Exponential-Potential Scalar Field Universes I: The Bianchi I Models

Abstract

We obtain a general exact solution of the Einstein field equations for the anisotropic Bianchi type I universes filled with an exponential-potential scalar field and study their dynamics. It is shown, in agreement with previous studies, that for a wide range of initial conditions the late-time behaviour of the models is that of a power-law inflating FRW universe. This property, does not hold, in contrast, when some degree of inhomogeneity is introduced, as discussed in our following paper II.

16 pages, Plain LaTeX, 1 Figure to be sent on request, to appear in Phys. Rev. D

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