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Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 57, Number 1, Pages 45–54
(Mi tmf2237)
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This article is cited in 9 scientific papers (total in 9 papers)
Symmetries, conservation laws, and exact solutions in nonlinear sigma models
G. G. Ivanov
Abstract:
Nonlinear four-dimensional $\sigma$ models interacting with the gravitational field are considered. On the basis of the connection between the groups of isometric
motions of the space-time $V_4$ and the space $V_N$ of values of the chiral field exact solutions are obtained for the Einstein and chiral-field equations for spherical and plane symmetry. The conserved currents associated with the presence of the isometric motions in $V_N$ are constructed.
Received: 03.01.1983
Citation:
G. G. Ivanov, “Symmetries, conservation laws, and exact solutions in nonlinear sigma models”, TMF, 57:1 (1983), 45–54; Theoret. and Math. Phys., 57:1 (1983), 981–987
Linking options:
https://www.mathnet.ru/eng/tmf2237 https://www.mathnet.ru/eng/tmf/v57/i1/p45
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