Angular Momentum Conservation Law for Randall-Sundrum Models

TL;DR

This paper derives a covariant angular momentum conservation law for Randall-Sundrum models using Noether's theorem, revealing that certain angular momentum components are zero or infinite.

Contribution

It introduces a covariant angular momentum conservation law specific to Randall-Sundrum models, highlighting the properties of angular momentum components.

Findings

Space-like angular momentum components are zero.

The $J_{04}$ component is infinite.

The angular momentum current has a superpotential and is conserved.

Abstract

In Randall-Sundrum models, by the use of general Noether theorem, the covariant angular momentum conservation law is obtained with the respect to the local Lorentz transformations. The angular momentum current has also superpotential and is therefore identically conserved. The space-like components $J_{ij}$ of the angular momentum for Randall-Sundrum models are zero. But the component $J_{04}$ is infinite.