Bulk effects in the cosmological dynamics of brane-world scenarios

TL;DR

This paper investigates how the five-dimensional Weyl tensor influences the cosmological evolution in brane-world models, revealing differences from standard general relativity and previous Randall-Sundrum scenarios without Weyl effects.

Contribution

It analyzes the impact of the bulk Weyl tensor on the dynamics of FLRW and Bianchi I models using dynamical systems methods, highlighting novel effects absent in earlier models.

Findings

Weyl tensor alters the stability of cosmological solutions

New dynamical behaviors emerge due to bulk effects

Differences from standard GR and previous brane-world models are identified

Abstract

In this paper we deal with the cosmological dynamics of Randall-Sundrum brane-world type scenarios in which the five-dimensional Weyl tensor has a non-vanishing projection onto the three-brane where matter fields are confined. Using dynamical systems techniques, we study how the state space of Friedmann-Lemaitre-Robertson-Walker (FLRW) and Bianchi type I cosmological models is affected by the bulk Weyl tensor, focusing in the differences that appear with respect to general relativity and also Randall-Sundrum cosmological scenarios without the Weyl tensor contribution.