Towards a no hair theorem for higher order gravity

Details Towards a no hair theorem for higher order gravity Towards a no hair theorem for higher order gravity

1995-03-13

arxiv.org/abs/gr-qc/9503021v1

Astron.Nachr. 317 (1996) 337-348

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

35 pages, latex, no figures, e-mail hjschmi@rz.uni-potsdam.de, kluske@rz.uni-potsdam.de revised version March 1995, subm. to C

Scientific paper

We use gravitational Lagrangians $R \Box \sp k R \sqrt{-g}$ and linear combinations of them; we ask under which circumstances the de Sitter space-time represents an attractor solution in the set of spatially flat Friedman models. Results are: For arbitrary $k$, i.e., for arbitrarily large order of the field equation, on can always find examples where the attractor property takes place. Such examples necessarily need a non-vanishing $R\sp 2$-term. The main formulas do not depend on the dimension, so one gets similar results also for 1+1-dimensional gravity and for Kaluza-Klein cosmology.

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