scholarly journals Self-force and the Huygens principle

2020 ◽  
Vol 35 (02n03) ◽  
pp. 2040016
Author(s):  
N. Khusnutdinov
Keyword(s):  
Electromagnetic Field ◽  
Green Function ◽  
Gravitational Wave ◽  
Vector Potential ◽  
Interaction Force ◽  
The Self ◽  
No Tail ◽  
Wave Space ◽  
Huygens Principle ◽  
Self Force

We consider a relation between the Huygens Principle (HP) in gravity and the self-interaction force. We show that the self-force for an electric particle in the plane gravitational wave space-time has no tail term even the vector Green function does not obey the HP. The reason for this observation is that even vector potential does not obey the HP, the electromagnetic field does obey.

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.

scholarly journals INDUCED ELECTROSTATIC SELF-INTERACTION IN THE SPACE–TIME OF A GLOBAL MONOPOLE WITH INNER STRUCTURE

2009 ◽  
Vol 18 (07) ◽  
pp. 1085-1099 ◽  
Author(s):  
D. BARBOSA ◽  
E. R. BEZERRA DE MELLO ◽  
J. SPINELLY
Keyword(s):  
Charged Particle ◽  
Green Function ◽  
Physical System ◽  
Three Dimensional ◽  
Space Time ◽  
The Self ◽  
Global Monopole ◽  
Self Energy ◽  
Self Force

In this work we analyze the electrostatic self-energy and self-force on a pointlike electric-charged particle induced by a global monopole space–time considering an inner structure for it. In order to develop this analysis we calculate the three-dimensional Green function associated with this physical system. We explicitly show that for points inside and outside the monopole's core the self-energy presents two distinct contributions. The first is induced by the geometry associated with the space–time under consideration, and the second is a correction due to the nonvanishing inner structure attributed to it. Considering specifically the ballpoint pen model for the region inside, we are able to obtain exact expressions for the self-energies in the regions outside and inside the monopole's core.

scholarly journals Curing the self-force runaway problem in finite-difference integration

2019 ◽  
Vol 99 (6) ◽  
Author(s):  
Assaf Lanir ◽  
Orr Sela
Keyword(s):  
Finite Difference ◽  
The Self ◽  
Self Force

scholarly journals Calculation of the self force using the extended-object approach

2004 ◽  
Vol 45 (6) ◽  
pp. 2347-2364 ◽  
Author(s):  
Amos Ori ◽  
Eran Rosenthal
Keyword(s):  
The Self ◽  
Extended Object ◽  
Self Force

Atomic Interferometric Gravitational-Wave Space Observatory (AIGSO)

2018 ◽  
Vol 69 (1) ◽  
pp. 37 ◽  
Author(s):  
Dong-Feng Gao ◽  
Jin Wang ◽  
Ming-Sheng Zhan
Keyword(s):  
Gravitational Wave ◽  
Space Observatory ◽  
Wave Space
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