Smooth thick braneworlds and the Gibbons-Kallosh-Linde no-go theorem

TL;DR

This paper extends the braneworld sum rules formalism to include Gauss-Bonnet terms, proposing a method to generate thick branes with periodic extra dimensions that bypass the Gibbons-Kallosh-Linde no-go theorem.

Contribution

It introduces a generalized sum rules approach incorporating Gauss-Bonnet terms, enabling thick brane solutions with periodic extra dimensions.

Findings

Thick branes can be generated with periodic extra dimensions.

The Gibbons-Kallosh-Linde no-go theorem can be circumvented.

Gauss-Bonnet terms play a crucial role in this construction.

Abstract

After working out the so called braneworld sum rules formalism in order to encompass Gauss-Bonnet terms, the generation of thick branes is proposed, even with a periodic extra dimension, what circumvents the Gibbons-Kallosh-Linde no-go theorem in this context.