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We study the Klein-Gordon equation for a massive scalar field in Kerr spacetime in the time-domain. We demonstrate that under conditions of super-radiance, the scalar field becomes unstable and its amplitude grows without bound. We also…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Matthew J. Strafuss , Gaurav Khanna

It is known that a massive charged scalar field can trigger a superradiant instability in the background of a Kerr-Newman black hole. In this paper, we present a numerical study of such an instability by using the continued fraction method.…

General Relativity and Quantum Cosmology · Physics 2018-08-01 Yang Huang , Dao-Jun Liu , Xiang-hua Zhai , Xin-zhou Li

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

We show the instability of a charged massive scalar field in bound states around Kerr-Sen black holes. By matching the near and far region solutions of the radial part in the corresponding Klein-Gordon equation, one can show that the…

High Energy Physics - Theory · Physics 2015-10-05 Haryanto M. Siahaan

We study the superradiance instability of charged massive scalar field in the background of Kerr-Newman-anti-de Sitter black hole. By employing the asymptotic matching technique to solve Klein-Gordon equation analytically, the complex parts…

General Relativity and Quantum Cosmology · Physics 2012-07-31 Ran Li

Charged rotating Kerr-Newman black holes are known to be superradiantly unstable to perturbations of charged massive bosonic fields whose proper frequencies lie in the bounded regime $0 < \omega < \text{min} \{\omega_{\text{c}} \equiv m…

General Relativity and Quantum Cosmology · Physics 2016-09-28 Shahar Hod

We investigate the quasibound states of charged massive scalar fields in the Kerr-Newman black hole spacetime by using a new approach recently developed, which uses the polynomial conditions of the Heun functions. We calculate the resonant…

General Relativity and Quantum Cosmology · Physics 2022-10-24 H. S. Vieira , V. B. Bezerra , C. R. Muniz

Confined scalar fields, either by a mass term or by a mirror-like boundary condition, have unstable modes in the background of a Kerr black hole. Assuming a time dependence as $e^{-i\omega t}$, the growth time-scale of these unstable modes…

General Relativity and Quantum Cosmology · Physics 2013-09-11 Carlos A. R. Herdeiro , Juan Carlos Degollado , Helgi Freyr Rúnarsson

In this paper, we study a physical system that is composed of massive charged scalar field linearly coupled to a charged rotating Kerr-Newman black hole. Given the parameters of black hole and a specific set of "quantum" numbers, the…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Yang Huang , Dao-Jun Liu

It is shown that Kerr-Newman black holes can support linear charged scalar fields in their exterior regions. To that end, we solve analytically the Klein-Gordon wave equation for a stationary charged massive scalar field in the background…

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

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

Bosonic fields on rotating black hole spacetimes are subject to amplification by superradiance, which induces exponentially-growing instabilities (the `black hole bomb') in two scenarios: if the black hole is enclosed by a mirror, or if the…

General Relativity and Quantum Cosmology · Physics 2013-07-02 Sam R. Dolan

We consider the bound states of the massive scalar field around a rotating black hole immersed in the asymptotically uniform magnetic field. In the regime of slow black hole rotation, the Klein-Gordon equation allows separation of…

High Energy Physics - Theory · Physics 2009-01-16 R. A. Konoplya

We numerically study the superradiant instability of charged massless scalar field in the background of charged stringy black hole with mirror-like boundary condition. We compare the numerical result with the previous analytical result and…

General Relativity and Quantum Cosmology · Physics 2015-01-14 Ran Li , Junkun Zhao

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 examine the stability of a spherically symmetric regular black hole when subjected to perturbations from a charged scalar field. This particular black hole is constructed by deforming the Minkowski spacetime. It has been observed that…

General Relativity and Quantum Cosmology · Physics 2024-12-30 Yizhi Zhan , Hengyu Xu , Shao-Jun Zhang

It is reported that Kerr-Newman and Kerr-Sen black holes are unstable to perturbations of charged massive scalar field. In this paper, we study analytically the complex frequencies which characterize charged massive scalar fields in a…

General Relativity and Quantum Cosmology · Physics 2017-11-30 Canisius Bernard

Rotating black holes are well known to amplify the perturbing bosonic fields in certain parameter spaces. This phenomenon is popularly known as superradiance. In addition to rotation in the spacetime, charge plays a crucial role in the…

General Relativity and Quantum Cosmology · Physics 2025-04-02 Rajesh Karmakar

Recently, a new interesting instability of a charged scalar field in the Reissner-Nordstr\"om-de Sitter background has been found (arXiv:1405.4931v2) through the time-domain integration of the perturbation equation. We investigate further…

High Energy Physics - Theory · Physics 2014-10-01 R. A. Konoplya , A. Zhidenko

The current early stage in the investigation of the stability of the Kerr metric is characterized by the study of appropriate model problems. Particularly interesting is the problem of the stability of the solutions of the Klein-Gordon…

Mathematical Physics · Physics 2015-05-28 Horst Reinhard Beyer
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