Existence of quasinormal modes for Kerr-AdS black holes
Oran Gannot
TL;DR
This paper proves that Kerr-AdS black holes have quasinormal modes with frequencies approaching the real axis exponentially, using methods from Euclidean scattering theory to analyze the Klein-Gordon equation.
Contribution
It demonstrates the existence of quasinormal modes for Kerr-AdS black holes with exponential convergence, adapting Euclidean scattering techniques to this setting.
Findings
Existence of quasinormal frequencies converging exponentially to the real axis.
Application of Euclidean scattering methods to Kerr-AdS spacetime.
Extension of scattering pole results to black hole quasinormal mode analysis.
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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