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arxiv: 1602.08147 · v2 · pith:BDNSQ5KRnew · submitted 2016-02-25 · 🧮 math.AP · gr-qc· math.SP

Existence of quasinormal modes for Kerr-AdS black holes

classification 🧮 math.AP gr-qcmath.SP
keywords existenceboundaryequationkerr-adsquasinormalscatteringadaptedapproximate
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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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