The Existence of Godel, Einstein and de Sitter Universes

Details The Existence of Godel, Einstein and de Sitter Universes The Existence of Godel, Einstein and de Sitter Universes

2005-11-14

arxiv.org/abs/gr-qc/0511076v3

Phys.Rev. D72 (2005) 123003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, no figures

Scientific paper

10.1103/PhysRevD.72.123003

We determine the general conditions for the existence of Godel, 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 Godel universes.

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