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We study analytically the quasinormal mode spectrum of near-extremal (rotating) Kerr black holes. We find an analytic expression for these black-hole resonances in terms of the black-hole physical parameters: its Bekenstein-Hawking…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Shahar Hod , Uri Keshet

We study analytically the highly damped quasinormal modes of Kerr black holes in the small angular momentum limit. To check the previous analytic calculations in the literature, which use a combination of radial and tortoise coordinates, we…

General Relativity and Quantum Cosmology · Physics 2011-02-15 Ramin G. Daghigh , Michael D. Green , Brian W. Mulligan

We study analytically the relaxation phase of perturbed, rapidly rotating black holes. In particular, we derive a simple formula for the fundamental quasinormal resonances of near-extremal Kerr black holes. The formula is expressed in terms…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Shahar Hod

We provide an in-depth investigation of quasinormal-mode oscillations of Kerr black holes with nearly extremal angular momenta. We first discuss in greater detail the two distinct types of quasinormal mode frequencies presented in a recent…

General Relativity and Quantum Cosmology · Physics 2013-08-28 Huan Yang , Aaron Zimmerman , Anıl Zenginoğlu , Fan Zhang , Emanuele Berti , Yanbei Chen

In a study of the quasinormal mode frequencies of nearly extremal black holes, we pointed out a bifurcation of the mode spectrum into modes with finite decay and modes with vanishing decay in the extremal limit. We provided analytic and…

General Relativity and Quantum Cosmology · Physics 2015-10-29 Aaron Zimmerman , Huan Yang , Fan Zhang , David A. Nichols , Emanuele Berti , Yanbei Chen

Quasinormal modes are characteristic signatures of compact objects. Here we consider rotating regular black holes, representing rotating generalizations of the Simpson and Visser metric. We present the spectrum of scalar quasinormal modes…

General Relativity and Quantum Cosmology · Physics 2025-06-19 Fech Scen Khoo

The universal relaxation bound suggests that the relaxation times of perturbed thermodynamical systems is bounded from below by the simple time-times-temperature (TTT) quantum relation $\tau\times T\geq {{\hbar}\over{\pi}}$. It is known…

General Relativity and Quantum Cosmology · Physics 2022-02-04 Shahar Hod

Motivated by recent suggestions that highly damped black hole quasinormal modes (QNM's) may provide a link between classical general relativity and quantum gravity, we present an extensive computation of highly damped QNM's of Kerr black…

High Energy Physics - Theory · Physics 2009-11-10 Emanuele Berti , Vitor Cardoso , Kostas D. Kokkotas , Hisashi Onozawa

We compute for the first time very highly damped quasinormal modes of the (rotating) Kerr black hole. Our numerical technique is based on a decoupling of the radial and angular equations, performed using a large-frequency expansion for the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Emanuele Berti , Vitor Cardoso , Shijun Yoshida

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 $\mu\equiv m/l$…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Shahar Hod

Motivated by novel results in the theory of black-hole quantization, we study {\it analytically} the quasinormal modes (QNM) of ({\it rotating}) Kerr black holes. The black-hole oscillation frequencies tend to the asymptotic value…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Shahar Hod

The quasinormal frequencies of massive scalar fields on Kerr-AdS black holes are identified with poles of a certain meromorphic family of operators, once boundary conditions are specified at the conformal boundary. Consequently, the…

Analysis of PDEs · Mathematics 2018-08-09 Oran Gannot

We calculate analytically asymptotic values of quasi-normal frequencies of four-dimensional Kerr black holes by solving the Teukolsky wave equation. We obtain an expression for arbitrary spin of the wave in agreement with Hod's proposal…

High Energy Physics - Theory · Physics 2015-06-26 Suphot Musiri , George Siopsis

Recently Hod proposes a lower bound on the relaxation time of a perturbed thermodynamic system. For gravitational systems this bound transforms into a condition on the fundamental quasinormal frequency. We test the bound in some spacetimes…

General Relativity and Quantum Cosmology · Physics 2014-11-21 A. Lopez-Ortega

We study the late-time behaviour of a dynamically perturbed rapidly rotating black hole. Considering an extreme Kerr black hole, we show that the large number of virtually undamped quasinormal modes (that exist for nonzero values of the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 K. Glampedakis , N. Andersson

Despite recent progress, the complete understanding of the perturbations of charged, rotating black holes as described by the Kerr-Newman metric remains an open and fundamental problem in relativity. In this study, we explore the existence…

General Relativity and Quantum Cosmology · Physics 2016-04-14 Aaron Zimmerman , Zachary Mark

We provide a rigorous definition of quasi-normal modes for a rotating black hole. They are given by the poles of a certain meromorphic family of operators and agree with the heuristic definition in the physics literature. If the black hole…

Analysis of PDEs · Mathematics 2011-07-21 Semyon Dyatlov

It has recently been shown by Yang. et. al. [Phys. Rev. D {\bf 87}, 041502(R) (2013)] that rotating Kerr black holes are characterized by two distinct sets of quasinormal resonances. These two families of quasinormal resonances display…

General Relativity and Quantum Cosmology · Physics 2016-01-26 Shahar Hod

It has been suggested that the highly damped quasinormal modes of black holes provide information about the microscopic quantum gravitational states underlying black hole entropy. This interpretation requires the form of the highly damped…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ramin G. Daghigh , Gabor Kunstatter

We study analytically the fundamental resonances of near-extremal, slowly rotating Kerr-Newman black holes. We find a simple analytic expression for these black-hole quasinormal frequencies in terms of the black-hole physical parameters:…

General Relativity and Quantum Cosmology · Physics 2009-01-16 Shahar Hod
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