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Numerical evaluation of the self-force on a point particle is made difficult by the use of delta functions as sources. Recent methods for self-force calculations avoid delta functions altogether, using instead a finite and extended…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Ian Vega , Barry Wardell , Peter Diener

A difficulty with previous treatments of the gravitational self-force is that an explicit formula for the force is available only in a particular gauge (Lorenz gauge), where the force in other gauges must be found through a transformation…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Samuel E. Gralla

The self-force is the leading method in modelling waveforms for extreme mass ratio inspirals, a key target of ESA's future space-based gravitational wave detector LISA. In modelling these systems, one approximates the smaller body as a…

General Relativity and Quantum Cosmology · Physics 2022-09-13 Anna Heffernan

In this, the first of two companion papers, we present a method for finding the gravitational self-force in a modified radiation gauge for a particle moving on a geodesic in a Schwarzschild or Kerr spacetime. An extension of an earlier…

General Relativity and Quantum Cosmology · Physics 2014-10-23 Tobias S. Keidl , Abhay G. Shah , John L. Friedman , Dong-Hoon Kim , Larry R. Price

We calculate the self-force of a point charge in rectilinear motion, using a local method and compare our results with those from the literature.

Classical Physics · Physics 2018-12-11 G. Vaman

We consider the self-force on a charged particle moving in a curved spacetime with a background electromagnetic field, extending previous studies to situations in which gravitational and electromagnetic perturbations are comparable. The…

General Relativity and Quantum Cosmology · Physics 2014-10-22 Thomas M. Linz , John L. Friedman , Alan G. Wiseman

The force acting on the charged particle moving along an arbitrary trajectory near the straight cosmic string is calculated. This interaction leads to the scattering of particles by the cosmic string. The scattering cross section is…

General Relativity and Quantum Cosmology · Physics 2010-04-06 N R Khusnutdinov

This is the third in a series of papers aimed at developing a practical time-domain method for self-force calculations in Kerr spacetime. The key elements of the method are (i) removal of a singular part of the perturbation field with a…

General Relativity and Quantum Cosmology · Physics 2013-05-13 Sam R. Dolan , Leor Barack

Several noncovariant formulations of the electromagnetic self-force of extended charged bodies, as have been developed in the context of classical models of charged particles, are compared. The mathematical equivalence of the various…

Classical Physics · Physics 2015-06-15 P. W. Smorenburg , L. P. J. Kamp , O. J. Luiten

Accurately modeling astrophysical extreme-mass-ratio-insprials requires calculating the gravitational self-force for orbits in Kerr spacetime. The necessary calculation techniques are typically very complex and, consequently, toy…

General Relativity and Quantum Cosmology · Physics 2015-02-04 Niels Warburton

Classical electrodynamics in flat 3+1 space-time has a very special retarded propagator delta(x^2) localized on the light cone, so that a particle does not interact with its past field. However, this is an exception, and in flat…

High Energy Physics - Theory · Physics 2013-05-30 Edward Shuryak , Ho-Ung Yee , Ismail Zahed

The gravitational self-force acting on a particle orbiting a massive central body has thus far been computed for vacuum spacetimes involving a black hole. In this work we continue an ongoing effort to study the self-force in nonvacuum…

General Relativity and Quantum Cosmology · Physics 2016-04-13 Soichiro Isoyama , Raissa F. P. Mendes , Eric Poisson

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 analyze the quantum phenomenon arising from the interaction of a spinless charged particle with a rotating cosmic string, under the action of a static and uniform magnetic field parallel to the string. We calculate the energy levels of…

High Energy Physics - Theory · Physics 2014-08-01 Celio R. Muniz , Valdir B. Bezerra , Marcony S. Cunha

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

We present two results in the treatment of self-force of accelerating bodies. If the total force on an extended rigid object is calculated from the change of momentum summed over planes of simultaneity of successive rest frames, then we…

Classical Physics · Physics 2018-10-08 Andrew Steane

The analysis of the EM radiation from a single charge shows that the radiated power depends on the retarded acceleration of the charge. Therefore, for consistency, an accelerated charge, free from the influence of external forces, should…

Accelerator Physics · Physics 2015-06-26 Reuven Ianconescu , L. P. Horwitz

We compute the gravitational self-force (or ``radiation reaction'' force) acting on a particle falling radially into a Schwarzschild black hole. Our calculation is based on the ``mode-sum'' method, in which one first calculates the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 L. Barack , C. O. Lousto

We derive a new regularization method for the calculation of the (massless) scalar self force in curved spacetime. In this method, the scalar self force is expressed in terms of the difference between two retarded scalar fields: the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Eran Rosenthal

Bodies coupled to electromagnetic or other long-range fields are subject to radiation reaction and other effects in which their own fields can influence their motion. Self-force phenomena such as these have been poorly understood for…

General Relativity and Quantum Cosmology · Physics 2018-06-27 Abraham I. Harte , Peter Taylor , Éanna É. Flanagan
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