On Ellis' programme within fourth order gravity | Zendy

Schmidt H.J. | Zendy

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On Ellis' programme within fourth order gravity

Author(s) -

Schmidt H.J.

Publication year - 1988

Publication title -

astronomische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.394

H-Index - 63

eISSN - 1521-3994

pISSN - 0004-6337

DOI - 10.1002/asna.2113090431

Subject(s) - physics , scalar curvature , curvature , mathematical physics , einstein , conformal map , scalar field , de sitter universe , action (physics) , equivalence (formal languages) , infinity , f(r) gravity , theoretical physics , geometry , mathematical analysis , mathematics , universe , quantum mechanics , quantum gravity , pure mathematics , quantum

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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