Bianchi Type I Cosmologies in Arbitrary Dimensional Dilaton Gravities

Abstract

We study the low energy string effective action with an exponential type dilaton potential and vanishing torsion in a Bianchi type I space-time geometry. In the Einstein and string frames the general solution of the gravitational field equations can be expressed in an exact parametric form. Depending on the values of some parameters the obtained cosmological models can be generically divided into three classes, leading to both singular and nonsingular behaviors. The effect of the potential on the time evolution of the mean anisotropy parameter is also considered in detail, and it is shown that a Bianchi type I Universe isotropizes only in the presence of a dilaton field potential or a central deficit charge.

REVTEX, 10 pages, 8 figures

References in corpus (4)

• Superstring Cosmology
• Dynamical Systems in Cosmology
• On dilaton solutions of de Sitter inflation and primordial spin-torsion density fluctuations
• Elementary introduction to pre-big bang cosmology and to the relic graviton background

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