Affine Killing vector fields on homogeneous surfaces with torsion

Many extensions of general relativity are based on considering metric and affine structures as independent properties of spacetime. This leads to the possibility of introducing torsion as an independent degree of freedom. In this article we examine the effects of torsion on the affine Killing vector...

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Autores principales: D'Ascanio, Daniela, Gilkey, Peter B., González Pisani, Pablo Andrés
Formato: Articulo
Lenguaje:Inglés
Publicado: 2019
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/124380
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id I19-R120-10915-124380
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Affine connection
Affine Killing vector fields
Torsion
Non-Riemannian surfaces
Modified gravity
spellingShingle Física
Affine connection
Affine Killing vector fields
Torsion
Non-Riemannian surfaces
Modified gravity
D'Ascanio, Daniela
Gilkey, Peter B.
González Pisani, Pablo Andrés
Affine Killing vector fields on homogeneous surfaces with torsion
topic_facet Física
Affine connection
Affine Killing vector fields
Torsion
Non-Riemannian surfaces
Modified gravity
description Many extensions of general relativity are based on considering metric and affine structures as independent properties of spacetime. This leads to the possibility of introducing torsion as an independent degree of freedom. In this article we examine the effects of torsion on the affine Killing vectors of two-dimensional manifolds. We give a complete description of the Lie algebras of affine Killing vector fields on homogeneous surfaces. This can be used in the search of non-metrizable surfaces of interest.
format Articulo
Articulo
author D'Ascanio, Daniela
Gilkey, Peter B.
González Pisani, Pablo Andrés
author_facet D'Ascanio, Daniela
Gilkey, Peter B.
González Pisani, Pablo Andrés
author_sort D'Ascanio, Daniela
title Affine Killing vector fields on homogeneous surfaces with torsion
title_short Affine Killing vector fields on homogeneous surfaces with torsion
title_full Affine Killing vector fields on homogeneous surfaces with torsion
title_fullStr Affine Killing vector fields on homogeneous surfaces with torsion
title_full_unstemmed Affine Killing vector fields on homogeneous surfaces with torsion
title_sort affine killing vector fields on homogeneous surfaces with torsion
publishDate 2019
url http://sedici.unlp.edu.ar/handle/10915/124380
work_keys_str_mv AT dascaniodaniela affinekillingvectorfieldsonhomogeneoussurfaceswithtorsion
AT gilkeypeterb affinekillingvectorfieldsonhomogeneoussurfaceswithtorsion
AT gonzalezpisanipabloandres affinekillingvectorfieldsonhomogeneoussurfaceswithtorsion
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