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gr-qc2000
A Plane-Symmetric Gravitational Field as a Generalized Nonlinear Sigma Model
S. V. Chervon, D. Yu. Shabalkin
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…
gr-qc1998
On the method of effective nonlinear sigma model in plane- and axially-symmetric vacuum spacetimes
Dmitriy Yu. Shabalkin
In present article effective nonlinear sigma model (NSM) is considered. Einstein equation solution, corresponded to the chiral fields determined by functional parameter method, are…
gr-qc1998★ 1 cited
Effective chiral model of a plane-symmetric gravitational field: properties and exact solutions
Victor M. Zhuravlev, Serguey V. Chervon, Dmitriy Yu. Shabalkin
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…