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The small Kerr-anti-de Sitter black hole demonstrates instability due to the superradiance of either a massive or massless scalar field. Previous leading-order approximations of the spectrum are inefficient. In particular, the leading-order…

General Relativity and Quantum Cosmology · Physics 2025-03-04 Xiang-hao Chu , Yi-qing Chu , Shou-shan Bao , Hong Zhang

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

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

A (charged) rotating black hole may be unstable against a (charged) massive scalar field perturbation due to the existence of superradiance modes. The stability property depends on the parameters of the system. In this paper, the…

General Relativity and Quantum Cosmology · Physics 2021-06-02 Jia-Mao Lin , Ming-Jian Luo , Zi-Han Zheng , Lei Yin , Jia-Hui Huang

We revisit the superradiant stability of Kerr-Newman black holes under a charged massive scalar perturbation. We obtain a newly suitable potential which is not singular at the outer horizon when a radial equation is expressed the…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Yun Soo Myung

We find two conditions for superradiant instability of Kerr-Newman black holes under a charged massive scalar perturbation by analyzing asymptotic scalar potential and far-region wave function. Actually, they correspond to the condition for…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Yun Soo Myung

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

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

Spinning Kerr black holes are known to be superradiantly unstable to massive scalar perturbations. We here prove that the instability regime of the composed Kerr-black-hole-massive-scalar-field system is bounded from above by the…

General Relativity and Quantum Cosmology · Physics 2016-06-22 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

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

The approximate solution of the Klein-Gordon equation for a real scalar field of mass $\mu$ in the geometry of a Kerr black hole obtained by Detweiler \cite{Detweiler:1980uk} is widely used in the analysis of the stability of black holes as…

General Relativity and Quantum Cosmology · Physics 2022-09-21 Shou-Shan Bao , Qi-Xuan Xu , Hong Zhang

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

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 study the superradiant instability of slowly rotating Kerr-Newman (sKN) black holes under a charged massive scalar perturbation. These black holes resemble closer the Reissner-Nordstr\"{o}m black holes than the Kerr-Newman black holes.…

General Relativity and Quantum Cosmology · Physics 2022-10-26 Yun Soo Myung

In this article, the superradiation stability of Kerr-Newman black holes is discussed by introducing the condition used in Kerr black holes y into them. Moreover, the motion equation of the minimal coupled scalar perturbation in a…

General Relativity and Quantum Cosmology · Physics 2022-07-26 Wen-Xiang Chen , Yao-Guang Zheng

We investigate the superradiant instability of Kerr-Newman black holes in the presence of a massive, charged scalar field using the Vieira-Bezerra-Kokkotas (VBK) method. We study the solutions of the exact polynomial condition for…

General Relativity and Quantum Cosmology · Physics 2026-03-03 John Adrian B. Baybay , Kevin T. Grosvenor

In electrovacuum stationary, asymptotically flat black holes in scalar-tensor theories of gravity are described by the Kerr-Newman family of solutions, just as in general relativity. We show that there exist two mechanisms which can render…

General Relativity and Quantum Cosmology · Physics 2014-01-23 Vitor Cardoso , Isabella P. Carucci , Paolo Pani , Thomas P. Sotiriou

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

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
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