Isotropization of scalar field Bianchi type-IX models with an exponential potential

Physics

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We investigate the isotropization of the Bianchi type-IX models with an exponential potential of the form V(φ)=Λekφ. If the parameter k<2 then there exists a set of ever-expanding anisotropic Bianchi type-IX models that isotropize and inflate towards an expanding power-law inflationary solution. If k>2 then initially expanding Bianchi type-IX models do not isotropize towards an ever-expanding isotropic model.

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