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Perfect fluid solutions of Brans-Dicke and f(R)cosmology

arXiv:1711.04026 · doi:10.1016/j.aop.2018.02.002

Abstract

Brans-Dicke cosmology with an (inverse) power-law potential is revisited in the light of modern quintessence and inflation models. A simple ansatz relating scale factor and scalar field recovers most of the known solutions and generates new ones. A phase space interpretation of the ansatz is provided and these universes are mapped into solutions of f(R) cosmology.

Appendix added for completeness, explanation added in the text, bibliography expanded, figures upgraded for better resolution. Matches version accepted in Annals of Physics