General behaviour of Bianchi VI0 solutions with an exponential-potential scalar field
Luis P. Chimento, Pablo Labraga
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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