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The radiated energy and angular momentum from a point mass on a hyperbolic-like orbit about a Schwarzschild black hole are computed for the first time in the framework of the first-order self-force theory. The analytical expressions for the…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Andrea Geralico

In 1892 H.A. Lorentz started the search for a classical equation of motion for pointlike charged particles that takes into account the radiation reaction force. This search culminated in the Lorentz-Abraham-Dirac equation of motion, which…

Classical Physics · Physics 2007-05-23 Marijan Ribaric , Luka Sustersic

This work deals with the motion of a radially falling star in Schwarzschild geometry and correctly identifies radiation reaction terms by the perturbative method. The results are: i) identification of all terms up to first order in…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Alessandro D. A. M. Spallicci , Sofiane Aoudia

We study motion of a charged particle in the vicinity of a weakly magnetized Schwarzschild black hole and focus on its bounded trajectories lying in the black hole equatorial plane. If the Lorentz force, acting on the particle, is directed…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Valeri P. Frolov , Andrey A. Shoom

We investigate the motion of a wave packet of a charged scalar particle linearly accelerated by a static potential in quantum electrodynamics. We calculate the expectation value of the position of the charged particle after the acceleration…

Quantum Physics · Physics 2008-11-26 Atsushi Higuchi , Giles D. R. Martin

We consider the motion of a particle in the geometry of a Schwarzschild-like black hole embedded in a dark matter (DM) halo with Dehnen type density profile and calculate the orbital periods along with the evolution of the semi-latus rectum…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Amjad Ashoorioon , Roberto Casadio , Khadije Jafarzade , Mohammad B. Jahani Poshteh , Orlando Luongo

Photon emission from a uniformly accelerated charge is among the most mysterious physical phenomena. Theories based on the Lorentz-Abraham-Dirac equation mostly conclude that a uniformly accelerated point charge cannot feel radiation…

Classical Physics · Physics 2021-07-02 Teyoun Kang , Adam Noble , Samuel R. Yoffe , Dino A. Jaroszynski , Min Sup Hur

We develop a new method of computing radiation reaction for a point particle interacting with massless scalar and vector fields in curved space-time. It is based on the analysis of field Green's functions with both points lying on the…

General Relativity and Quantum Cosmology · Physics 2010-12-15 Dmitri V. Gal'tsov , Pavel Spirin

A charge-free, point particle of infinitesimal mass orbiting a Kerr black hole is known to move along a geodesic. When the particle has a finite mass or charge, it emits radiation which carries away orbital energy and angular momentum, and…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yasushi Mino

We consider a self-action problem for an electric charge arbitrarily moving in flat spacetime of three dimensions. Its electromagnetic field satisfies the Maxwell equations in Minkowski space of three dimensions. In this space…

Mathematical Physics · Physics 2012-07-24 Yurij Yaremko

The aim of this paper is to highlight a recently proposed method for the treatment of classical radiative effects, in particular radiation reaction, via effective field theory methods. We emphasize important features of the method, and in…

High Energy Physics - Theory · Physics 2015-01-22 Ofek Birnholtz , Shahar Hadar , Barak Kol

From the expression for the electromagnetic field in the neighborhood of a point charge we determine the rate of electromagnetic momentum flow, calculated using the Maxwell stress tensor, across a surface surrounding the charge. From that…

Classical Physics · Physics 2017-04-20 Ashok K. Singal

In this article we analyze the behavior of a non-relativistic spinless particle near the event horizon of a Schwarzschild-like black hole. In this way, the Schr\"odinger covariant equation that describes the particle is obtained from the…

General Relativity and Quantum Cosmology · Physics 2023-12-12 Ronni Amorim , Vinicius Rispoli , Sérgio Ulhoa , Kayo Araújo

Using physical arguments, I derive the physically correct equations of motion for a classical charged particle from the Lorentz-Abraham-Dirac equations (LAD) which are well known to be physically incorrect. Since a charged particle can…

Classical Physics · Physics 2009-11-13 Fritz Rohrlich

Analytical solutions of Maxwell equations around black hole immersed in external uniform magnetic field in the background of the Kehagias-Sfetsos (KS) asymptotically flat black hole solution of Ho\v{r}ava-Lifshitz gravity have been found.…

General Relativity and Quantum Cosmology · Physics 2011-03-18 Ahmadjon Abdujabbarov , Bobomurat Ahmedov , Abdullo Hakimov

We derive the Lorentz self force for an arbitrarily moving charged particle via averaging the retarded fields. The derivation is simple and at the same time pedagogically accessible. We obtain the radiation reaction for a charged particle…

Classical Physics · Physics 2015-06-19 Asrarul Haque

We study the electromagnetic fields of an arbitrarily moving charged particle and the radiation reaction on the charged particle using a novel approach. We first show that the fields of an arbitrarily moving charged particle in an inertial…

Classical Physics · Physics 2009-10-30 Abhinav Gupta , T. Padmanabhan

This is the second of two companion papers on computing the self-force in a radiation gauge; more precisely, the method uses a radiation gauge for the radiative part of the metric perturbation, together with an arbitrarily chosen gauge for…

General Relativity and Quantum Cosmology · Physics 2011-03-22 Abhay Shah , Tobias Keidl , John Friedman , Dong-Hoon Kim , Larry Price

We present a theoretical study of the magnetic field generated by a toroidal current loop situated in the equatorial plane of a non-rotating Schwarzschild black hole, based on the dynamics of charged particles. Using the exact general…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Martin Kološ , David Kofroň

Working within the framework of the classical theory of electrodynamics, we derive an exact mathematical solution to the problem of self-field (or radiation reaction) of an accelerated point-charge traveling in free space. We obtain…

Classical Physics · Physics 2018-09-18 Masud Mansuripur
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