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More than three decades ago, Detweiler provided an analytical formula for the gravitational resonant frequencies of rapidly-rotating Kerr black holes. In the present work we shall discuss an important discrepancy between the famous {\it…

High Energy Physics - Theory · Physics 2016-10-07 Shahar Hod

Assessing the stability of higher-dimensional rotating black holes requires a study of linearized gravitational perturbations around such backgrounds. We study perturbations of Myers-Perry black holes with equal angular momenta in an odd…

High Energy Physics - Theory · Physics 2009-05-29 Hari K. Kunduri , James Lucietti , Harvey S. Reall

X-ray studies of stellar mass black holes in X-ray binaries and mass-accreting supermassive black holes in Active Galactic Nuclei have achieved a high degree of maturity and have delivered detailed information about the astrophysical…

High Energy Astrophysical Phenomena · Physics 2018-07-26 Henric Krawczynski

The intriguing superradiant amplification phenomenon allows an orbiting scalar field to extract rotational energy from a spinning Kerr black hole. Interestingly, the energy extraction rate can grow exponentially in time if the…

General Relativity and Quantum Cosmology · Physics 2016-12-14 Shahar Hod

We discuss the relation between the superradiance phenomenon and the instability of rotating black holes in higher dimensions. In particular, we point out that the superradiant instability of a massless scalar field around a simply rotating…

High Energy Physics - Theory · Physics 2008-11-26 Hideo Kodama

We consider the massive scalar field, the Proca field and the Fierz-Pauli field in the Schwarzschild spacetime and we focus more particularly on their long-lived quasinormal modes. We show numerically that the associated excitation factors…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Yves Decanini , Antoine Folacci , Mohamed Ould El Hadj

Superradiant instabilities of spinning black holes can be used to impose strong constraints on ultralight bosons, thus turning black holes into effective particle detectors. However, very little is known about the development of the…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Richard Brito , Vitor Cardoso , Paolo Pani

Regular black holes are generically unstable because of the classical phenomenon that goes by the name of "mass inflation" which destabilizes the inner horizon. In a recent article, [Phys.Rev.D~107~(2023)~2,~024005], it is argued that…

General Relativity and Quantum Cosmology · Physics 2024-06-04 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Costantino Pacilio , Matt Visser

We analyse the superradiant stability of braneworld extremal Kerr and Kerr-Newman black holes under massive scalar perturbation. These black hole solutions differ from their four dimensional counterpart by the presence of a tidal charge,…

General Relativity and Quantum Cosmology · Physics 2021-09-02 Shauvik Biswas

A massive spin-2 field can grow unstably around a black hole, giving rise to a potential probe of the existence of such fields. In this work, we use time-domain evolutions to study such instabilities. Considering the linear regime by…

General Relativity and Quantum Cosmology · Physics 2023-12-19 William E. East , Nils Siemonsen

We develop a systematic effective field theory calculation of the quasinormal modes of Kerr black holes valid for arbitrary spin, providing model-independent corrections to their ringdown spectrum directly relevant for gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2026-04-14 William L. Boyce , Jorge E. Santos

We investigate the instability of the massive scalar field in the vicinity of a rotating black hole. The instability arises from amplification caused by the classical superradiance effect. The instability affects bound states: solutions to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sam R. Dolan

Recent strong-field regime tests of gravity are so far in agreement with general relativity. In particular, astrophysical black holes appear all to be consistent with the Kerr spacetime, but the statistical error on current observations…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Edgardo Franzin , Stefano Liberati , Mauro Oi

Generalizations of the Schwarzschild and Kerr black holes are discussed in an astrophysically viable generalized theory of gravity, which includes higher curvature corrections in the form of the Gauss-Bonnet term, coupled to a dilaton. The…

The massless scalar field in the higher-dimensional Kerr black hole (Myers- Perry solution with a single rotation axis) has been investigated. It has been shown that the field equation is separable in arbitrary dimensions. The quasi-normal…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Daisuke Ida , Yuki Uchida , Yoshiyuki Morisawa

A Reissner-Nordstr\"om black hole (BH) is superradiantly unstable against spherical perturbations of a charged scalar field, enclosed in a cavity, with frequency lower than a critical value. We use numerical relativity techniques to follow…

General Relativity and Quantum Cosmology · Physics 2016-04-20 Nicolas Sanchis-Gual , Juan Carlos Degollado , Pedro J. Montero , José A. Font , Carlos Herdeiro

We investigate the stability of higher dimensional rotating black holes against scalar perturbations. In particular, we make a thorough numerical and analytical analysis of six-dimensional black holes, not only in the low rotation regime…

High Energy Physics - Theory · Physics 2009-11-10 Vitor Cardoso , George Siopsis , Shijun Yoshida

We study the Gregory-Laflamme instability of a 5-dimensional slowly rotating black string in which the 4-dimensional section is described by the Kerr black hole. We treat the rotation in a perturbative way introducing a small parameter for…

High Energy Physics - Theory · Physics 2011-06-07 Chul-Moon Yoo , Sugure Tanzawa , Misao Sasaki

Black-hole perturbation theory is a useful tool to investigate issues in astrophysics, high-energy physics, and fundamental problems in gravity. It is often complementary to fully-fledged nonlinear evolutions and instrumental to interpret…

General Relativity and Quantum Cosmology · Physics 2013-09-10 Paolo Pani

The problem of stability of rotating black holes is the subject of a long standing research program since the 1960s and remains an unresolved problem in general relativity. A major obstacle in the black hole stability problem is that the…

General Relativity and Quantum Cosmology · Physics 2024-12-06 Nishanth Gudapati