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Non-Existence of Multiple-Black-Hole Solutions Close to Kerr-Newman

Wong, Willie ; Yu, Pin

In: Communications in Mathematical Physics, 2014, vol. 325, no. 3, p. 965-996

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    Titre
    • Non-Existence of Multiple-Black-Hole Solutions Close to Kerr-Newman
    Auteur
    • Wong, Willie. École Polytechnique Fédérale de Lausane, Lausanne, Switzerland
    • Yu, Pin. Mathematical Sciences Center, Tsinghua University, Beijing, China
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • Communications in Mathematical Physics, 2014, vol. 325, no. 3, p. 965-996. Springer Berlin Heidelberg
    Autre version électronique
    Classification
    • Mathématiques
    Identifiant OAI-PMH
    • oai:doc.rero.ch:325794
    Summary
    We show that a stationary asymptotically flat electro-vacuum solution of Einstein's equations that is everywhere locally "almost isometric” to a Kerr-Newman solution cannot admit more than one event horizon. Axial symmetry is not assumed. In particular this implies that the assumption of a single event horizon in Alexakis-Ionescu-Klainerman's proof of perturbative uniqueness of Kerr black holes is in fact unnecessary.