4D gravity on a non-BPS bent dilatonic brane

TL;DR

This paper explores how four-dimensional gravity can be localized on a bent dilatonic brane in five dimensions, with the crossover scale influenced by the brane's cosmological constant, affecting deviations from Newtonian gravity.

Contribution

It demonstrates the impact of the cosmological constant on the localization of metastable gravity on a non-BPS bent dilatonic brane in supergravity.

Findings

Crossover scale depends on the brane's cosmological constant.

Small positive cosmological constant leads to a very large crossover scale.

Five-dimensional effects cause deviations from Newtonian gravity at large distances.

Abstract

We investigate the localization of metastable four-dimensional gravity around a bent dilatonic brane, embedded into a five-dimensional space, that exists only up to distances sufficiently small compared to a crossover scale. Far from such scale, five-dimensional effects strongly deviate the Newtonian potential. We study this effect by considering localization of massive gravity on a non-BPS bent dilatonic 3-brane solution of a five-dimensional supergravity. Our results show that the cosmological constant on the bent brane controls the size of the crossover scale. For sufficiently small positive cosmological constant, that is in accord with the present observations, the crossover scale becomes very large.