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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… Click to show full 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:
torsion;
fields homogeneous;
affine killing;
vector fields;
homogeneous surfaces;
killing vector
Journal Title: Classical and Quantum Gravity
Year Published: 2019
Link to full text (if available)
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Journal Title: Classical and Quantum Gravity
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!