4D gravity on a brane from bulk higher-curvature terms

TL;DR

This paper demonstrates that including higher-curvature Gauss-Bonnet terms in the bulk enables classical 4D gravity on a brane with infinite transverse length, despite requiring negative tension and coupling.

Contribution

It shows that higher-curvature bulk terms induce 4D gravity on a brane at the classical level, revealing new consistency conditions involving negative tension and couplings.

Findings

4D gravity is induced on the brane with higher-curvature terms

Negative brane tension is required for consistency

Negative coupling for higher-curvature terms is necessary

Abstract

We study a gravity model where a tensionful codimension-one three-brane is embedded on a bulk with infinite transverse length. We find that 4D gravity is induced on the brane already at the classical level if we include higher-curvature (Gauss-Bonnet) terms in the bulk. Consistency conditions appear to require a negative brane tension as well as a negative coupling for the higher-curvature terms.