Brane worlds in critical gravity

TL;DR

This paper constructs analytic brane solutions within five-dimensional critical gravity theories, analyzing their stability, junction conditions, and matter embedding, with implications for brane-world models in anti-de Sitter space.

Contribution

It provides new analytic solutions for branes in critical gravity, including stability analysis and matter embedding in five-dimensional anti-de Sitter spacetime.

Findings

Brane solutions are stable against scalar perturbations.

Zero modes of scalar perturbations are not localized on the branes.

Both thin and thick brane solutions are obtained in critical gravity.

Abstract

Recently, Lu and Pope proposed critical gravities in [Phys. Rev. Lett. 106, 181302 (2011)]. In this paper we construct analytic brane solutions in critical gravity with matter. The Gibbons-Hawking surface term and junction condition are investigated, and the thin and thick brane solutions are obtained. All these branes are embedded in five-dimensional anti-de Sitter spacetimes. Our solutions are stable against scalar perturbations, and the zero modes of scalar perturbations cannot be localized on the branes.