4-dimensional black holes from Kaluza-Klein theories. (English) Zbl 0661.53064
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.
Reviewer: H.Stephani
MSC:
| 53C80 | Applications of global differential geometry to the sciences |
| 83E15 | Kaluza-Klein and other higher-dimensional theories |
| 53C35 | Differential geometry of symmetric spaces |
Keywords:
Einstein-Maxwell equations; Kaluza-Klein theories; nonlinear \(\sigma\)- models; black holesReferences:
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