A Plane-Symmetric Gravitational Field as a Generalized Nonlinear Sigma Model

S. V. Chervon; D. Yu. Shabalkin

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A Plane-Symmetric Gravitational Field as a Generalized Nonlinear Sigma Model

S. V. Chervon·D. Yu. Shabalkin

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Abstract

The Einstein equations for a plane-symmetric gravitational field coupled to an arbitrary nonlinear sigma model (NSM) are shown to be represented in the form of dynamical equations of a {\it generalized effective NSM}. The gravitational equations are studied in this case by the methods of analyzing NSM equations. In the case of a two-component diagonal NSM exact solutions are found by the functional parameter method.

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S. V. Chervon, D. Yu. Shabalkin. 2000-07-01. A Plane-Symmetric Gravitational Field as a Generalized Nonlinear Sigma Model. https://arxiv.org/abs/gr-qc/0007001

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