The existence of Godel, Einstein, and de Sitter universes

被引:108
作者
Clifton, T [1 ]
Barrow, JD [1 ]
机构
[1] Univ Cambridge, Ctr Math Sci, DAMTP, Cambridge CB3 0WA, England
关键词
D O I
10.1103/PhysRevD.72.123003
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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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页数:6
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