Distribution of Resonances for Spherical Black Holes

  title={Distribution of Resonances for Spherical Black Holes},
  author={Antonio Sa Barreto and M. Zworski}
The purpose of this note is to apply the methods of geometric scattering theory developed by Briet-Combes-Duclos [6], Gérard-Sjöstrand [14], Mazzeo-Melrose [22] and the second author [30] in the simplest model of a Black Hole: the De SitterSchwarzschild metric. We show that the resonances (or the quasi normal modes, in the terminology of Chandrasekhar [8]) are globally defined in C and that in a strip below the real axis and for large angular momenta, l, they are well approximated by the ( ±l… CONTINUE READING
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