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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

The superradiant instability of Kerr-AdS black holes is studied by numerically solving the full 3+1 dimensional Einstein equations. We find that the superradiant instability results in a two stage process with distinct initial and secondary…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Paul M. Chesler

We explore the classical stability of topological black holes in d-dimensional anti-de Sitter spacetime, where the horizon is an Einstein manifold of negative curvature. According to the gauge invariant formalism of Ishibashi and Kodama,…

High Energy Physics - Theory · Physics 2008-11-26 Danny Birmingham , Susan Mokhtari

Black hole solutions in general relativity come with pathologies such as singularity and mass inflation instability, which are believed to be cured by a yet-to-be-found quantum theory of gravity. Without such consistent description, one may…

General Relativity and Quantum Cosmology · Physics 2023-02-14 Rajes Ghosh , Mostafizur Rahman , Akash K Mishra

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

Supported by the use of a regular scalar field we find a black hole solution in the Einstein-Gauss-Bonnet model. From the obtained solution we can recover the Schwarzschild black hole as in other works. Later, by implementing the odd parity…

General Relativity and Quantum Cosmology · Physics 2019-07-16 Gilberto Aguilar-Pérez , Miguel Cruz , Samuel Lepe , Israel Moran-Rivera

Einstein-Maxwell-scalar models allow for different classes of black hole solutions, depending on the non-minimal coupling function $f(\phi)$ employed, between the scalar field and the Maxwell invariant. Here, we address the linear mode…

General Relativity and Quantum Cosmology · Physics 2021-03-17 Jose Luis Blázquez-Salcedo , Carlos A. R. Herdeiro , Sarah Kahlen , Jutta Kunz , Alexandre M. Pombo , Eugen Radu

We prove that for axially symmetric linear gravitational perturbations of the extreme Kerr black hole there exists a positive definite and conserved energy. This provides a basic criteria for linear stability in axial symmetry. In the…

General Relativity and Quantum Cosmology · Physics 2014-09-22 Sergio Dain , Ivan Gentile de Austria

We construct and analyse Kerr black holes (BHs) with synchronised axionic hair. These are the BH generalisations of the recently constructed rotating axion boson stars arXiv:2005.05982. Such BHs are stationary, axially symmetric,…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Jorge F. M. Delgado , Carlos A. R. Herdeiro , Eugen Radu

We investigate a negative potential-induced scalarization of the Einstein-Euler-Heisenberg (EEH) black hole in the EEH-scalar (EEHS) theory, characterized by mass $M$, Euler-Heisenberg parameter $\mu$, and magnetic charge $q$. Within this…

General Relativity and Quantum Cosmology · Physics 2025-08-25 Hong Guo , Miok Park , Yun Soo Myung

We investigate the pseudospectrum of the Kerr black hole, which indicates the instability of the spectrum of quasinormal modes (QNMs) of the Kerr black hole. Methodologically, we use the hyperboloidal framework to cast the QNM problem into…

General Relativity and Quantum Cosmology · Physics 2025-03-13 Rong-Gen Cai , Li-Ming Cao , Jia-Ning Chen , Zong-Kuan Guo , Liang-Bi Wu , Yu-Sen Zhou

These notes, based on lectures given at the summer school on Asymptotic Analysis in General Relativity, collect material on the Einstein equations, the geometry of black hole spacetimes, and the analysis of fields on black hole backgrounds.…

General Relativity and Quantum Cosmology · Physics 2016-10-13 Lars Andersson , Thomas Bäckdahl , Pieter Blue

We consider the nondynamical Chern-Simons (CS) modification to General Relativity (GR) in the framework of the Einstein-Cartan formulation, as providing a way to incorporate a slowly rotating Kerr black hole in the space of solutions. Our…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Mauro Cambiaso , Luis F. Urrutia

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

The advancement in gravitational wave detection has made it possible to study the nonlinear effects in black hole perturbations, the modeling of which requires the full knowledge of the linear order perturbation of the metric. For the most…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Jianwei Mei

Recent perturbative studies have shown the existence of long-lived, quasi-stationary configurations of scalar fields around black holes. In particular, such configurations have been found to survive for cosmological timescales, which is a…

General Relativity and Quantum Cosmology · Physics 2015-07-31 Nicolas Sanchis-Gual , Juan Carlos Degollado , Pedro J. Montero , José A. Font

In four-dimensional scalar-tensor theories derived via dimensional regularization with a conformal rescaling of the metric, we study the stability of planar black holes (BHs) whose horizons are described by two-dimensional compact Einstein…

General Relativity and Quantum Cosmology · Physics 2025-10-02 Antonio De Felice , Shinji Tsujikawa

We study scalar and electromagnetic perturbations of a family of nonsingular nonrotating black hole spacetimes that are solutions in a large class of conformally invariant theories of gravity. The effective potential for scalar…

General Relativity and Quantum Cosmology · Physics 2017-09-22 Bobir Toshmatov , Cosimo Bambi , Bobomurat Ahmedov , Zdeněk Stuchlík , Jan Schee

The theory of f(R)-gravity is one of the theories of modified Einstein gravity. The vacuum solution, on the other hand, of the field equation is the solution for black hole geometry. We establish here an asymptotically flat rotating black…

General Relativity and Quantum Cosmology · Physics 2022-11-07 Arghya Ranjan Das , Banibrata Mukhopadhyay

Recently a new class of scalarized black holes in Einstein-Gauss-Bonnet (EGB) theories was discovered. What is special for these black hole solutions is that the scalarization is not due to the presence of matter, but {it is induced} by the…

General Relativity and Quantum Cosmology · Physics 2018-10-17 Jose Luis Blázquez-Salcedo , Daniela D. Doneva , Jutta Kunz , Stoytcho S. Yazadjiev
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