On a general vacuum solution of fourth-order gravity
Abstract
A result derived for the Einstein theory with the cosmological term (the general asymptotic solution containing four arbitrary functions of three coordinates) is generalized to fourth-order gravity. For scale-invariant fourth-order gravity the expanding generalized de Sitter solution is found to be an attractor, i.e., for t approaching infinity an open neighborhood of solutions approach this one. For (R + R2) gravity, an intermediate de Sitter stage with a high probability is obtained, followed by a power-law Friedmann stage. Finally, it is argued that the inclusion of ordinary inhomogeneously distributed matter does not alter these results.
- Publication:
-
Classical and Quantum Gravity
- Pub Date:
- May 1987
- DOI:
- 10.1088/0264-9381/4/3/026
- Bibcode:
- 1987CQGra...4..695S
- Keywords:
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- Asymptotic Methods;
- Cosmology;
- Degrees Of Freedom;
- Gravitational Effects;
- Vacuum;
- Einstein Equations;
- Orthogonality;
- Tensors;
- Astrophysics