General Behaviour of Bianchi VI0 Solutions with an Exponential-Potential Scalar Field

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Abstract

The solutions to the Einstein-Klein-Gordon equations without a cosmological constant are investigated for an exponential potential in a Bianchi VI0 metric. There exists a two-parameter family of solutions which have a power-law inflationary behaviour when the exponent of the potential, k, satisfies k2 < 2. In addition, there exists a two-parameter family of singular solutions for all k2 values. A simple anisotropic exact solution is found to be stable when 2 < k2.

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