Exact solutions ofG-invariant chiral equations
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A method is suggested for solving the chiral equations (αg,zg−1),¯z+(αg,¯zg−1),z=0, whereg belongs to some Lie groupG. The solution is written out in terms of harmonic maps. The method can be used even for some infinite-dimensional Lie groups.
KeywordsExact Solution Chiral Equation
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- 1.T. Matos, “Chiral equation in gravitational theories,” in: N. Bretón, R. Capovilla, and T. Matos, eds.,Proceedings of International Conference on Aspects of General Relativity and Mathematical Physics, CINVESTAV, Mexico (1994), p. 176.Google Scholar
- 2.V. A. Belinskii and V. E. Zakharov, “Integration of Einstein's equations by the inverse scattering method and exact soliton solutions,”Zh. Éxper. Teoret. Fiz. [Soviet Phys. JETP],74, No. 6(12), 1953–1971 (1978).Google Scholar
- 5.T. Matos and J. Plebański, “Axisymmetric stationary solutions as harmonic maps,”Gen. Rel. Grav.,26, 477 (1994).Google Scholar
- 6.G. Neugebauer and D. Kramer,Bäcklund transformation of Einstein-Maxwell fields, Preprint, Friederich-Schiller-Universität, Jena (1991).Google Scholar