Rj. Vandenhoogen et al., ISOTROPIZATION OF SCALAR FIELD BIANCHI TYPE-VIIH MODELS WITH AN EXPONENTIAL POTENTIAL, Physical review. D. Particles and fields, 55(8), 1997, pp. 5215-5218
We investigate the isotropization of the Bianchi type-VIIh cosmologica
l models possessing a scalar field with an exponential potential of th
e form V(phi)=Lambda e(k phi). In the case k(2)>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 model
s isotropize asymptotically. Hence scalar field spatially homogeneous
cosmological models having an exponential potential with k(2)>2 can is
otropize to the future.