scholarly journals Efficient pseudospectral method for the computation of the self-force on a charged particle: Circular geodesics around a Schwarzschild black hole

2009 ◽  
Vol 79 (8) ◽  
Author(s):  
Priscilla Cañizares ◽  
Carlos F. Sopuerta
Keyword(s):  
Black Hole ◽  
Charged Particle ◽  
Pseudospectral Method ◽  
The Self ◽  
Schwarzschild Black Hole ◽  
Self Force

The self-force on a non-minimally coupled static scalar charge outside a Schwarzschild black hole

2007 ◽  
Vol 24 (5) ◽  
pp. 1035-1048 ◽  
Author(s):  
Demian H J Cho ◽  
Antonios A Tsokaros ◽  
Alan G Wiseman
Keyword(s):  
Black Hole ◽  
The Self ◽  
Schwarzschild Black Hole ◽  
Scalar Charge ◽  
Self Force

scholarly journals THE SELF-FORCE OF A CHARGED PARTICLE IN CLASSICAL ELECTRODYNAMICS WITH A CUTOFF

1999 ◽  
Vol 13 (03) ◽  
pp. 315-324 ◽  
Author(s):  
J. FRENKEL ◽  
R. B. SANTOS
Keyword(s):  
Charged Particle ◽  
Special Relativity ◽  
Point Charge ◽  
Equation Of Motion ◽  
The Self ◽  
Classical Electrodynamics ◽  
Exact Equation ◽  
Electromagnetic Mass ◽  
Self Force

We discuss, in the context of classical electrodynamics with a Lorentz invariant cutoff at short distances, the self-force acting on a point charged particle. It follows that the electromagnetic mass of the point charge occurs in the equation of motion in a form consistent with special relativity. We find that the exact equation of motion does not exhibit runaway solutions or non-causal behavior, when the cutoff is larger than half of the classical radius of the electron.

scholarly journals Conservative, gravitational self-force for a particle in circular orbit around a Schwarzschild black hole in a radiation gauge

2011 ◽  
Vol 83 (6) ◽  
Author(s):  
Abhay G. Shah ◽  
Tobias S. Keidl ◽  
John L. Friedman ◽  
Dong-Hoon Kim ◽  
Larry R. Price
Keyword(s):  
Black Hole ◽  
Circular Orbit ◽  
Schwarzschild Black Hole ◽  
Self Force

scholarly journals Self-force of a scalar field for circular orbits about a Schwarzschild black hole

2003 ◽  
Vol 67 (10) ◽  
Author(s):  
Steven Detweiler ◽  
Eirini Messaritaki ◽  
Bernard F. Whiting
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Schwarzschild Black Hole ◽  
Circular Orbits ◽  
Self Force

A self-force approach to the two-body problem: The Green function method

2016 ◽  
Vol 25 (09) ◽  
pp. 1641015
Author(s):  
Marc Casals
Keyword(s):  
Black Hole ◽  
Green Function ◽  
The Self ◽  
Massive Black Hole ◽  
Green Function Method ◽  
Two Body Problem ◽  
Black Hole Spacetime ◽  
Novel Method ◽  
The Green Function ◽  
Self Force

The inspiral of a stellar-mass astrophysical object into a massive black hole may be modeled within perturbation theory of General Relativity via the so-called self-force. In this paper, we present a novel method for the calculation of the self-force which is based on the Green function (GF) of the wave equation satisfied by the field created by the smaller object. We review the results in [M. Casals, S. Dolan, A. C. Ottewill and B. Wardell, Phys. Rev. D 88 (2013) 044022; B. Wardell, C. R. Galley, A. Zenginoğlu, M. Casals, S. R. Dolan and A. C. Ottewill, Phys. Rev. D 89 (2014) 084021] on the GF and the self-force on a scalar charge (as a model for the gravitational case) moving on a Schwarzschild black hole spacetime. This GF method offers an appealing geometrical insight into the origin of the self-force and is a promising candidate for practical self-force calculations.

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