Hamiltonian formulation of a simple theory of the teleparallel geometry

TL;DR

This paper develops a Hamiltonian formulation for a simplified teleparallel gravity theory using cotetrad fields, deriving the Hamiltonian and constraint algebra to facilitate analysis.

Contribution

It introduces a Hamiltonian approach to a simpler teleparallel gravity model, simplifying the dynamics compared to the Teleparallel Equivalent of General Relativity.

Findings

Derived the Hamiltonian for the theory.

Established the constraint algebra.

Simplified the dynamics of teleparallel gravity.

Abstract

A theory of cotetrad fields on a four-dimensional manifold is considered. Its configuration space coincides with that of the Teleparallel Equivalent of General Relativity but its dynamics is much simpler. We carry out the Legendre transformation and derive a Hamiltonian and a constraint algebra.