Hamiltonian structure of the teleparallel formulation of GR

TL;DR

This paper analyzes the Hamiltonian structure of teleparallel gravity, revealing its constraint algebra and gauge symmetries, thus clarifying its canonical formulation without gauge fixing.

Contribution

It provides a detailed Hamiltonian analysis of teleparallel gravity, identifying constraints and gauge symmetries without gauge fixing, which was not previously established.

Findings

Hamiltonian has generalized Dirac-ADM form

Constraints satisfy all consistency requirements

Extra first class constraints reveal additional gauge symmetries

Abstract

We apply Dirac's Hamiltonian approach to study the canonical structure of the teleparallel form of general relativity without matter fields. It is shown, without any gauge fixing, that the Hamiltonian has the generalized Dirac-ADM form, and constraints satisfy all the consistency requirements. The set of constraints involves some extra first class constraints, which are used to find additional gauge symmetries and clarify the gauge structure of the theory.