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In this paper we study the stability and quasi-normal modes of scalar perturbations of black holes. The static charged black hole considered here is a solution to Born-Infeld electrodynamics coupled to gravity. We conclude that the black…

High Energy Physics - Theory · Physics 2016-04-27 Sharmanthie Fernando , Chad Holbrook

Attempts to find black hole microstates using the Hamiltonian phase space approach have been made on the Schwarzschild spacetime. Since the Schwarzschild spacetime is also in the larger family of the Kerr spacetimes, and both are…

General Relativity and Quantum Cosmology · Physics 2021-08-13 M. R. Setare , M. Koohgard

We use the continued fraction method to determine the eigenfrequencies associated with a scalar field around a Kerr-like black hole. The Kerr-like metric considered in this article is a subclass of the general parametrization of…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Pedro Henrique Croti Siqueira , Maurício Richartz

We study the stability under scalar perturbations, and we compute the quasinormal modes of the Einstein-Born-Infeld dilaton spacetime in 1+3 dimensions. Solving the full radial equation in terms of hypergeometric functions, we provide an…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Kyriakos Destounis , Grigoris Panotopoulos , Ángel Rincon

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

We investigate scalar field perturbations of the hairy black holes involved with spontaneous symmetry breaking of the global U(1) symmetry in Einstein-scalar-Gauss-Bonnet theory for asymptotically flat spacetimes. We consider the mechanism…

High Energy Physics - Theory · Physics 2024-09-04 Young-Hwan Hyun , Boris Latosh , Miok Park

It has recently been proved numerically that spinning black holes in Einstein-scalar theories which are characterized by a non-minimal negative coupling of the scalar field to the Gauss-Bonnet invariant of the curved spacetime may develop…

General Relativity and Quantum Cosmology · Physics 2020-11-04 Shahar Hod

Th spontaneous scalarization of the Einstein-Euler-Heisenberg (EEH) black hole is performed in the EEH-scalar theory by introducing an exponential scalar coupling (with $\alpha$ coupling constant) to the Maxwell term.Here, the EEH black…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Lina Zhang , De-Cheng Zou , Yun Soo Myung

We consider the Einstein-Maxwell-Klein-Gordon equations for a spherically symmetric scalar field scattering off a Reissner-Nordstr\"om black hole in asymptotically flat spacetime. The equations are solved numerically using a hyperboloidal…

General Relativity and Quantum Cosmology · Physics 2016-12-20 Olaf Baake , Oliver Rinne

We perform the stability analysis for the scalarized charged black holes obtained from Einstein-Maxwell-conformally coupled scalar (EMCS) theory by employing the radial perturbations. The targeting black holes include a single branch of…

General Relativity and Quantum Cosmology · Physics 2020-09-16 De-Cheng Zou , Yun Soo Myung

We construct scalarized planar charged black holes in Einstein-Maxwell-scalar (EMS) theory with the presence of a negative cosmological constant. Domains of existence of black hole solutions are given in term of nonminimally coupling…

General Relativity and Quantum Cosmology · Physics 2023-07-19 Chatchai Promsiri , Takol Tangphati , Ekapong Hirunsirisawat , Supakchai Ponglertsakul

These lecture notes are concerned with linear stability of the non-extreme Kerr geometry under perturbations of general spin. After a brief review of the Kerr black hole and its symmetries, we describe these symmetries by Killing fields and…

General Relativity and Quantum Cosmology · Physics 2021-09-15 Felix Finster

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

The three dimensional black hole solution of Einstein equations with negative cosmological constant coupled to a conformal scalar field is proved to be unstable against linear circularly symmetric perturbations.

General Relativity and Quantum Cosmology · Physics 2009-10-31 Cristian Martinez

Quadratic scale-invariant gravity non minimally coupled to a scalar field provides a competitive model for inflation, characterized by the transition from an unstable to a stable fixed point, both characterized by constant scalar field…

General Relativity and Quantum Cosmology · Physics 2023-01-27 Simon Boudet , Massimiliano Rinaldi , Samuele Marco Silveravalle

Black holes provide a natural laboratory to study particle physics and astrophysics. When black holes are surrounded by matter fields, there will be plenty of phenomena which can have observational consequences, from which we can learn…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Zhen Li

An exact Kerr-like solution has been obtained recently in Einstein-bumblebee gravity model where Lorentz symmetry is spontaneously broken. In this paper, we investigate the superradiant instability of the Kerr-like black hole under the…

General Relativity and Quantum Cosmology · Physics 2021-12-15 Rui Jiang , Rui-Hui Lin , Xiang-Hua Zhai

It is shown that the Kerr solution exists in the generalized hybrid metric-Palatini gravity theory and that for certain choices of the function $f(R,\mathcal R)$ that characterizes the theory, the Kerr solution can be stable against…

General Relativity and Quantum Cosmology · Physics 2020-03-03 João Luís Rosa , José P. S. Lemos , Francisco S. N. Lobo

We consider the stability of six-dimensional singly rotating Myers-Perry black holes under massive scalar perturbations. Using Leaver's continued fraction method, we compute the quasinormal modes of the massive scalar fields. All modes…

General Relativity and Quantum Cosmology · Physics 2023-07-11 Kai-Peng Lu , Wenbin Li , Jia-Hui Huang

We study the stability of new neutral and electrically charged four-dimensional black hole solutions of Einstein's equations with a positive cosmological constant and conformally coupled scalar field. The neutral black holes are always…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Tom J. T. Harper , Paul A. Thomas , Elizabeth Winstanley , Phil M. Young
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