Bouncing cosmological solutions and their stability

TL;DR

This paper investigates bouncing cosmological solutions within a braneworld model featuring a five-dimensional charged AdS black hole bulk, analyzing their stability under homogeneous and isotropic perturbations to understand their dynamical behavior.

Contribution

It introduces a specific braneworld scenario with a charged AdS black hole bulk and analyzes the stability of bouncing solutions, highlighting the attractor and repeller nature of particular black hole configurations.

Findings

Uncharged AdS black hole with open horizon acts as an attractor.

Charged AdS black hole with flat horizon functions as a repeller.

Stability depends on black hole charge and horizon topology.

Abstract

In the present paper we consider the bouncing braneworld scenario, in which the bulk is given by a five-dimensional charged AdS black hole spacetime with matter field confined in a $D_3$ brane. Then, we study the stability of solutions with respect to homogeneous and isotropic perturbations. Specifically, the AdS black hole with zero ADM mass and charge, and open horizon is an attractor, while the charged AdS black hole with zero ADM mass and flat horizon, is a repeller.