skip to content

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.

Further information

Time:

24Jan
Jan 24th 2020
13:00 to 14:00

Venue:

Pavilion B Potter Room (B1.19)

Speaker:

Christoph Kehle (University of Cambridge)

Series:

DAMTP Friday GR Seminar