Open AccessGauged motion in general relativity and in Kaluza-Klein theories
Author(s) -
M. Nouri-Zonoz,
Ali Reza Tavanfar
Publication year - 2003
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2003/02/059
Subject(s) - motion (physics) , homogeneous space , physics , generalization , kaluza–klein theory , symmetry (geometry) , lie derivative , general relativity , classical mechanics , theoretical physics , mathematical physics , mathematics , lie algebra , mathematical analysis , geometry , quantum mechanics , adjoint representation of a lie algebra , weight
In a recent paper [1] a new generalization of the Killing motion, the {\itgauged motion}, has been introduced for stationary spacetimes where it wasshown that the physical symmetries of such spacetimes are well describedthrough this new symmetry. In this article after a more detailed study in thestationary case we present the definition of gauged motion for generalspacetimes. The definition is based on the gauged Lie derivative induced by athreading family of observers and the relevant reparametrization invariance. Wealso extend the gauged motion to the case of Kaluza-Klein theories.Comment: 42 pages, revised version, typos correction along with some minor changes, Revtex forma
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