# 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.

## Key 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.

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Source: https://tomesphere.com/paper/2509.00191