The Existence of Godel, Einstein and de Sitter Universes
General Relativity and Quantum Cosmology
2009-11-11 v3 Astrophysics
High Energy Physics - Phenomenology
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.
Keywords
Cite
@article{arxiv.gr-qc/0511076,
title = {The Existence of Godel, Einstein and de Sitter Universes},
author = {T. Clifton and John D. Barrow},
journal= {arXiv preprint arXiv:gr-qc/0511076},
year = {2009}
}
Comments
8 pages, no figures