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Geometric Analysis Seminar

THE LINEAR STABILITY OF REISSNER–NORDSTRÖM SPACETIME

Elena Giorgi, Princeton University

Location:  Hill 705
Date & time: Tuesday, 10 September 2019 at 2:50PM - 3:50PM

Abstract:  We prove the linear stability of the Reissner–Nordström family of charged black holes as solutions to the Einstein–Maxwell equations,  subject to coupled gravitational and electromagnetic perturbations. We prove boundedness and decay of gauge-invariant quantities transporting gravitational and electromagnetic radiation, which verify a system of  
coupled wave equations.