Quasilocalized gravity without asymptotic flatness

TL;DR

This paper introduces a five-dimensional warped geometry model where the 4D graviton is only partially localized, leading to a gravitational potential that transitions from 1/r to a different power law at large scales, challenging the assumption of asymptotic flatness.

Contribution

The study presents a toy model demonstrating quasilocalized gravity without requiring asymptotic flatness, showing modified gravitational potential behavior at large distances.

Findings

Gravitational potential behaves as 1/r at intermediate scales.

At large scales, the potential becomes 1/r^{1+alpha} with 0<alpha<=1.

The model applies to other massless particles, not just gravitons.

Abstract

We present a toy model of a generic five-dimensional warped geometry in which the 4D graviton is not fully localized on the brane. Studying the tensor sector of metric perturbation around this background, we find that its contribution to the effective gravitational potential is of 4D type (1/r) at the intermediate scales and that at the large scales it becomes 1/r^{1+alpha}, 0<alpha=< 1 being a function of the parameters of the model (alpha=1 corresponds to the asymptotically flat geometry). Large-distance behavior of the potential is therefore not necessarily five-dimensional. Our analysis applies also to the case of quasilocalized massless particles other than graviton.