Hamiltonian formulation of teleparallel gravity

The Hamiltonian formulation of the teleparallel equivalent of general relativity is developed from an ordinary second-order Lagrangian, which is written as a quadratic form of the coefficients of anholonomy of the orthonormal frames (vielbeins). We analyze the structure of eigenvalues of the multi-i...

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Autor principal: Ferraro, Rafael
Publicado: 2016
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v94_n10_p_Ferraro
http://hdl.handle.net/20.500.12110/paper_24700010_v94_n10_p_Ferraro
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_24700010_v94_n10_p_Ferraro2023-06-08T16:36:24Z Hamiltonian formulation of teleparallel gravity Ferraro, Rafael The Hamiltonian formulation of the teleparallel equivalent of general relativity is developed from an ordinary second-order Lagrangian, which is written as a quadratic form of the coefficients of anholonomy of the orthonormal frames (vielbeins). We analyze the structure of eigenvalues of the multi-index matrix entering the (linear) relation between canonical velocities and momenta to obtain the set of primary constraints. The canonical Hamiltonian is then built with the Moore-Penrose pseudoinverse of that matrix. The set of constraints, including the subsequent secondary constraints, completes a first-class algebra. This means that all of them generate gauge transformations. The gauge freedoms are basically the diffeomorphisms and the (local) Lorentz transformations of the vielbein. In particular, the Arnowitt, Deser, and Misner algebra of general relativity is recovered as a subalgebra. © 2016 American Physical Society. Fil:Ferraro, R. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v94_n10_p_Ferraro http://hdl.handle.net/20.500.12110/paper_24700010_v94_n10_p_Ferraro
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description The Hamiltonian formulation of the teleparallel equivalent of general relativity is developed from an ordinary second-order Lagrangian, which is written as a quadratic form of the coefficients of anholonomy of the orthonormal frames (vielbeins). We analyze the structure of eigenvalues of the multi-index matrix entering the (linear) relation between canonical velocities and momenta to obtain the set of primary constraints. The canonical Hamiltonian is then built with the Moore-Penrose pseudoinverse of that matrix. The set of constraints, including the subsequent secondary constraints, completes a first-class algebra. This means that all of them generate gauge transformations. The gauge freedoms are basically the diffeomorphisms and the (local) Lorentz transformations of the vielbein. In particular, the Arnowitt, Deser, and Misner algebra of general relativity is recovered as a subalgebra. © 2016 American Physical Society.
author Ferraro, Rafael
spellingShingle Ferraro, Rafael
Hamiltonian formulation of teleparallel gravity
author_facet Ferraro, Rafael
author_sort Ferraro, Rafael
title Hamiltonian formulation of teleparallel gravity
title_short Hamiltonian formulation of teleparallel gravity
title_full Hamiltonian formulation of teleparallel gravity
title_fullStr Hamiltonian formulation of teleparallel gravity
title_full_unstemmed Hamiltonian formulation of teleparallel gravity
title_sort hamiltonian formulation of teleparallel gravity
publishDate 2016
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v94_n10_p_Ferraro
http://hdl.handle.net/20.500.12110/paper_24700010_v94_n10_p_Ferraro
work_keys_str_mv AT ferrarorafael hamiltonianformulationofteleparallelgravity
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