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Asymptotic and Exact Solutions of Perfect-Fluid Scalar-Tensor Cosmologies

A. Navarro·A. Serna·J. -M. Alimi
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Abstract

We present a method which enables exact solutions to be found for at homogeneous and isotropic scalar-tensor cosmologies with an arbitrary $ω(Φ)$ function and satisfying the general perfect fluid state equation $P=(γ-1)ρc^2$. This method has been used to analyze a wide range of asymptotic analytical solutions at early and late times for different epochs in the cosmic history: false vacuum inflationary models, vacuum and radiation-dominated models, and matter-dominated models. We also describe the qualitative behavior of models at intermediary times and give exact solutions at any time for some particular scalar-tensor theories.

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A. Navarro, A. Serna, J. -M. Alimi. 1999-03-24. Asymptotic and Exact Solutions of Perfect-Fluid Scalar-Tensor Cosmologies. https://doi.org/10.1103/physrevd.59.124015

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