The Existence of Godel, Einstein and de Sitter Universes

Abstract

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.

8 pages, no figures

References in corpus (4)

• The Cosmology of Generalized Modified Gravity Models
• The Power of General Relativity
• Cosmological dynamics of R^n gravity
• On the initial value problem for second order scalar fluctuations in Einstein static

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