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In this paper, we investigate the motion of charged particles around the weakly magnetized Schwarzschild-like bumblebee black hole which has Lorentz symmetry breaking. Charged particles have curled orbits around the black hole which can…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Hai-Yang Zhang , Ya-Peng Hu , Yu-Sen An

Trajectories of charged particle in combined poloidal, toroidal magnetic field and rotation-induced unipolar electric field superposed in Schwarzschild background geometry have been investigated extensively in the context of accreting black…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Sujan Sengupta

The motion of a stellar compact object around a supermassive black hole can be approximated by the motion of a spinning test particle. The equations of motion describing such systems are in general non-integrable, and therefore, chaotic…

General Relativity and Quantum Cosmology · Physics 2019-03-06 Georgios Lukes-Gerakopoulos

On a particle moving with variable acceleration in the flat space-time affects the self-force due to outgoing radiation. The gravitational fields bring an additional contribution to self-force due to scattering waves on the curved…

General Relativity and Quantum Cosmology · Physics 2021-06-22 Nail Khusnutdinov

Rapidly rotating bodies moving in curved space-time experience the so-called spin-curvature force, which becomes important for the motion of compact objects in gravitational-wave inspirals. As a first approximation, this effect is captured…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Vojtěch Witzany , Gabriel Andres Piovano

We study the motion of a charged test particle in the spacetime with a spherically symmetric black hole which is immersed in a monopole magnetic field. We show that the radial motion of the charged test particle is governed by completely…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Ken-ichi Nakao , Yota Endo , Hideki Ishihara , Kenta Matsuo , Kensuke Sueto , Koudai Ueda , Hirotaka Yoshino

We investigate the particle motion around a Schwarzschild black hole immersed in a swirling Bertotti-Robinson-Bonnor-Melvin background. This spacetime provides a physically well-motivated framework for studying how the two different…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Wenbin Li , Yu-Qi Lei , Xian-Hui Ge

Considering the self force and radiation due to a small body in orbit (especially aperiodic) around a black hole, this paper defines a decomposition of the source into a sum over the shape preserving periodic motions of extended objects…

General Relativity and Quantum Cosmology · Physics 2013-08-02 Barak Kol

Point charge, radially moving in the vicinity of a black hole is considered. Electromagnetic field in wave zone and in the small neighbourhood of the charge is calculated. Numerical results of the calculation of the spectrum of…

General Relativity and Quantum Cosmology · Physics 2022-11-10 S. O. Komarov , A. K. Gorbatsievich , A. S. Garkun , G. V. Vereshchagin

A compact object moving on a quasicircular orbit about a Schwarzschild black hole gradually spirals inward due to the dissipative action of its gravitational self-force. But in addition to driving the inspiral, the self-force has a…

General Relativity and Quantum Cosmology · Physics 2014-10-24 Adam Pound

We generalize to the Kerr spacetime existing self-force results on tidal invariants for particles moving along circular orbits around a Schwarzschild black hole. We obtain linear-in-mass-ratio corrections to the quadratic and cubic…

General Relativity and Quantum Cosmology · Physics 2018-09-26 Donato Bini , Andrea Geralico

We calculate the gravitational self force acting on a pointlike particle of mass $\mu$, set in a circular geodesic orbit around a Schwarzschild black hole. Our calculation is done in the Lorenz gauge: For given orbital radius, we first…

General Relativity and Quantum Cosmology · Physics 2010-08-30 Leor Barack , Norichika Sago

A scalar charged particle moving in a curved background spacetime will emit a field affecting its own motion; the resolving of this resulting motion is often referred to as the self-force problem. This also serves as a toy model for the…

General Relativity and Quantum Cosmology · Physics 2022-09-28 Anna Heffernan

The dynamics of charged particles around magnetized black holes provide valuable insights into astrophysical processes near compact objects. In this work, we investigate the bound and unbound trajectories of charged particles in the…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Uktamjon Uktamov , Mohsen Fathi , Javlon Rayimbaev

We present a numerical code for calculating the local gravitational self-force acting on a pointlike particle in a generic (bound) geodesic orbit around a Schwarzschild black hole. The calculation is carried out in the Lorenz gauge: For a…

General Relativity and Quantum Cosmology · Physics 2015-05-15 Leor Barack , Norichika Sago

The geodesic equations are considered in static mass imbedded in a uniform electromagnetic field. Due to electromagnetic field horizon shrinks and geodesics are modified. By analyzing the behavior of the effective potentials for the…

General Physics · Physics 2019-07-24 A. Al-Badawi , M. Q. Owaidat , S. Tarawneh

We describe the possible scenarios for the evolution of a thin spherically symmetric self-gravitating phantom shell around the Schwarzschild black hole. The general equations describing the motion of the shell with a general form of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Victor Berezin , Vyacheslav Dokuchaev , Yury Eroshenko , Alexei Smirnov

A numerical study of the evolution of a massless scalar field in the background of rotating black holes is presented. First, solutions to the wave equation are obtained for slowly rotating black holes. In this approximation, the background…

General Relativity and Quantum Cosmology · Physics 2009-12-30 W. Krivan , P. Laguna , P. Papadopoulos

We consider the motion of a point particle in a stationary spacetime under the influence of a scalar, electromagnetic or gravitational self-force. We show that the conservative piece of the first-order self-force gives rise to Hamiltonian…

General Relativity and Quantum Cosmology · Physics 2023-02-15 Francisco M. Blanco , Éanna É. Flanagan

In this paper we study the dynamics of trajectory of a spinning particle in a Schwarzschild spacetime involving a global monopole. We set up the equations of motion and find three types of trajectories. We study the conditions that a…

General Relativity and Quantum Cosmology · Physics 2014-09-01 Qihong Huang , Juhua Chen , Yongjiu Wang