Angular momentum in the teleparallel equivalent of general relativity

TL;DR

This paper explores how teleparallel gravity offers a different approach to gravitational energy and angular momentum, addressing interpretational issues and analyzing the vanishing of angular momentum in specific gauges.

Contribution

It clarifies the interpretation of angular momentum in teleparallel gravity and examines its properties, especially in the context of the time gauge.

Findings

The 3-angular momentum vanishes in the time gauge.

General properties of angular momentum in teleparallelism are established.

The interpretation of gravitational angular momentum differs from other theories.

Abstract

In teleparallelism one is able to tackle the gravitational energy and angular momentum problems in a way that distinguishes this theory from other theories of gravity, such as general relativity. However, unlike the $4$-momentum, the quantity that is usually identified with a type of angular momentum does not have a clear interpretation. This problem is discussed, in particular the vanishing of the $3$-angular momentum in the time gauge, and some general properties are obtained.