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On Ellis' programme within fourth order gravity

H. -J. Schmidt
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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.

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H. -J. Schmidt. 2001-06-11. On Ellis' programme within fourth order gravity. https://arxiv.org/abs/gr-qc/0106036

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