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- W2001594265 abstract "The fundamental resonances of rapidly rotating Kerr black holes in the eikonal limit are derived analytically. We show that there exists a critical value, $mu_c=sqrt{{{15-sqrt{193}}over{2}}}$, for the dimensionless ratio $muequiv m/l$ between the azimuthal harmonic index $m$ and the spheroidal harmonic index $l$ of the perturbation mode, above which the perturbations become long lived. In particular, it is proved that above $mu_c$ the imaginary parts of the quasinormal frequencies scale like the black-hole temperature: $omega_I(n;mu>mu_c)=2pi T_{BH}(n+{1over 2})$. This implies that for perturbations modes in the interval $mu_c<muleq 1$, the relaxation period $tausim 1/omega_I$ of the black hole becomes extremely long as the extremal limit $T_{BH}to 0$ is approached. A generalization of the results to the case of scalar quasinormal resonances of near-extremal Kerr-Newman black holes is also provided. In particular, we prove that only black holes that rotate fast enough (with $MOmegageq {2over 5}$, where $M$ and $Omega$ are the black-hole mass and angular velocity, respectively) possess this family of remarkably long-lived perturbation modes." @default.
- W2001594265 created "2016-06-24" @default.
- W2001594265 creator A5046640072 @default.
- W2001594265 date "2012-09-01" @default.
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- W2001594265 title "Resonance spectrum of near-extremal Kerr black holes in the eikonal limit" @default.
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- W2001594265 doi "https://doi.org/10.1016/j.physletb.2012.08.001" @default.
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