University of Cambridge > Talks.cam > DAMTP Friday GR Seminar > The linear stability of the Schwarzschild solution to gravitational perturbations in a generalised wave gauge

The linear stability of the Schwarzschild solution to gravitational perturbations in a generalised wave gauge

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If you have a question about this talk, please contact Michalis Agathos.

In this talk we shall discuss our recent result which establishes that the Schwarzschild family of black holes are linearly stable as solutions to the Einstein vacuum equations when expressed in a generalised wave gauge: all sufficiently regular solutions to the system of equations that result from linearising the Einstein vacuum equations, as expressed in a generalised wave gauge, about a fixed Schwarzschild solution decay at an inverse polynomial rate to the sum of a residual pure gauge and linearised Kerr solution. The result thus complements the recent seminal paper of Dafermos—Holzegel—Rodnianski in a similar vein as to how the work of Lindblad—Rodnianski complemented that of Christodoulou—Klainerman in establishing the nonlinear stability of the Minkowski space.

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

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