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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

The light-like limit of the Kerr gravitational field relative to a distant observer moving rectilinearly in an arbitrary direction is an impulsive plane gravitational wave with a singular point on its wave front. By colliding particles with…

General Relativity and Quantum Cosmology · Physics 2009-11-11 C. Barrabes , V. P. Frolov , P. A. Hogan

We study quasinormal modes of massive scalar perturbations in Kerr black holes using the isomonodromic method. For arbitrary scalar masses $M \mu$ and black hole spins $a/M$, we numerically determine the quasinormal frequencies for various…

General Relativity and Quantum Cosmology · Physics 2024-12-31 João Paulo Cavalcante , Maurício Richartz , Bruno Carneiro da Cunha

It has been recently pointed out that nonlinear effects are necessary to model the ringdown stage of the gravitational waveform produced by the merger of two black holes giving rise to a remnant Kerr black hole. We show that this nonlinear…

General Relativity and Quantum Cosmology · Physics 2023-07-19 Alex Kehagias , Davide Perrone , Antonio Riotto , Francesco Riva

By using the complex angular momentum approach, we prove that the quasinormal mode complex frequencies of the Schwarzschild black hole are Breit-Wigner type resonances generated by a family of surface waves propagating close to the unstable…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yves Décanini , Antoine Folacci , Bruce Jensen

Using the WKB method, we show that the peak location ($r_{\rm peak}$) of the potential, which determines the quasinormal mode frequency of the Kerr black hole, obeys an accurate empirical relation as a function of the specific angular…

General Relativity and Quantum Cosmology · Physics 2016-04-29 Takashi Nakamura , Hiroyuki Nakano

It has been recently found that for the near extremal Kerr black holes appearing of Zero Damped Modes (accompanied by qusinormal mode branching) signifies about inapplicability of the regime of small perturbations and the onset of…

General Relativity and Quantum Cosmology · Physics 2015-09-23 K. D. Kokkotas , R. A. Konoplya , A. Zhidenko

We give a thorough description of the shape of rotating axisymmetric stable black-hole (apparent) horizons applicable in dynamical or stationary regimes. It is found that rotation manifests in the widening of their central regions…

General Relativity and Quantum Cosmology · Physics 2013-11-21 Martin Reiris , Maria Eugenia Gabach Clement

The remnant of a black hole binary merger settles into a stationary configuration by "ringing down" through the emission of gravitational waves that consist of a superposition of damped exponentials with discrete complex frequencies - the…

General Relativity and Quantum Cosmology · Physics 2025-12-11 Matteo Della Rocca , Laura Pezzella , Emanuele Berti , Leonardo Gualtieri , Andrea Maselli

The rotating loop quantum gravity black hole is a newly proposed non-singular black hole, which eliminates spacetime singularities when a regularization parameter is introduced through loop quantum corrections. This parameter is expected to…

General Relativity and Quantum Cosmology · Physics 2024-07-23 Zhong-Wu Xia , Hao Yang , Yan-Gang Miao

The final ringdown phase in a coalescence process is a valuable laboratory to test General Relativity and potentially constrain additional degrees of freedom in the gravitational sector. We introduce here an effective description for…

High Energy Physics - Theory · Physics 2019-03-27 Gabriele Franciolini , Lam Hui , Riccardo Penco , Luca Santoni , Enrico Trincherini

We study the stability of a rotating (Kerr) black hole in the viable $f(R)$ gravity. The linearized-Ricci scalar equation shows the superradiant instability, leading to the instability of the Kerr black hole in $f(R)$ gravity.

General Relativity and Quantum Cosmology · Physics 2013-11-27 Yun Soo Myung

We formulate the Dirac equation for a massive neutral spin-half particle on a rotating black hole spacetime, and we consider its (quasi)bound states: gravitationally-trapped modes which are regular across the future event horizon. These…

General Relativity and Quantum Cosmology · Physics 2015-11-13 Sam R Dolan , David Dempsey

We consider the quasinormal modes, quasibound states and superradiant instability of a rotating hairy black hole, which possesses a Horndeski hair as deviation from Kerr black hole, under the perturbation of massive scalar field. With the…

General Relativity and Quantum Cosmology · Physics 2024-07-03 Yun-He Lei , Zhen-Hao Yang , Xiao-Mei Kuang

A co-rotating bosonic field interacting with a spinning Kerr black hole can extract rotational energy and angular momentum from the hole. This intriguing phenomenon is known as superradiant scattering. As pointed out by Press and Teukolsky,…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Shahar Hod

The superradiant stability of a Kerr-Newman black hole and charged massive scalar perturbation is investigated. We treat the black hole as a background geometry and study the equation of motion of the scalar perturbation. From the radial…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Jun-Huai Xu , Zi-Han Zheng , Ming-Jian Luo , Jia-Hui Huang

We study in special limiting cases quasinormal modes of massive scalar fields in the Schwarzschild-de Sitter black hole backgrounds. We determine the lower limit on the mass parameter of the scalar field that allows the waves with…

General Relativity and Quantum Cosmology · Physics 2017-07-25 Bobir Toshmatov , Zdeněk Stuchlík

The superradiant scattering of a scalar field with frequency and angular momentum (\omega,m) by a near-extreme Kerr black hole with mass and spin (M,J) was derived in the seventies by Starobinsky, Churilov, Press and Teukolsky. In this…

High Energy Physics - Theory · Physics 2014-11-20 Irene Bredberg , Thomas Hartman , Wei Song , Andrew Strominger

Rotating black holes can form dense boson clouds through superradiant instability, making Kerr black holes a powerful probe of ultralight massive bosons. Previous studies of black hole superradiance have often treated bosonic fields…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Lingyun Fu , Hidetoshi Omiya , Takahiro Tanaka , Xi Tong , Yi Wang , Hui-Yu Zhu

With the possibility of testing massive gravity in the context of black hole physics in mind, we consider the radiation produced by a particle plunging from slightly below the innermost stable circular orbit into a Schwarzschild black hole.…

General Relativity and Quantum Cosmology · Physics 2015-08-05 Yves Decanini , Antoine Folacci , Mohamed Ould El Hadj