Isotropization of scalar field Bianchi type-VIIhmodels with an exponential potential

Abstract
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.