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Mathematical Research at the University of Cambridge


I will present my results on the behaviour of solutions to the Klein-Gordon equation on the interior of Reissner-Nordstöm-AdS and Kerr-AdS. Despite the very slow logarithmic decay in the exterior, I show that linear waves arising from smooth data with Dirichlet boundary conditions at infinity remain bounded on the Cauchy horizon for Reissner-Nordström-AdS. For Kerr-AdS, however, the situation is far more delicate: Depending on the Diophantine properties of the ratio of the black hole parameters, linear waves blow up or remain bounded at the Cauchy horizon of Kerr-AdS.

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Jan 24th 2020
13:00 to 14:00


Pavilion B Potter Room (B1.19)


Christoph Kehle (University of Cambridge)


DAMTP Friday GR Seminar