The existence of Gödel, Einstein, and de Sitter universes

2005/11/30 by Timothy Clifton, T. Clifton, John D. Barrow · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #astro-ph #gr-qc #hep-ph

paper · pdf · doi:10.1103/physrevd.72.123003

published as Phys.Rev. D72 (2005) 123003 · 8 pages, no figures

openalex publication_date 2005/12/15 · arxiv created 2006/02/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine the general conditions for the existence of G"odel, 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 G"odel universes.

Citations

• Homogeneity of Riemannian space-times of Gödel type
• Renormalization of higher-derivative quantum gravity
• Inflation and the conformal structure of higher-order gravity theories

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