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In this letter, we discuss how thermal fluctuations can effect the stability of (generally) charged black holes when close to certain critical points. Our novel treatment utilizes the black hole area spectrum (which is, for definiteness,…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Gilad Gour , A. J. M. Medved

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

Recently, ultracompact objects have been found to be susceptible to a new nonlinear instability, known as the light-ring instability, triggered by stable light rings. This discovery raises concerns about the viability of these objects as…

General Relativity and Quantum Cosmology · Physics 2024-03-12 Guangzhou Guo , Peng Wang , Yupeng Zhang

We present a generalization of previous results regarding the stability under gravitational perturbations of nakedly singular super extreme Kerr spacetime and Kerr black hole interior beyond the Cauchy horizon. To do so we study solutions…

General Relativity and Quantum Cosmology · Physics 2012-08-10 Gustavo Dotti , Reinaldo J. Gleiser , Ignacio F. Ranea-Sandoval

The quasi-normal mode (QNM) spectrum of black holes is unstable under small perturbation of the potential and has observational consequences in time signals. Such signals might be experimentally difficult to observe and probing this…

General Relativity and Quantum Cosmology · Physics 2023-09-14 Theo Torres

We analyse the stability of the inner horizon of the quantum-corrected black hole which is proposed in loop quantum gravity as the exterior of the quantum Oppenheimer-Snyder and Swiss Cheese models. It is shown that the flux and energy…

General Relativity and Quantum Cosmology · Physics 2024-05-16 Li-Ming Cao , Long-Yue Li , Liang-Bi Wu , Yu-Sen Zhou

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

We study stability of a circular orbit of a spinning test particle in a Kerr spacetime. We find that some of the circular orbits become unstable in the direction perpendicular to the equatorial plane, although the orbits are still stable in…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Shingo Suzuki , Kei-ichi Maeda

In a draining rotating fluid flow background, surface perturbations behave as a scalar field on a rotating effective black hole spacetime. We propose a new model for the background flow which takes into account the varying depth of the…

General Relativity and Quantum Cosmology · Physics 2015-06-08 Mauricio Richartz , Angus Prain , Stefano Liberati , Silke Weinfurtner

A long-standing puzzle in the study of black-hole accretion concerns the presence or not of thermal instability. Classical theory predicts the encircling accretion disk is unstable, as do some self-consistent MHD simulations of the flow.…

High Energy Astrophysical Phenomena · Physics 2017-03-02 Johnathan Ross , Henrik Latter , Michael Tehranchi

Thermal instabilities can cause a radiative shock to oscillate, thereby modulating the emission from the post-shock region. The mode frequencies are approximately quantised in analogy to those of a vibrating pipe. The stability properties…

Astrophysics · Physics 2009-11-07 Curtis J. Saxton

The effective theory of adiabatic fluctuations around arbitrary Friedmann-Robertson-Walker backgrounds - both expanding and contracting - allows for more than one way to obtain scale-invariant two-point correlations. However, as we show in…

High Energy Physics - Theory · Physics 2015-05-27 Daniel Baumann , Leonardo Senatore , Matias Zaldarriaga

It has been shown that the mass of the scalar field in the charged stringy black hole is never able to generate a potential well outside the event horizon to trap the superradiant modes. This is to say that the charged stringy black hole is…

General Relativity and Quantum Cosmology · Physics 2014-12-05 Ran Li , Junkun Zhao

The stability conditions for coordinate gauge independent perturbations of brane-worlds are analyzed. It is shown that, these conditions lead to the Einstein-Hilbert dynamics and to a confined gauge potential, independently of models and…

High Energy Physics - Theory · Physics 2007-05-23 M. D. Maia , E. M. Monte

We study analytically the superradiant instability properties of the hydrodynamic vortex model, an asymptotically flat acoustic geometry which, like the spinning Kerr black-hole spacetime, possesses an effective ergoregion. In particular,…

General Relativity and Quantum Cosmology · Physics 2024-01-03 Shahar Hod

It was recently pointed out that the fundamental mode of the Regge-Wheeler effective potential is unstable against an insignificant Gaussian metric perturbation, which, in turn, might substantially challenge the black hole spectroscopy.…

General Relativity and Quantum Cosmology · Physics 2026-02-06 Shui-Fa Shen , Guan-Ru Li , Ramin G. Daghigh , Jodin C. Morey , Michael D. Green , Qiyuan Pan , Cheng-Gang Shao , Wei-Liang Qian

The wide deployment of renewable generation and the gradual decrease in the overall system inertia make modern power grids more vulnerable to transient instabilities and unacceptable frequency fluctuations. Time-domain simulation-based…

Optimization and Control · Mathematics 2020-03-03 Dongchan Lee , Liviu Aolaritei , Thanh Long Vu , Konstantin Turitsyn

We formulate the Dirac equation for a massive neutral spin-half particle on a rotating black hole spacetime, and we consider its (quasi)bound states: gravitationally-trapped modes which are regular across the future event horizon. These…

General Relativity and Quantum Cosmology · Physics 2015-11-13 Sam R Dolan , David Dempsey

Reissner--Nordstr\"om black holes have two static regions: $r > \ro$ and $0 < r < \ri$, where $\ri$ and $\ro$ are the inner and outer horizon radii. The stability of the exterior static region has been established long time ago. In this…

General Relativity and Quantum Cosmology · Physics 2011-03-28 Gustavo Dotti , Reinaldo J. Gleiser

Non-singular horizonless ultracompact objects provide a simple resolution to the black holes singularity problem. It has been shown that, if these objects are compact enough to exhibit the presence of the light-ring required to mimic the…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Francesco Di Filippo