Transforming the Einstein static Universe into physically acceptable static fluid spheres II: A two - fold infinity of exact solutions

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dc.creatorGrenon, Cédric
dc.creatorElahi, Pascal J.
dc.creatorLake, Kayll
dc.date2008-05-21
dc.date2008-07-16
dc.date.accessioned2026-07-07T11:51:01Z
dc.date.available2026-07-07T11:51:01Z
dc.descriptionFollowing a solution generating technique introduced recently by one of us, we transform the Einstein static Universe into a two - fold infinity class of physically acceptable exact perfect fluid solutions of Einstein's equations. Whereas the entire class of solutions can be considered as generalizations of the familiar Tolman IV solution, no member of the class can be written explicitly in isotropic coordinates. Further, except for a set of measure zero, no member of the class can be written explicitly in curvature coordinates either.
dc.description6 pages, 6 figures, revtex4,improved figures. To appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0805.3329
dc.identifierhttp://arxiv.org/abs/0805.3329
dc.identifierPhys.Rev.D78:044028,2008
dc.identifierdoi:10.1103/PhysRevD.78.044028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203754
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.titleTransforming the Einstein static Universe into physically acceptable static fluid spheres II: A two - fold infinity of exact solutions
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