On Ellis' programme within fourth order gravity

Details On Ellis' programme within fourth order gravity On Ellis' programme within fourth order gravity

2001-06-11

arxiv.org/abs/gr-qc/0106036v1

Astron.Nachr. 309 (1988) 307

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, LaTeX, no figure

Scientific paper

For the non-tachyonic curvature squared action we show that the expanding Bianchi-type I models tend to the dust-filled Einstein-de Sitter model for t tending to infinity if the metric is averaged over the typical oscillation period. Applying a conformal equivalence between curvature squared action and a minimally coupled scalar field (which holds for all dimensions > 2) the problem is solved by discussing a massive scalar field in an anisotropic cosmological model.

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