Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-08-26
Phys.Rev.D78:127501,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
4 pages revtex4, two figures, Final form to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.78.127501
We generate an explicit four-fold infinity of physically acceptable exact perfect fluid solutions of Einstein's equations by way of conformal transformations of physically unacceptable solutions (one way to view the use of isotropic coordinates). Special cases include the Schwarzschild interior solution and the Einstein static universe. The process we consider involves solving two equations of the Riccati type coupled by a single generating function rather than a specification of one of the two metric functions.
Lake Kayll
Loranger Jonathan
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