Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1998-10-02
Grav.Cosmol. 4 (1997) 312-316
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
5 pages, LaTex
Scientific paper
An effective chiral model of a plane-symmetric gravitational field is considered. Isometries of the target space of the model are described and exact solutions corresponding to the isometric ansatz method are obtained. New exact solutions are found using the method of functional parameters. The solutions obtained are B\"acklund transforms of solutions of the d'Alembert equation to those of the Einstein equations.
Chervon Serguey V.
Shabalkin Dmitriy Yu.
Zhuravlev Victor M.
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