http://arxiv.org/abs/1602.05730
More than three decades ago, Detweiler provided an analytical formula for the quasinormal resonances of rapidly-rotating Kerr black holes. In the present work we shall discuss an important discrepancy between the famous analytical prediction of Detweiler [Astrophys. J. {\bf 239}, 292 (1980)] and the recent numerical results of Zimmerman et. al. [arXiv:1510.08159]. In addition, we shall refute the recent claim made by Zimmerman et. al. that Detweiler’s famous resonance equation for the characteristic eigenfrequencies of rapidly-rotating Kerr black holes is not valid in the regime of damped quasinormal resonances with $\Im\omega/T_{\text{BH}}\gg1$ (here $\omega$ and $T_{\text{BH}}$ are respectively the characteristic quasinormal frequency of the Kerr black hole and its Bekenstein-Hawking temperature). The main goal of the present paper is to highlight and expose this important black-hole quasinormal mystery (that is, the intriguing discrepancy between the analytical and numerical results regarding the quasinormal resonance spectra of rapidly-rotating Kerr black holes) to as many researchers as possible.
S. Hod
Fri, 19 Feb 16
30/50
Comments: 10 pages
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