Affine Killing vector fields on homogeneous surfaces with torsion
- 25 June 2019
- journal article
- research article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 36 (14) , 145008
Abstract
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.Keywords
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Funding Information
- Universidad Nacional de La Plata (11/X615, 11/X791, 874/18)
- AEI/FEDER (MTM2016-75897-P)
- Fulbright Association
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