2 papers
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
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…