Abstract
Exact solutions of four-dimensional self-gravitating compact and noncompact σ-models with an internal SO(4) invariance, in spaces of flat symmetry, are obtained. It is shown that the compactness of the chiral field may not influence the spacetime metric.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 89–93, August, 1983.
The author thanks G. G. Ivanov for the formulation of the problem and for his interest in this work.
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Chernov, S.V. Flat-symmetrical solutions in a SO(4)-invariant self-gravitating σ-model. Soviet Physics Journal 26, 756–759 (1983). https://doi.org/10.1007/BF00898890
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DOI: https://doi.org/10.1007/BF00898890