Discussions on a special static spherically symmetric perfect fluid solution of Einstein's equations

Details Discussions on a special static spherically symmetric perfect fluid solution of Einstein's equations Discussions on a special static spherically symmetric perfect fluid solution of Einstein's equations

2008-08-12

arxiv.org/abs/0808.1626v1

Physics

General Physics

Scientific paper

In this article, a special static spherically symmetric perfect fluid solution of Einstein's equations is provided. Though pressure and density both diverge at the origin, their ratio remains constant. The solution presented here fails to give positive pressure but nevertheless, it satisfies all energy conditions. In this new spacetime geometry, the metric becomes singular at some finite value of radial coordinate although, by using isotropic coordinates, this singularity could be avoided, as has been shown here. Some characteristics of this solution are also discussed.

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