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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 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

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 study the superradiant stability of the system of a Kerr black hole and a massive scalar perturbation. It was proved previously that this system is superradiantly stable when $\mu\geq \sqrt{2}m\Omega_H$, where $\mu$ is the proper mass of…

General Relativity and Quantum Cosmology · Physics 2019-10-16 Jia-Hui Huang , Wen-Xiang Chen , Zi-Yang Huang , Zhan-Feng Mai

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

The instability of rotating Kerr black holes due to massive scalar perturbations is investigated. It is well known that a bosonic field impinging on a Kerr black hole can be amplified as it scatters off the hole. This superradiant…

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

We know that Kerr black holes are stable for specific conditions.In this article, we use algebraic methods to prove the stability of the Kerr black hole against certain scalar perturbations. This provides new results for the previously…

General Relativity and Quantum Cosmology · Physics 2023-12-29 Wen-Xiang Chen , Zi-Yang Huang

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

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

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

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 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

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

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 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

We investigate the superradiant (in)stability of the extremal multi-charge static black holes in the STU supergravity model, which reduce to the RN black hole when all the charges are equal. We first show that the frequency of quasi-bound…

High Energy Physics - Theory · Physics 2022-02-09 Zhan-Feng Mai , Run-Qiu Yang , H. Lu

We investigate the stability of $f(R)$-rotating (Kerr) black hole obtained from a limited form of $f(R)$ gravity. In order to avoid the difficulty of handling fourth order linearized equations, we transform this form of $f(R)$ gravity into…

General Relativity and Quantum Cosmology · Physics 2011-08-12 Yun Soo Myung

When a scalar wave perturbation is properly scattering off a charged or rotating black hole, the energy of the reflected scalar wave may be amplified. This is a superradiant process. If this amplification process can occur back and forth…

General Relativity and Quantum Cosmology · Physics 2020-09-08 Jia-Hui Huang , Mu-Zi Zhang , Tian-Tian Cao , Yi-Feng Zou , Zhan-Feng Mai

We study the instability of near extremal and extremal four-dimensional AdS charged hairy black hole to radial neutral massive and charged massless scalar field perturbations. We solve the scalar field equation by using the improved…

General Relativity and Quantum Cosmology · Physics 2017-04-05 P. A. González , Eleftherios Papantonopoulos , Joel Saavedra , Yerko Vásquez

It was recently shown that the extremal charged black holes in STU supergravity suffer from superradiant instability owing to the existence of the unstable (low-frequency) quasibound states associated with a charged massive scalar field. In…

High Energy Physics - Theory · Physics 2022-07-06 Zhan-Feng Mai , Run-Qiu Yang , H. Lü
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