Energy-momentum and equivalence principle in non-Riemannian geometries

We introduce an energy-momentum density vector which is independent of the affine structure of the manifold and whose conservation is linked to observers. Integrating this quantity over time-like surfaces we can define Hamiltonian and momentum for the system which coincide with the corresponding ADM...

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Guardado en:
Detalles Bibliográficos
Publicado: 1997
Materias:
Conservation laws
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00017701_v29_n6_p691_Castagnino
http://hdl.handle.net/20.500.12110/paper_00017701_v29_n6_p691_Castagnino
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00017701_v29_n6_p691_Castagnino
record_format dspace
spelling paper:paper_00017701_v29_n6_p691_Castagnino2023-06-08T14:21:34Z Energy-momentum and equivalence principle in non-Riemannian geometries Conservation laws We introduce an energy-momentum density vector which is independent of the affine structure of the manifold and whose conservation is linked to observers. Integrating this quantity over time-like surfaces we can define Hamiltonian and momentum for the system which coincide with the corresponding ADM definitions for the case of irrotational Riemann-ian manifolds. As a consequence of our formalism, a Weak Equivalence Principle version for manifolds with torsion appears as the natural extension to non-Riemannian geometries from the Equivalence Principle of General Relativity. 1997 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00017701_v29_n6_p691_Castagnino http://hdl.handle.net/20.500.12110/paper_00017701_v29_n6_p691_Castagnino
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Conservation laws
spellingShingle Conservation laws
Energy-momentum and equivalence principle in non-Riemannian geometries
topic_facet Conservation laws
description We introduce an energy-momentum density vector which is independent of the affine structure of the manifold and whose conservation is linked to observers. Integrating this quantity over time-like surfaces we can define Hamiltonian and momentum for the system which coincide with the corresponding ADM definitions for the case of irrotational Riemann-ian manifolds. As a consequence of our formalism, a Weak Equivalence Principle version for manifolds with torsion appears as the natural extension to non-Riemannian geometries from the Equivalence Principle of General Relativity.
title Energy-momentum and equivalence principle in non-Riemannian geometries
title_short Energy-momentum and equivalence principle in non-Riemannian geometries
title_full Energy-momentum and equivalence principle in non-Riemannian geometries
title_fullStr Energy-momentum and equivalence principle in non-Riemannian geometries
title_full_unstemmed Energy-momentum and equivalence principle in non-Riemannian geometries
title_sort energy-momentum and equivalence principle in non-riemannian geometries
publishDate 1997
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00017701_v29_n6_p691_Castagnino
http://hdl.handle.net/20.500.12110/paper_00017701_v29_n6_p691_Castagnino
_version_ 1768543872848232448

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