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The stability of Minkowski space using the r^p-weighted energy method

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If you have a question about this talk, please contact Nathan Johnson-McDaniel .

Several proofs of the nonlinear stability of Minkowski space already exist. These assume various approximate symmetries of the perturbed spacetime, including those generated by boosts and scaling, so they need to be heavily modified before we can study the stability of black holes or other objects. What’s more, it is unclear exactly how much these proofs rely on the structure of the Einstein vacuum equations – could they be adapted to alternative theories, or cases involving matter?

In this talk I will present a new proof, which avoids assuming many of these approximate symmetries, and can also be applied to a very broad class of equations. I will also discuss an interesting phenomenon – formation of shock waves at infinity – encountered during this work.

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

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