Gowdy S1(X)S2and S3inhomogeneous cosmological models

Abstract
The ADM-type Hamiltonian formulation of Gowdy (1971, 1974, 1975) S1(X)S2 and S3 vacuum inhomogeneous cosmological models is given. The canonical and constraint equations are explicitly solved and the asymptotic behaviour of the most general solution in the neighbourhood of the initial and final inhomogeneous scalar singularities is shown to be of the generalised Kasner type.