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Transforming the Einstein static universe into physically acceptable static fluid spheres

2008/04/30 by Kayll Lake · 2 citations
Physics and Astronomy · #Astronomy #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Einstein #Einstein equations #Einstein field equations #Exact solutions in general relativity #Galaxies: Formation, Evolution, Phenomena #General relativity #Perfect fluid #Physics #Quantum mechanics #SPHERES #Theoretical physics #Universe #astro-ph #gr-qc

paper · pdf · doi:10.1103/physrevd.77.127502

published as Phys.Rev.D77:127502,2008 · 4 pages two improved figures. To appear in Phys. Rev. D

arxiv created 2008/06/09 · openalex publication_date 2008/06/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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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