The missing asymptotic sector of rotating black-hole spectroscopy

preprint2012arXivOpen access

Abstract

The rotation of a black hole splits its spectrum in two, yet only one sector is known in the highly-damped regime. We find the second, at least partly oblate sector, with quasinormal modes approaching the total reflection frequencies ω(n>>1) ~ mΩ- 2πiT(n-s), where Ωand T are the horizon angular velocity and temperature, s is the field spin, and m is an azimuthal eigenvalue. Some physical implications are discussed.

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