On a general vacuum solution of fourthorder 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 fourthorder gravity. For scaleinvariant fourthorder 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 powerlaw 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:
 10.1088/02649381/4/3/026
 Bibcode:
 1987CQGra...4..695S
 Keywords:

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