On Ellis' programme within fourth order gravity

Preprint

11 June 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/0106036

Abstract

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.

Keywords

CURVATURE SQUARED
SQUARED ACTION
ORDER GRAVITY
FOURTH ORDER
SCALAR FIELD
OSCILLATION
TACHYONIC
MODEL
ELLIS

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Version 1, 2001-06-11, ArXiv

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