Hamiltonian formulation of a simple theory of the teleparallel geometry

2011/11/30 by Andrzej Okolow, Andrzej Okołów, Jędrzej Świeżewski +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Covariant Hamiltonian field theory #Differential geometry #General relativity #Hamiltonian (control theory) #Hamiltonian mechanics #Hamiltonian system #Homotopy and Cohomology in Algebraic Topology #Manifold (fluid mechanics) #Nonlinear Waves and Solitons #Space (punctuation) #gr-qc #math-ph #math.MP

paper · pdf · doi:10.1088/0264-9381/29/4/045008

published as Class. Quantum Grav. 29 (2012) 045008 · 33 pages, LaTeX 2e, some minor corrections

openalex publication_date 2012/02/02 · openalex created_date 2019/06/27 · arxiv created 2022/02/15 · arxiv updated 2022/02/16 · openalex updated_date 2026/08/06

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.

Citations

• Spin foam models for quantum gravity
• CONSERVED CURRENT FOR GENERAL TELEPARALLEL MODELS

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• A modification of the projective construction of quantum states for field theories