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An analytic method is presented which allows for the computation of the self-force for a static particle with a scalar charge in the region of an ultrastatic spacetime which one can call the long throat. The method is based on the…

General Relativity and Quantum Cosmology · Physics 2011-11-29 Arkady A. Popov

In this paper we study the vacuum quantum fluctuations of the stationary modes of an uncharged scalar field with mass $m$ around a Schwarzschild black hole with mass $M$, at zero and non-zero temperatures. The procedure consists of…

General Relativity and Quantum Cosmology · Physics 2018-01-10 C. R. Muniz , M. O. Tahim , M. S. Cunha , H. S. Vieira

The gravitational self-force has thus far been formulated in background spacetimes for which the metric is a solution to the Einstein field equations in vacuum. While this formulation is sufficient to describe the motion of a small object…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Peter Zimmerman , Eric Poisson

Calculations of the gravitational self-force (GSF) in curved spacetime require as input the metric perturbation in a sufficiently regular gauge. A basic challenge in the program to compute the GSF for orbits around a Kerr black hole is that…

General Relativity and Quantum Cosmology · Physics 2014-01-21 Adam Pound , Cesar Merlin , Leor Barack

The radiation reaction problem for an electric charge moving in flat space-time of three dimensions is discussed. The divergences stemming from the pointness of the particle are studied. A consistent regularization procedure is proposed,…

Classical Physics · Physics 2009-07-20 Yurij Yaremko

We use the recently developed massive field approach to calculate the scalar self-force on a static particle in a Schwarzschild spacetime. In this approach the scalar self-force is obtained from the difference between the (massless) scalar…

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

Self-force methods can be applied in calculations of the scatter angle in two-body hyperbolic encounters, working order by order in the mass ratio (assumed small) but with no recourse to a weak-field approximation. This, in turn, can inform…

General Relativity and Quantum Cosmology · Physics 2022-02-22 Oliver Long , Leor Barack

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

We consider the modification of the formulas for black hole radiation, due to the self-gravitation of the radiation. This is done by truncating the coupled particle-hole system to a small set of modes, that are plausibly the most…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Per Kraus , Frank Wilczek

We calculate the total thrust resulting from the interaction between charged scalar modes and a superradiant Reissner-Nordstr\"om black hole, when the modes are deflected by a hemispherical perfect mirror located at a finite distance from…

General Relativity and Quantum Cosmology · Physics 2024-03-22 Lucas Acito , Nicolás E. Grandi , Pablo Pisani

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

We study radiation from charged particles in circular motion around a Schwarzschild black hole immersed in an asymptotically uniform magnetic field. In curved space, the radiation reaction force is described by the DeWitt-Brehme equation,…

General Relativity and Quantum Cosmology · Physics 2024-06-18 João S. Santos , Vitor Cardoso , José Natário

A point particle of mass m moving on a geodesic creates a perturbation h, of the spacetime metric g, that diverges at the particle. Simple expressions are given for the singular m/r part of h and its quadrupole distortion caused by the…

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

We study the problem of self-energy of charges in higher dimensional static spacetimes. Application of regularization methods of quantum field theory to calculation of the classical self-energy of charges leads to model-independent results.…

High Energy Physics - Theory · Physics 2015-06-04 Valeri P. Frolov , Andrei Zelnikov

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

If a small "particle" of mass $\mu M$ (with $\mu \ll 1$) orbits a black hole of mass $M$, the leading-order radiation-reaction effect is an $\mathcal{O}(\mu^2)$ "self-force" acting on the particle, with a corresponding $\mathcal{O}(\mu)$…

General Relativity and Quantum Cosmology · Physics 2017-05-03 Jonathan Thornburg , Barry Wardell

Second-order self-force calculations will be critical for modelling extreme-mass-ratio inspirals, and they are now known to have high accuracy even for binaries with mass ratios $\sim 1:10$. Many of the challenges facing these calculations…

General Relativity and Quantum Cosmology · Physics 2024-10-29 Rodrigo Panosso Macedo , Patrick Bourg , Adam Pound , Samuel D. Upton

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

The usual radiation self-force of a point charge is obtained in a mathematically exact way and it is pointed out to that this does not call forth that the spacetime motion of a point charge obeys the Lorentz--Abraham--Dirac equation.

Classical Physics · Physics 2023-03-16 T. Matolcsi

We consider the self-potential and the self-force for an electrically charged particle at rest in the massive wormhole space-time. We develop general approach for the renormalization of electromagnetic field of such particle in the static…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Nail R. Khusnutdinov , Arkadii A. Popov , Lilia N. Lipatova
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