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

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

1999-03-24

arxiv.org/abs/astro-ph/9903368v1

Phys.Rev. D59 (1999) 124015

Astronomy and Astrophysics

Astrophysics

45 Pages, 8 Figures, accepted for publication in Phys Rev D

Scientific paper

10.1103/PhysRevD.59.124015

We present a method which enables exact solutions to be found for at homogeneous and isotropic scalar-tensor cosmologies with an arbitrary $\omega(\Phi)$ function and satisfying the general perfect fluid state equation $P=(\gamma-1)\rho c^2$. 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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