Lemaitre-Tolman-Bondi model: Solutions of the cosmological equation

摘要

The solution of the generalized Newton-like equation of the Lemaitre-Tolman-Bondi cosmological model with cosmological constant (Lambda LTB) is reconsidered. Parametric solutions, obtained by different methods, are further elaborated by means of the properties of the Weierstrass elliptic functions. This allows significant new aspects of the solutions to be emphasized. Also factorized parametric solutions are determined by applying an integration method previously considered. The scalar, Dirac and spin 1 field equations become separable in the space-time given by the factorized parametric solutions.