Hamiltonian formulation of a simple theory of the teleparallel geometry

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.

33 pages, LaTeX 2e, some minor corrections

References in corpus (2)

• Hamiltonian formulation of unimodular gravity in the teleparallel geometry
• A Maxwell Like Formulation of Gravitational Theory in Minkowski Spacetime

Cited by in corpus (14)

• Teleparallel Gravity: From Theory to Cosmology
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• Review of the Hamiltonian analysis in teleparallel gravity
• Non-Linear Obstructions for Consistent New General Relativity
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• ADM-like Hamiltonian formulation of gravity in the teleparallel geometry
• ADM-like Hamiltonian formulation of gravity in the teleparallel geometry: derivation of constraint algebra
• Variables suitable for constructing quantum states for the Teleparallel Equivalent of General Relativity II
• A modification of the projective construction of quantum states for field theories
• Teleparallel bigravity
• Hamiltonian of new general relativity using differential forms
• Noether's second theorem in teleparallel gravity
• Canonical aspects of pregeometric vector-based first order gauge theory
• Constraints of the Teleparallel Equivalent of General Relativity in a gauge