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

Mathematics – Logic

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Scientific paper

We investigate the isotropization of the Bianchi type-VIIh cosmological models possessing a scalar field with an exponential potential of the form V(φ)=Λekφ. In the case k2>2, we show that there is an open set of initial conditions in the set of anisotropic Bianchi type-VIIh initial data such that the corresponding cosmological models isotropize asymptotically. Hence scalar field spatially homogeneous cosmological models having an exponential potential with k2>2 can isotropize to the future.

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