Transforming the Einstein static Universe into physically acceptable static fluid spheres

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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4 pages two improved figures. To appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.77.127502

The staid subject of exact static spherically symmetric perfect fluid solutions of Einstein's equations has been reinvigorated in the last decade. We now have several solution generating techniques which give rise to new exact solutions. Here the Einstein static Universe is transformed into a physically acceptable solution the properties of which are examined in detail. The emphasis here is on the importance of the integration constants that these generating techniques introduce.

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