4-dimensional black holes from Kaluza-Klein theories (Q1113121)
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scientific article; zbMATH DE number 4080349
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 4-dimensional black holes from Kaluza-Klein theories |
scientific article; zbMATH DE number 4080349 |
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4-dimensional black holes from Kaluza-Klein theories (English)
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1988
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In this paper generalizations in 4 dimensions of the Einstein-Maxwell equations are considered which typically arise from Kaluza-Klein theories. Conditions are given such that stationary solutions lead to nonlinear \(\sigma\)-models for symmetric spaces. Using both this group theoretic structure and some properties of harmonic maps many of the known existence and uniqueness theorems for black holes in Einstein- Maxwell theory are generalized to this more general setting.
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Einstein-Maxwell equations
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Kaluza-Klein theories
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nonlinear \(\sigma\)- models
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black holes
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