The Weierstrass Criterion and the Lemaitre-Tolman-Bondi Models with Cosmological Constant \lambda

Abstract

We analyze Lemaitre-Tolman-Bondi models in presence of the cosmological constant \Lambda through the classical Weierstrass criterion. Precisely, we show that the Weierstrass approach allows us to classify the dynamics of these inhomogeneous spherically symmetric Universes taking into account their relationship with the sign of \Lambda.