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The search for Noether point symmetries for non-relativistic charged particle motion is reduced to the solution for a set of two coupled, linear partial differential equations for the electromagnetic field. These equations are completely…

Classical Physics · Physics 2007-05-23 F. Haas

Through detection by low gravitational wave space interferometers, the capture of stars by supermassive black holes will constitute a giant step forward in the understanding of gravitation in strong field. The impact of the perturbations on…

General Relativity and Quantum Cosmology · Physics 2009-10-01 A. Spallicci , S. Aoudia

It is shown that the force in relativistic mechanics is not only the cause of acceleration of particle relative to an inertial frame of reference, but also the cause of change of the course of time along the particle's trajectory. Therein…

General Physics · Physics 2007-05-23 V. P. Oleinik

We consider the modification of a single particle Schr\"{o}dinger equation by the inclusion of an additional gravitational self-potential term which follows from the prescription that the' mass-density'that enters this term is given by $m…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Vikram Soni

In this paper we obtain the expression for the self-force in the model with the Lagrangian containing additional terms, quadratic in Maxwell tensor derivatives (so-called Bopp-Podolsky electrodynamics). Features of this force are analyzed…

High Energy Physics - Theory · Physics 2013-12-23 Alexei E. Zayats

Radial fall has historically played a momentous role. It is one of the most classical problems, the solutions of which represent the level of understanding of gravitation in a given epoch. A {\it gedankenexperiment} in a modern frame is…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Alessandro D. A. M. Spallicci , Patxi Ritter

We compute the scattering angle for a scalar neutral probe undergoing unbound motion around a Topological Star, including self-force effects. Moreover we identify the `electro-magnetic' source of the background as Papapetrou Field…

General Relativity and Quantum Cosmology · Physics 2025-06-06 Massimo Bianchi , Donato Bini , Giorgio Di Russo

The motion of a small compact object in a curved background spacetime deviates from a geodesic due to the action of its own field, giving rise to a self-force. This self-force may be calculated by integrating the Green function for the wave…

General Relativity and Quantum Cosmology · Physics 2013-11-06 Marc Casals , Sam Dolan , Adrian C. Ottewill , Barry Wardell

The motion of matter immersed in a radiation field is affected by radiation drag, as a result of scattering or absorption and re-emission. The resulting friction-like drag, also known as Poynting-Robertson effect, has been recently studied…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Maurizio Falanga , Andrea Geralico , Luigi Stella

A model for the motion of a charged particle in the vacuum is presented which, although purely classical in concept, yields Schrodinger's equation as a solution. It suggests that the origins of the peculiar and nonclassical features of…

Quantum Physics · Physics 2007-05-23 Mark P. Davidson

The energy-impulse flow of electromagnetic field, produced by the arbitrary moving charged particle, through the sphere of large radius is calculated. The result formulae are used in problem of radiation produced by hyperbolically moving…

Optics · Physics 2013-01-21 V. V. Lidsky

The theory starts from a tentative interpretation of gravity as Archimedes' thrust exerted on matter at the scale of elementary particles by an imagined perfect fluid ("ether"): the gravity acceleration is expressed by a formula in which…

General Physics · Physics 2007-09-05 Mayeul Arminjon

In recent times there has been a renewed interest in the force experienced by a charged-particle with anomalous magnetic moment in the presence of external fields. In this paper we address the basic question of the force experienced by a…

Classical Physics · Physics 2007-05-23 Sameen Ahmed Khan , Modesto Pusterla

A point particle of mass $\mu$ moving on a geodesic creates a perturbation $h_{ab}$, of the spacetime metric $g_{ab}$, that diverges at the particle. Simple expressions are given for the singular $\mu/r$ part of $h_{ab}$ and its distortion…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Steven Detweiler

Motion of massive test particles in the nonvacuum spherically symmetric radiating Vaidya spacetime is investigated, allowing for physical interaction of the particles with the radiation field in terms of which the source energy-momentum…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Andrea Geralico , Robert T. Jantzen , Oldrich Semerák

We consider a hamiltonian system on the real line, consisting of real scalar field $\phi(x,t)$ and point particle with trajectory $y(t)$. The dynamics of this system is defined by the system of two equations: wave equation for the field,…

Mathematical Physics · Physics 2016-11-03 V. A. Malyshev , S. A. Pirogov

The power radiated by a moving charge is given by Larmor's formula which can be derived by integrating the Li\'enard-Wiechert potential over the whole past history of the charge. However, extracting the same result from the…

Classical Physics · Physics 2016-10-11 Sofiane Faci , José A. Helayël-Neto

The motion of a radiating point particle can be represented by a series of geodesics whose "constants" of motion evolve slowly with time. The evolution of these constants of motion can be determined directly from the self-force equations of…

General Relativity and Quantum Cosmology · Physics 2023-11-16 Alexander M. Grant , Jordan Moxon

We present a method for calculating the self-force (the ``radiation reaction force'') acting on a charged particle moving in a strong field orbit in black hole spacetime. In this approach, one first calculates the contribution to the…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Leor Barack , Amos Ori

We calculate the self-force acting on a particle with scalar charge moving on a generic geodesic around a Schwarzschild black hole. This calculation requires an accurate computation of the retarded scalar field produced by the moving…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Roland Haas