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• W2761034713 abstract "We initiate a series of works where we study the interior of dynamical rotating vacuum black holes without symmetry. In the present paper, we take up the problem starting from appropriate Cauchy data for the Einstein vacuum equations defined on a hypersurface already within the black hole interior, representing the expected geometry just inside the event horizon. We prove that for all such data, the maximal Cauchy evolution can be extended across a non-trivial piece of Cauchy horizon as a Lorentzian manifold with continuous metric. In subsequent work, we will retrieve our assumptions on data assuming only that the black hole event horizon geometry suitably asymptotes to a rotating Kerr solution. In particular, if the exterior region of the Kerr family is proven to be dynamically stable---as is widely expected---then it will follow that the $C^0$-inextendibility formulation of Penrose's celebrated strong cosmic censorship conjecture is in fact false. The proof suggests, however, that the $C^0$-metric Cauchy horizons thus arising are generically singular in an essential way, representing so-called weak null singularities, and thus that a revised version of strong cosmic censorship holds." @default.
• W2761034713 created "2017-10-20" @default.
• W2761034713 creator A5010599788 @default.
• W2761034713 creator A5088258705 @default.
• W2761034713 date "2017-10-05" @default.
• W2761034713 modified "2023-09-27" @default.
• W2761034713 title "The interior of dynamical vacuum black holes I: The $C^0$-stability of the Kerr Cauchy horizon" @default.
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• W2761034713 hasPublicationYear "2017" @default.
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