Tensorial perturbations in the bulk of inflating brane worlds

TL;DR

This paper investigates the stability of inflating brane-world models in quantum cosmology, finding that nonsingular models with asymptotically anti-de Sitter wormholes are stable, unlike singular models based on Euclidean anti-de Sitter space.

Contribution

It demonstrates the stability differences between singular and nonsingular inflating brane-world models under tensorial perturbations.

Findings

Singular models are unstable to tensorial perturbations.

Nonsingular models with asymptotic AdS wormholes are stable.

Stability depends on the geometric construction of the branes.

Abstract

In this paper we consider the stability of some inflating brane-world models in quantum cosmology. It is shown that whereas the singular model based on the construction of inflating branes from Euclidean five-dimensional anti-de Sitter space is unstable to tensorial cosmological perturbations in the bulk, the nonsingular model which uses a five-dimensional asymptotically anti-de Sitter wormhole to construct the inflating branes is stable to these perturbations.