Geodesic
Spherically-symmetric non-linear sigma model: the exact solutions obtained with isometrical embedding method
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2011), pp. 227-234

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The method to generate exact cosmological solutions in the frame of the spherically-symmetric non-linear sigma model offered in the present paper. This method is based on the isometrical embeddings of the target space (non-linear sigma-model fields chiral space) into space-time. Also the method application to two- and three-component chiral spaces embedded into space-time was considered. The exact cosmological solutions were obtained in the frame of the several special cases of the two- and three-component spherical-symmetric non-linear sigma-model. The obtained cosmological solutions were also investigated.
Keywords: non-linear sigma model, isometrical embedding method, exact cosmological solutions. 
@article{VSGTU_2011_2_a27,
     author = {S. V. Chervon and Yu. A. Svistunova},
     title = {Spherically-symmetric non-linear sigma model: the exact solutions obtained with isometrical embedding method},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {227--234},
     publisher = {mathdoc},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2011_2_a27/}
}
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S. V. Chervon; Yu. A. Svistunova. Spherically-symmetric non-linear sigma model: the exact solutions obtained with isometrical embedding method. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2011), pp. 227-234. http://geodesic.mathdoc.fr/item/VSGTU_2011_2_a27/