Regularity of the Future Event Horizon in Perturbations of Kerr
Abstract
The goal of the paper is to show that the event horizons of the spacetimes constructed in KS, see also KS-Schw, in the proof of the nonlinear stability of slowly rotating Kerr spacetimes K(a0,m0), are necessarily smooth null hypersurfaces. Moreover we show that the result remains true for the entire range of |a0|/m0 for which stability can be established.
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