Strong Cosmic Censorship for AdS Black Holes and Its Connection to Diophantine Approximation

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• Christoph Kehle (University of Cambridge)
• Friday 24 January 2020, 13:00-14:00
• Pavilion B Potter Room (B1.19).

If you have a question about this talk, please contact Dejan Gajic.

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.

This talk is part of the DAMTP Friday GR Seminar series.

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