Gauged motion in general relativity and in Kaluza-Klein theories

Details Gauged motion in general relativity and in Kaluza-Klein theories Gauged motion in general relativity and in Kaluza-Klein theories

2002-12-29

arxiv.org/abs/hep-th/0212325v3

JHEP 0302 (2003) 059

Physics

High Energy Physics

High Energy Physics - Theory

42 pages, revised version, typos correction along with some minor changes, Revtex format

Scientific paper

10.1088/1126-6708/2003/02/059

In a recent paper [1] a new generalization of the Killing motion, the {\it gauged motion}, has been introduced for stationary spacetimes where it was shown that the physical symmetries of such spacetimes are well described through this new symmetry. In this article after a more detailed study in the stationary case we present the definition of gauged motion for general spacetimes. The definition is based on the gauged Lie derivative induced by a threading family of observers and the relevant reparametrization invariance. We also extend the gauged motion to the case of Kaluza-Klein theories.

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