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

Christian G. Boehmer
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Abstract

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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Christian G. Boehmer. 2004-09-24. Static perfect fluid balls with given equation of state and cosmological constant. https://arxiv.org/abs/gr-qc/0409030

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