On Ellis' programme within fourth order gravity

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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.