Newtonian gravity and resonance on de-Sitter branes

TL;DR

This paper investigates gravitational resonances on de-Sitter branes within five-dimensional spacetimes, revealing conditions under which four-dimensional gravity is recovered or deviations from Newtonian gravity are suppressed.

Contribution

It introduces a model with asymmetric AdS${}_5$ vacua around a de-Sitter brane and identifies a resonant mode affecting gravitational behavior.

Findings

Resonant gravitational modes are found in asymmetric scenarios.

Large cosmological constants suppress the resonant mode's contribution.

Null vacua allow five-dimensional gravity to be recovered on the brane.

Abstract

A dS brane on the boundary between two five-dimensional spacetimes is determined. We consider asymmetric scenarios with AdS${}_5$ vacua at each side of the dS brane; and as a result, a resonant mode inside of the spectrum of the gravitational fluctuations is found. We analyze the deviations to the Newton potential generated by the gravitational excitations, finding that, for scenarios with large values of the cosmological constants, the contribution of the resonant mode is exponentially suppressed. However, when one of the vacua is null, the resonant mode belongs to the light states set of the gravitational fluctuations and five-dimensional gravity is recovered on the dS brane.