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• W3098366957 abstract "We study continuous groups of generalized Kerr-Schild transformations and the vector fields that generate them in any n-dimensional manifold with a Lorentzian metric. We prove that all these vector fields can be intrinsically characterized and that they constitute a Lie algebra if the null deformation direction is fixed. The properties of these Lie algebras are briefly analyzed and we show that they are generically finite-dimensional but that they may have infinite dimension in some relevant situations. The most general vector fields of the above type are explicitly constructed for the following cases: any two-dimensional metric, the general spherically symmetric metric and deformation direction, and the flat metric with parallel or cylindrical deformation directions." @default.
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• W3098366957 date "2001-04-01" @default.
• W3098366957 modified "2023-10-09" @default.
• W3098366957 title "Kerr–Schild Symmetries" @default.
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• W3098366957 doi "https://doi.org/10.1023/a:1010265830882" @default.
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