Phys. Rev. D 72, 123003 (2005) [6 pages]The existence of Gödel, Einstein, and de Sitter universesReceived 14 November 2005; published 15 December 2005 We determine the general conditions for the existence of Gödel, Einstein static, and de Sitter universes in gravity theories derived from a Lagrangian that is an arbitrary function of the scalar curvature and Ricci and Riemann curvature invariants. Explicit expressions for the solutions are found in terms of the parameters defining the Lagrangian. We also determine the conditions on the Lagrangian of the theory under which time-travel is allowed in the Gödel universes. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.72.123003
DOI:
10.1103/PhysRevD.72.123003
PACS:
95.30.Sf, 98.80.Jk
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