Kantowski–Sachs cosmological models as big-bang models

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Abstract
In the presence of a nonzero cosmological constant Λ, we classify the anisotropic cosmological models of the Kantowski–Sachs type by means of the quantities ε20, q0, ∑0 corresponding, respectively, to the relative root‐mean‐square deviation from isotropy, the deceleration parameter, and the density parameter of the perfect fluid at a given time t=t0. We obtain for Λ>0 a set of big‐bang models of zero measure as well as a set of cosmological models of nonzero measure evolving toward the de Sitter solution.

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