Domain-Walls in Einstein-Gauss-Bonnet Bulk

TL;DR

This paper studies the behavior of domain walls in a higher-dimensional Einstein-Gauss-Bonnet gravity setting, deriving effective potentials and revealing new bounce phenomena due to the Gauss-Bonnet correction.

Contribution

It provides an exact effective potential for domain walls in Einstein-Gauss-Bonnet gravity and uncovers a minimum bounce radius in the cosmological evolution.

Findings

Effective potential derived for domain walls with Gauss-Bonnet term

Recovery of known potentials without Gauss-Bonnet correction

Identification of a minimum bounce radius in the FRW universe

Abstract

We investigate the dynamics of a d-dimensional domain wall (DW) in a d+1-dimensional Einstein-Gauss-Bonnet (EGB) bulk. Exact effective potential induced by the Gauss-Bonnet (GB) term on the wall is derived. In the absence of the GB term we recover the familiar gravitational and anti-harmonic oscillator potentials. Inclusion of the GB correction gives rise to a minimum radius of bounce for the Friedmann-Robertson-Walker (FRW) universe expanding with a negative pressure on the DW.