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Prescriptions for numerical self-force calculations have traditionally been designed for frequency-domain or (1+1) time-domain codes which employ a mode decomposition to facilitate in carrying out a delicate regularization scheme. This has…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Ian Vega , Peter Diener , Wolfgang Tichy , Steven Detweiler

We present the first application of the Poisson-Wiseman-Anderson method of matched expansions, to compute the self-force acting on a point particle moving in a curved spacetime. The method uses two expansions for the Green function, valid…

General Relativity and Quantum Cosmology · Physics 2009-07-09 Marc Casals , Sam R. Dolan , Adrian C. Ottewill , Barry Wardell

The self-force describes the effect of a particle's own gravitational field on its motion. While the motion is geodesic in the test-mass limit, it is accelerated to first order in the particle's mass. In this contribution I review the…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Eric Poisson

We compute the self-force on a scalar charge at rest in the spacetime of long throat. We consider arbitrary values of the mass of the scalar field and the constant of nonmnimal coupling of the scalar field to the curvature of spacetime. We…

General Relativity and Quantum Cosmology · Physics 2018-09-19 A. Popov , O. Aslan

Most self-force calculations rely, in one way or another, on representations of a particle's Detweiler- Whiting singular field. We present a simple method of calculating the singular field to high order in a local expansion in powers of…

General Relativity and Quantum Cosmology · Physics 2024-11-04 Patrick Bourg , Adam Pound , Samuel D. Upton , Rodrigo Panosso Macedo

We obtain the fields and electromagnetic self-force of a charge distributed on the surface of a sphere undergoing rigid motion at constant proper acceleration, where the charge distribution has axial symmetry about the direction of motion.…

Classical Physics · Physics 2018-09-28 Andrew Steane

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

We analyze the electrostatic self-energy of a point like electrically charged particle induced by a cosmic string in the context of gravity's rainbow, as well the electrostatic self-force on this particle. The possibility of the solution…

General Relativity and Quantum Cosmology · Physics 2020-01-08 L. C. N. Santos , V. B. Bezerra

We present a practical method for calculating the local gravitational self-force (often called ``radiation-reaction force'') for a pointlike particle orbiting a Schwarzschild black hole. This is an implementation of the method of {\it…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Leor Barack , Yasushi Mino , Hiroyuki Nakano , Amos Ori , Misao Sasaki

The electrostatic self-force on a point charge in cylindrical thin-shell space-times is interpreted as the sum of a $bulk$ field and a $shell$ field. The $bulk$ part corresponds to a field sourced by the test charge placed in a space-time…

General Relativity and Quantum Cosmology · Physics 2016-04-05 Emilio Rubín de Celis

We discuss the gravitational self-force on a particle in a black hole space-time. For a point particle, the full (bare) self-force diverges. It is known that the metric perturbation induced by a particle can be divided into two parts, the…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Hiroyuki Nakano , Norichika Sago , Misao Sasaki

The problem of determining the electromagnetic and gravitational ``self-force'' on a particle in a curved spacetime is investigated using an axiomatic approach. In the electromagnetic case, our key postulate is a ``comparison axiom'', which…

General Relativity and Quantum Cosmology · Physics 2011-08-17 Theodore C. Quinn , Robert M. Wald

In this paper we investigate the motion of small compact objects in non-vacuum spacetimes using methods from effective field theory in curved spacetime. Although a vacuum formulation is sufficient in many astrophysical contexts, there are…

General Relativity and Quantum Cosmology · Physics 2015-10-28 Peter Zimmerman

The problem of determining the radiation reaction force experienced by a scalar charge moving in flat spacetime is investigated. A consistent renormalization procedure is used, which exploits the Poincar\'e invariance of the theory.…

Classical Physics · Physics 2009-07-20 Yurij Yaremko

Considering two static, electrically charged, elementary particles, we demonstrate a possible way of proving that all known fundamental forces in the nature are the manifestations of the single, unique interaction. We re-define the gauging…

General Physics · Physics 2010-12-30 L. Neslusan

We consider the self-energy and the self-force for an electrically charged particle at rest in the wormhole space-time. We develop general approach and apply it to two specific profiles of the wormhole throat with singular and with smooth…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Nail R. Khusnutdinov , Ilya V. Bakhmatov

We examine the motion in Schwarzschild spacetime of a point particle endowed with a scalar charge. The particle produces a retarded scalar field which interacts with the particle and influences its motion via the action of a self-force. We…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Roland Haas , Eric Poisson

The literature features many instances of spacetimes containing two black holes held apart by a thin distribution of matter on the axis joining the holes. For all such spacetimes, the Einstein field equations are integrated with an…

General Relativity and Quantum Cosmology · Physics 2021-08-18 Michael LaHaye , Eric Poisson

The self-interaction for a static point charge in the space-time of a thin-shell wormhole constructed connecting two identical Schwarzschild geometries is calculated in a series expansion. The electrostatic self-force is evaluated…

General Relativity and Quantum Cosmology · Physics 2015-06-17 E. Rubín de Celis , O. P. Santillán , C. Simeone

We present a first numerical implementation of a new scheme by Pound et al. that enables the calculation of the gravitational self-force in Kerr spacetime from a reconstructed metric-perturbation in a radiation gauge. The numerical task of…

General Relativity and Quantum Cosmology · Physics 2015-08-10 Cesar Merlin , Abhay G. Shah
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