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Pieter Blue: Decay for fields outside black holes

Tid: On 2018-11-14 kl 15.15

Plats: Room 3418, Lindstedtsvägen 25, 4th floor, Department of mathematics, KTH

Medverkande: Pieter Blue, The University of Edinburgh

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The stability of Kerr black holes is one of the major open problems in mathematical relativity. If a two-tensor satsifies the linearised Einstein equation with the linearisation taken around a Kerr black hole, then it has been known since the early 1970s that the extreme components of the curvature must satisfy the Teukolsky equation. Breakthroughs in 2017 by Ma and by Dafermos-Holzegel-Rodnianski have proven for the first time that there are uniformly bounded energies for this equation. This talk will present work in progress on improving these decay results and on the metric reconstruction problem. The conclusion of this is decay estimates for solutions of the linearised Einstien equation.

Tillhör: Stockholms Matematikcentrum
Senast ändrad: 2018-11-05