The black hole stability problem for linear scalar perturbations

Research output: Chapter in Book/Report/Conference proceedingConference contribution

33 Scopus citations

Abstract

We review our recent work on linear stability for scalar perturbations of Kerr spacetimes, that is to say, boundedness and decay properties for solutions of the scalar wave equa- Tion gψ = 0 on Kerr exterior backgrounds (M, ga,M ). We begin with the very slowly rotating case |a| ≪ M, where first boundedness and then decay has been shown in rapid developments over the last two years, following earlier progress in the Schwarzschild case a = 0. We then turn to the general subextremal range |a| < M, where we give here for the first time the essential elements of a proof of definitive decay bounds for solutions ψ. These developments give hope that the problem of the non-linear stability of the Kerr family of black holes might soon be addressed.

Original languageEnglish (US)
Title of host publication12th Marcel Grossmann Meeting on Recent Dev. in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proc. of the MG 2009 Meeting on General Relativity
PublisherWorld Scientific Publishing Co. Pte Ltd
Pages132-189
Number of pages58
ISBN (Print)9814374512, 9789814374514
DOIs
StatePublished - 2012
Event12th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, MG 2009 - Paris, France
Duration: Jul 12 2009Jul 18 2009

Publication series

Name12th Marcel Grossmann Meeting on Recent Dev. in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proc. of the MG 2009 Meeting on General Relativity

Other

Other12th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, MG 2009
CountryFrance
CityParis
Period7/12/097/18/09

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics
  • Nuclear and High Energy Physics

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