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In this paper we analyze the frequency shifts of the light emitted by particles describing stable circular geodesics around a static black hole immersed in an external magnetic field of arbitrary strength. This system is represented by the…

General Relativity and Quantum Cosmology · Physics 2021-07-21 L. A. López , Nora Bretón

Violation of the Maldacena-Shenker-Stanford (MSS) chaos bound has been observed in various black hole spacetimes, but its physical origin remains unclear. In particular, it is uncertain whether these violations arise from modifications of…

High Energy Physics - Theory · Physics 2026-05-27 Terkaa Victor Targema , Kazuharu Bamba , Usman Zafar

The work on black holes immersed in external stationary magnetic fields is reviewed in both test-field approximation and within exact solutions. In particular we pay attention to the effect of the expulsion of the flux of external fields…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Jiri Bicak , Tomas Ledvinka

We describe and characterize rigorously the chaotic behavior of the sine-Gordon equation. The existence of invariant manifolds and the persistence of homoclinic orbits for a perturbed sine--Gordon equation are established. We apply a…

chao-dyn · Physics 2007-05-23 Vassilios M. Rothos

Increasing attention has been recently devoted to the study of Kantowski-Sachs spacetime as a way to explore the interior of a Schwarzschild black hole. In this work, we construct a Hamiltonian formulation for polar perturbations of this…

General Relativity and Quantum Cosmology · Physics 2025-04-24 Guillermo A. Mena Marugán , Andrés Mínguez-Sánchez

In this paper, we consider charge fluctuations of a Schwarzschild black hole of mass $M$ in thermal equilibrium with a plasma consisting of photons, electrons, and positrons confined inside a cavity . The final result is astonishingly…

General Relativity and Quantum Cosmology · Physics 2023-03-01 Marcelo Schiffer

We study the instability of Schwarzschild black holes and the appearance of scalarized solutions in Einstein-scalar-Gauss-Bonnet gravity performing a time-domain analysis in a perturbative scheme. First we consider a quadratic coupling…

General Relativity and Quantum Cosmology · Physics 2021-12-23 Fabrizio Corelli

We study the effects of an external magnetic field, which is assumed to be uniform at infinity, on the marginally stable circular motion of charged particles in the equatorial plane of a rotating black hole. We show that the magnetic field…

General Relativity and Quantum Cosmology · Physics 2011-05-23 A. N. Aliev , N. Ozdemir

We briefly analyzed the equation of state and critical points of the quantum-corrected Schwarzschild-like black hole and used the Melnikov method to study its thermal chaotic behavior in the extended phase space of flat, closed, and open…

General Relativity and Quantum Cosmology · Physics 2024-11-05 Lei You , Rui-Bo Wang , Yu-Cheng Tang , Jian-Bo Deng , Xian-Ru Hu

We take into account the dynamics of a complete third post-Newtonian conservative Hamiltonian of two spinning black holes, where the orbital part arrives at the third post-Newtonian precision level and the spin-spin part with the spin-orbit…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Guoqing Huang , Xiaoting Ni , Xin Wu

We show how semiclassical black holes can be reinterpreted as an effective geometry, composed of a large ensamble of horizonless naked singularities (eventually smoothed at the Planck scale). We call this new items {\it frizzyballs}, which…

General Relativity and Quantum Cosmology · Physics 2015-10-22 Andrea Addazi

It is well-known that the perturbations of Schwarzschild black holes are governed by a wave equation with some effective potential. We consider perturbations of a gas in a tube called Laval nozzle, which is narrow in the middle and has a…

High Energy Physics - Theory · Physics 2008-11-26 E. Abdalla , R. A. Konoplya , A. Zhidenko

Black holes can be electromagnetically charged, or carry vector charge from new fundamental fields. Their response to small fluctuations is of paramount importance to study gravitational wave generation. However, the usual even and odd…

General Relativity and Quantum Cosmology · Physics 2023-10-25 David Pereñiguez

Considering the geometry of Reissner-Nordstr\"{o}m (RN) black hole immersed in magnetic field we have studied the dynamics of neutral and charged particles. A collision of particles in the inner stable circular orbit is considered and the…

General Relativity and Quantum Cosmology · Physics 2015-12-18 Bushra Majeed , Mubasher Jamil , Saqib Hussain

We study linear-perturbation equations for the two-body system of a charged dilaton black hole, of which dilaton coupling constant is $\alpha$, and a static particle with mass $m$, electric charge $q$, and dilatonic charge $\beta m$. We…

General Relativity and Quantum Cosmology · Physics 2024-03-21 Nahomi Kan , Kiyoshi Shiraishi

The dynamics of a charged particle moving around a slowly rotating Kerr black hole in the presence of an external magnetic field is investigated. We are interested to explore the conditions under which the charged particle can escape from…

General Relativity and Quantum Cosmology · Physics 2014-12-12 Saqib Hussain , Ibrar Hussain , Mubasher Jamil

We analyze the motion of a {\it massless} and {\it chargeless} particle very near to the event horizon. It reveals that the radial motion has exponential growing nature which indicates that there is a possibility of inducing chaos in the…

General Relativity and Quantum Cosmology · Physics 2018-12-10 Surojit Dalui , Bibhas Ranjan Majhi , Pankaj Mishra

The chaotic dissipative dynamics of a charged particle in the field of three plane waves is theoretically (Melnikov's method) and numerically (Lyapunov exponents) investigated. In particular, the effectiveness of one of such waves in…

Chaotic Dynamics · Physics 2007-05-23 Ricardo Chacon

Already in the cornerstone works on astrophysical black holes published as early as in 1970s, Ruffini and collaborators have revealed potential importance of an intricate interaction between the effects of strong gravitational and…

General Relativity and Quantum Cosmology · Physics 2023-06-14 Vladimir Karas , Zdenek Stuchlik

We investigate chaos in the dynamics of massless particles near the horizon of static spherically symmetric black holes in two well-motivated models of $f(R)$ gravity. In both these models, we probe chaos in the particle trajectories (under…

General Relativity and Quantum Cosmology · Physics 2024-12-17 Surajit Das , Surojit Dalui , Rickmoy Samanta