On a general vacuum solution of fourth-order gravity

Details On a general vacuum solution of fourth-order gravity On a general vacuum solution of fourth-order gravity

May 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cqgra...4..695s&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 4, May 1, 1987, p. 695-702.

Mathematics

Logic

76

Asymptotic Methods, Cosmology, Degrees Of Freedom, Gravitational Effects, Vacuum, Einstein Equations, Orthogonality, Tensors

Scientific paper

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.

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