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4-Dimensional black holes from Kaluza-Klein theories

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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-linearσ-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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Authors and Affiliations

  1. Max-Planck-Institut für Physik und Astrophysik, Werner-Heisenberg-Institut für Physik, P.O. Box 401212, D-8000, München, Federal Republic of Germany

    Peter Breitenlohner & Dieter Maison

  2. Department of Applied Mathematics and Theoretical Physics, Silver Street, CB3 9EW, Cambridge, England

    Gary Gibbons

  3. Laboratoire de Physique Théorique de l'Ecole Normale Supérieure*, and Groupe d'Astrophysique Relativiste, Observatoire de Paris, Meudon, France

    Gary Gibbons

Authors
  1. Peter Breitenlohner
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  2. Dieter Maison
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  3. Gary Gibbons
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Communicated by S.-T. Yau

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Breitenlohner, P., Maison, D. & Gibbons, G. 4-Dimensional black holes from Kaluza-Klein theories. Commun.Math. Phys. 120, 295–333 (1988). https://doi.org/10.1007/BF01217967

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  • DOI: https://doi.org/10.1007/BF01217967

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