Static perfect fluid balls with given equation of state and cosmological constant

Details Static perfect fluid balls with given equation of state and cosmological constant Static perfect fluid balls with given equation of state and cosmological constant

2004-09-07

arxiv.org/abs/gr-qc/0409030v2

Ukr.J.Phys. 50 (2005) 1219-1225

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, LaTeX, 1 figure; new reference [7], submitted to the Ukrainian Journal of Physics

Scientific paper

Static and spherically symmetric perfect fluid solutions of Einstein's field equations with cosmological constant are analysed. After showing existence and uniqueness of a regular solution at the centre the extension of this solution is discussed. Then the existence of global solutions with given equation of state and cosmological constant bounded by 4 pi rho_b, where rho_b is the boundary density (given by the equation of state) of the perfect fluid ball, is proved.

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