A nilpotent prolongation of the Robinson–Trautman equation

A prolongation is constructed, in the sense of Wahlquist and Estabrook, for the nonlinear evolution equation determining Robinson–Trautman space‐times. The Lie algebra so obtained is found to be (naturally) seven‐dimensional and nilpotent. Representations of the algebra are considered. The simple re...

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Bibliographic Details
Published in:Journal of mathematical physics 1984-12, Vol.25 (12), p.3382-3386
Main Authors: Glass, E. N., Robinson, D. C.
Format: Article
Language:English
Subjects:
Classical general relativity
Exact sciences and technology
General relativity and gravitation
Physics
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Summary:A prolongation is constructed, in the sense of Wahlquist and Estabrook, for the nonlinear evolution equation determining Robinson–Trautman space‐times. The Lie algebra so obtained is found to be (naturally) seven‐dimensional and nilpotent. Representations of the algebra are considered. The simple relationship of such a prolongation to the conservation laws associated with the Robinson–Trautman equation is discussed.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.526107