Phys. Rev. D 67, 104015 (2003) [4 pages]All static spherically symmetric perfect-fluid solutions of Einstein’s equationsReceived 6 October 2002; published 21 May 2003 An algorithm based on the choice of a single monotone function (subject to boundary conditions) is presented which generates all regular static spherically symmetric perfect-fluid solutions of Einstein’s equations. For physically relevant solutions the generating functions must be restricted by nontrivial integral-differential inequalities. Nonetheless, the algorithm is demonstrated here by the construction of an infinite number of previously unknown physically interesting exact solutions. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.67.104015
DOI:
10.1103/PhysRevD.67.104015
PACS:
04.20.Jb, 04.20.Cv, 04.40.Dg
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