Asymptotic behavior of homogeneous cosmological models in the presence of a positive cosmological constant

摘要: We examine the late-time behavior of intially expanding homogeneous cosmological models satisfying Einstein's equation with a positive constant $\ensuremath{\Lambda}$. It is shown that such all Bianchi types except IX exponentially evolve toward de Sitter solution, time scale ${(\frac{3}{\ensuremath{\Lambda}})}^{\frac{1}{2}}$. The type-IX universes similar, provided $\ensuremath{\Lambda}$ sufficiently large compared spatial-curvature terms. Thus, provides an effective means isotropizing universes.