Canonical Structure of the Teleparallel Equivalent of General Relativity

TL;DR

This paper provides a detailed canonical analysis of teleparallel gravity and its equivalence to general relativity, identifying gauge symmetries, Poisson brackets, and degrees of freedom.

Contribution

It offers a comprehensive canonical formulation of teleparallel gravity, including gauge generators and constraint analysis, advancing understanding of its structure compared to prior work.

Findings

Identified all Poisson brackets in teleparallel gravity

Derived generators of gauge symmetries

Determined the number of degrees of freedom

Abstract

In this paper we review the canonical analysis of constrained systems and apply it in the case of teleparallel equivalent of general relativity and teleparallel gravity. For each of them we find all the Poisson brackets, generators of gauge symmetries, as well as the number of degrees of freedom.