Spherically-symmetric non-linear sigma model: the exact solutions obtained with isometrical embedding method
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 appl...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Samara State Technical University
2011-06-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Online Access: | http://mi.mathnet.ru/eng/vsgtu874 |
| Summary: | 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. |
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| ISSN: | 1991-8615 2310-7081 |