4-Dimensional black holes from Kaluza-Klein theories

Details 4-Dimensional black holes from Kaluza-Klein theories 4-Dimensional black holes from Kaluza-Klein theories

Jun 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988cmaph.120..295b&link_type=abstract

Communications in Mathematical Physics, Volume 120, Issue 2, pp.295-333

Mathematics

Mathematical Physics

196

Scientific paper

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 σ-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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