Transforming the Einstein static Universe into physically acceptable static fluid spheres II: A two - fold infinity of exact solutions
Loading...
Date
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
Following 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.
6 pages, 6 figures, revtex4,improved figures. To appear in Phys. Rev. D
6 pages, 6 figures, revtex4,improved figures. To appear in Phys. Rev. D