Kinasiewicz, Patryk Mach. 2006-10-10. From polytropic to barotropic perfect fluids in general-relativistic hydrodynamics. https://arxiv.org/abs/gr-qc/0610040

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