The class of anisotropic and inhomogeneous cosmological solutions of the Einstein field equations with a perfect fluid source obeying an equation of state p=γρ, 0<γ<eq1, which was presented by Wainwright and Goode, is extended to the case γ=-1. At about the grand-unified-theory time, $t_G$${=10\mathrm{}}^{\mathrm{-}35}$ sec, this cosmological model evolves exponentially toward the isotropic, homogeneous, and spatially flat de Sitter universe model. The expansion anisotropy decreases by a factor of ${10}^{\mathrm{-}112}$ and the curvature inhomogeneity by a factor ${10}^{\mathrm{-}224}$ during the Guth inflationary era.

• Received 14 February 1985

DOI:https://doi.org/10.1103/PhysRevD.32.1586