The stability and gravitational Newtonian limit of a modified Randall-Sundrum model

TL;DR

This paper analyzes a modified Randall-Sundrum model, deriving graviton equations, identifying a stable mass spectrum with a massless graviton and a continuum, and demonstrating a Newtonian limit with suppressed extra-dimensional effects.

Contribution

It provides a detailed derivation of graviton equations and spectrum in a modified Randall-Sundrum model, confirming stability and Newtonian limit behavior.

Findings

Stable graviton spectrum with a massless mode and a continuum

No negative mass-squared states, ensuring stability

Newtonian gravity is recovered with exponential suppression

Abstract

For a modified Randall-Sundrum model [Phys. Rev. D 88 (2013) 025048], the graviton equations are derived and the mass spectrum found. The latter includes a massless graviton and a continuum mass with a gap. There is no negative mass-squared in the spectrum, so the model is stable. The gravitational Newtonian limit is obtained with an exponentially suppressed modification from extra dimension.