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Existence of Quasinormal Modes for Kerr–AdS Black Holes

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Abstract

This paper establishes the existence of quasinormal frequencies converging exponentially to the real axis for the Klein–Gordon equation on a Kerr–AdS spacetime when Dirichlet boundary conditions are imposed at the conformal boundary. The proof is adapted from results in Euclidean scattering about the existence of scattering poles generated by time-periodic approximate solutions to the wave equation.

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Authors and Affiliations

  1. Department of Mathematics, Lunt Hall Northwestern University, Evanston, IL, 60208, USA

    Oran Gannot

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  1. Oran Gannot
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Correspondence to Oran Gannot.

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Communicated by James A. Isenberg.

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Gannot, O. Existence of Quasinormal Modes for Kerr–AdS Black Holes. Ann. Henri Poincaré 18, 2757–2788 (2017). https://doi.org/10.1007/s00023-017-0568-z

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  • DOI: https://doi.org/10.1007/s00023-017-0568-z

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