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Friday 08 June 2018, 13:00-14:00
The linear stability of the Schwarzschild solution to gravitational perturbations in a generalised wave gauge
- š¤ Speaker: Thomas Johnson (University of Cambridge)
- š Date & Time: Friday 08 June 2018, 13:00 - 14:00
- š Venue: Pavilion B Potter Room (B1.19)
Abstract
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 DafermosāHolzegelāRodnianski in a similar vein as to how the work of LindbladāRodnianski complemented that of ChristodoulouāKlainerman in establishing the nonlinear stability of the Minkowski space.
Series This talk is part of the DAMTP Friday GR Seminar series.
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