Gravity and the Newtonian limit in the Randall-Sundrum model

TL;DR

This paper revises the gravitational equations in the Randall-Sundrum model, revealing a new form that ensures a correct Newtonian limit, thereby clarifying the model's gravitational behavior.

Contribution

It identifies a previously overlooked form of the gravitational evolution equations leading to a proper Newtonian limit in the Randall-Sundrum model.

Findings

Correct Newtonian limit achieved in the model

New form of gravitational evolution equations

Clarification of gravitational behavior in the model

Abstract

We point out that the gravitational evolution equations in the Randall-Sundrum model appear in a different form than hitherto assumed. As a consequence, the model yields a correct Newtonian limit in a novel manner.