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arXiv · 0709.1532

Asymptotic Spectroscopy of Rotating Black Holes

Uri Keshet·Andrew Neitzke
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Abstract

We calculate analytically the transmission and reflection amplitudes for waves incident on a rotating black hole in d=4, analytically continued to asymptotically large, nearly imaginary frequency. These amplitudes determine the asymptotic resonant frequencies of the black hole, including quasinormal modes, total-transmission modes and total-reflection modes. We identify these modes with semiclassical bound states of a one-dimensional Schrodinger equation, localized along contours in the complexified r-plane which connect turning points of corresponding null geodesics. Each family of modes has a characteristic temperature and chemical potential. The relations between them provide hints about the microscopic description of the black hole in this asymptotic regime.

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Uri Keshet, Andrew Neitzke. 2007-09-30. Asymptotic Spectroscopy of Rotating Black Holes. https://doi.org/10.1103/physrevd.78.044006

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