Symmetries of the Robinson-Trautman equation

Details Symmetries of the Robinson-Trautman equation Symmetries of the Robinson-Trautman equation

2006-06-02

arxiv.org/abs/gr-qc/0606013v2

J.Math.Phys.47:102504,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, latex2e, 4 tables, several references added

Scientific paper

10.1063/1.2359139

We study point symmetries of the Robinson--Trautman equation. The cases of
one- and two-dimensional algebras of infinitesimal symmetries are discussed in
detail. The corresponding symmetry reductions of the equation are given. Higher
dimensional symmetries are shortly discussed. It turns out that all known exact
solutions of the Robinson--Trautman equation are symmetric.

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