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Stability and instability of asymptotically AdS black holes

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If you have a question about this talk, please contact Mustapha Amrani.

Mathematics and Physics of the Holographic Principle

Co-authors: Jacques Smulevici (Universit Paris-Sud (Orsay)), Claude Warnick (University of Warwick)

I will review some recent work regarding the dynamics of asymptotically anti de Sitter black holes. Emphasis will be put on two problems: The behaviour of linear waves on Kerr-AdS backgrounds, for which a logarithmic decay rate is established, and on the dynamics of the non-linear spherically-symmetric coupled Einstein-Klein-Gordon system. This is joint work with J. Smulevici. Finally, I will comment on extending these results to other boundary conditions for the scalar field, and investigate the relationship of boundary conditions and stability. This part is joint work with C. Warnick.

This talk is part of the Isaac Newton Institute Seminar Series series.

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