# Braneworlds in Einstein-Scalar-Gauss-Bonnet gravity

## TL;DR

This paper investigates thick braneworld models in five-dimensional Einstein-Scalar-Gauss-Bonnet gravity, demonstrating that scalar-GB coupling yields stable, warped asymptotically AdS spacetimes with localized gravity and dynamically generated bulk cosmological constant.

## Contribution

It introduces new thick brane solutions with scalar-GB coupling that produce stable, localized gravity and a dynamically generated bulk cosmological constant in a five-dimensional setting.

## Key findings

- Localized massless graviton mode confirmed
- Stable perturbative tensor modes identified
- Scalar-GB coupling induces warped AdS geometry

## Abstract

We explore the features of a thick braneworld model in five dimensions governed by a Einstein-Gauss-Bonnet gravity with a non-minimal coupling to a dynamical scalar field. We consider two possible scalar-GB coupling function $\chi(\phi)$, one parity-even and another parity-odd function of the scalar field $\phi$. For both choices, the scalar-Gauss-Bonnet non-minimal coupling produces a warped asymptotically $AdS_5$ spacetime even in the absence of a bulk cosmological constant. Outside the brane core, a negative cosmological constant is bounded by the scalar-GB coupling function. For a thick 3-brane configuration, we found solutions with localized brane energy density and pressure that dynamically produce a bulk cosmological constant. The corresponding scalar field solutions exhibit a non-topological (domain wall) behavior. In order to probe the 3-brane stability solution, we employed a perturbative analysis, by perturbing the thick brane solutions up to first-order. The Kaluza-Klein (KK) tensorial gravitational modes possess a localized massless mode and a tower of non-tachyonic diverging massive modes, what renders the solutions stable at least at the perturbative level.