Consistent Linearized Gravity in Brane Backgrounds

TL;DR

This paper develops a consistent framework for linearized gravity in brane-world models, emphasizing a new gauge that maintains a straight brane and clarifies the physical degrees of freedom, highlighting the need for matter confinement.

Contribution

It introduces a novel gauge for linearized gravity in brane backgrounds, ensuring a consistent treatment and revealing the importance of matter confinement mechanisms.

Findings

A new gauge keeps the brane straight in linearized gravity.

Identification of physical degrees of freedom in the model.

Emphasizes the necessity for matter confinement to the brane.

Abstract

A globally consistent treatment of linearized gravity in the Randall-Sundrum background with matter on the brane is formulated. Using a novel gauge, in which the transverse components of the metric are non-vanishing, the brane is kept straight. We analyze the gauge symmetries and identify the physical degrees of freedom of gravity. Our results underline the necessity for non-gravitational confinement of matter to the brane.