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

TL;DR

This paper applies the Weierstrass criterion to classify the dynamics of Lemaitre-Tolman-Bondi cosmological models with a cosmological constant, revealing how mbda influences their behavior.

Contribution

It introduces a novel application of the Weierstrass approach to analyze inhomogeneous spherically symmetric universes with mbda.

Findings

Classifies the dynamics of LTB models based on mbda sign

Provides a systematic framework for understanding inhomogeneous cosmologies

Links the sign of mbda to the evolution of the models

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.