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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: D'Ascanio, Daniela, Gilkey, Peter B., González Pisani, Pablo Andrés
Formato: Articulo
Lenguaje:Inglés
Publicado: 2019
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/124380
Aporte de:
Descripción
Sumario: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.