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inear and non-linear wave equations on Schwarzschild de Sitter

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If you have a question about this talk, please contact Justin Ripley.

We discuss recent developments in the analysis of linear and non-linear wave equations on the Schwarzschild de Sitter spacetime, which is a black hole spacetime with a positive cosmological constant. Specifically, we use only time domain methods, as opposed to the previous spectral approach, and give a new proof of exponential decay for the solutions of the linear wave equation and a new proof for the stability of the solutions of the quasilinear wave equation. Trapped null geodesics will make a frequent appearance in this talk.

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

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