(In)finiteness of Spherically Symmetric Static Perfect Fluids

Details (In)finiteness of Spherically Symmetric Static Perfect Fluids (In)finiteness of Spherically Symmetric Static Perfect Fluids

2002-04-08

arxiv.org/abs/gr-qc/0204034v1

Class.Quant.Grav. 19 (2002) 2835-2852

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1088/0264-9381/19/11/307

This work is concerned with the finiteness problem for static, spherically symmetric perfect fluids in both Newtonian Gravity and General Relativity. We derive criteria on the barotropic equation of state guaranteeing that the corresponding perfect fluid solutions possess finite/infinite extent. In the Newtonian case, for the large class of monotonic equations of state, and in General Relativity we improve earlier results.

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