Perfect fluid solutions of Brans-Dicke and f(R)cosmology
Dilek K. Ciftci, Valerio Faraoni
TL;DR
This paper revisits Brans-Dicke cosmology with power-law potentials, introduces an ansatz linking scale factor and scalar field, and maps these solutions into f(R) cosmology, providing new insights into scalar-tensor models.
Contribution
It presents a simple ansatz that recovers known solutions and generates new solutions in Brans-Dicke and f(R) cosmology, with a phase space interpretation.
Findings
Recovered most known solutions using the ansatz
Generated new solutions in Brans-Dicke cosmology
Mapped solutions into f(R) cosmology
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.
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