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H 1 The stability of Kerr-de Sitter black holes

Auteurs : Hintz, Peter (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : In this lecture I will discuss Kerr-de Sitter black holes, which are rotating black holes in a universe with a positive cosmological constant, i.e. they are explicit solutions (in 3+1 dimensions) of Einstein's equations of general relativity. They are parameterized by their mass and angular momentum.
    I will discuss the geometry of these black holes, and then talk about the stability question for these black holes in the initial value formulation. Namely, appropriately interpreted, Einstein's equations can be thought of as quasilinear wave equations, and then the question is if perturbations of the initial data produce solutions which are close to, and indeed asymptotic to, a Kerr-de Sitter black hole, typically with a different mass and angular momentum. In this talk, I will emphasize geometric aspects of the stability problem, in particular showing that Kerr-de Sitter black holes with small angular momentum are stable in this sense.

    Codes MSC :
    35B40 - Asymptotic behavior of solutions of PDE
    83C05 - Einstein's equations (general structure, canonical formalism, Cauchy problems)
    83C35 - Gravitational waves
    83C57 - Black holes
    58J47 - Propagation of singularities; initial value problems

      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 23/03/17
      Date de captation : 14/03/17
      Collection : Research talks ; Partial Differential Equations ; Mathematical Physics
      Format : MP4
      Durée : 00:57:54
      Domaine : Mathematical Physics ; PDE
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2017-03-14_Hintz.mp4

    Informations sur la rencontre

    Nom de la rencontre : Resonances: geometric scattering and dynamics / Résonances : scattering géométrique et dynamique
    Organisateurs de la rencontre : Guillarmou, Colin ; Hilgert, Joachim ; Pasquale, Angela ; Przebinda, Tomasz
    Dates : 13/03/17 - 17/03/17
    Année de la rencontre : 2017
    URL Congrès : http://conferences.cirm-math.fr/1604.html

    Citation Data

    DOI : 10.24350/CIRM.V.19142603
    Cite this video as: Hintz, Peter (2017). The stability of Kerr-de Sitter black holes. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19142603
    URI : http://dx.doi.org/10.24350/CIRM.V.19142603

    Voir aussi


    1. Hintz, P., & Vasy, A. (2016). The global non-linear stability of the Kerr-de Sitter family of black holes. - https://arxiv.org/abs/1606.04014

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