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4-Dimensional black holes from Kaluza-Klein theories |
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| Authors: | Peter Breitenlohner Dieter Maison Gary Gibbons |
| Affiliation: | (1) Max-Planck-Institut für Physik und Astrophysik, Werner-Heisenberg-Institut für Physik, P.O. Box 401212, D-8000 München, Federal Republic of Germany;(2) Department of Applied Mathematics and Theoretical Physics, Silver Street, CB3 9EW Cambridge, England;(3) Laboratoire de Physique Théorique de l'Ecole Normale Supérieure*, and Groupe d'Astrophysique Relativiste, Observatoire de Paris, Meudon, France |
| Abstract: | In this paper we consider generalizations in 4 dimensions of the Einstein-Maxwell equations which typically arise from Kaluza-Klein theories. We specify conditions such that stationary solutions lead to non-linear -models for symmetric spaces. Using both this group theoretic structure and some properties of harmonic maps we are able to generalize many of the known existence and uniqueness theorems for black holes in Einstein-Maxwell theory to this more general setting. |
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