New exact solutions in a chiral model for a planar-symmetry gravitational field
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New exact solutions are derived to the dynamic equations for an effective nonlinear sigma model NSM for a vacuum planar-symmetry gravitational field by the use of a functional-parameter method. The solutions are Backlund transformations of solutions to D'Alembert's and Einstein's equations.
KeywordsExact Solution Gravitational Field Effective Field Theory Chiral Model Einstein Vacuum Equation
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- 2.S. V. Chervon and A. G. Muslimov, “The plane-symmetric gravitational field as a fourcomponent non-linear σ model”, IIPT, No. 1347, Leningrad (1989).Google Scholar
- 3.S. V. Chervon, Nonlinear Fields in the Theory of Gravitation and Cosmology [in Russian], Izd. Srednevolzhskogo Nauchnogo Tsentra, Ul'yanovsk (1997).Google Scholar
- 6.G. G. Ivanov, Teor. Mat. Fiz.,57, No. 1, 45 (1983).Google Scholar
- 7.A. A. Belavin and A. M. Polyakov, Pis'ma Zh. Eksp. Teor. Fiz.,22, No. 10, 503 (1975).Google Scholar