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Journal ArticleDOI

The motion of a charged particle as viewed from heaven

Malcolm Ludvigsen
- 01 May 1978 - 
- Vol. 9, Iss: 5, pp 373-379
TLDR
In this article, a new approach to the problem of the motion of a self-interacting massive charged particle in general relativity is presented, where a charged Robinson-Trautman (RT) solution is used as a general relativity model for such a particle.
Abstract
A new approach to the problem of the motion of a self-interacting massive charged particle in general relativity is presented. A charged Robinson-Trautman (RT) solution is used as a general relativity model for such a particle. Such a solution is shown to generate a unique world-line in its ownH-space. This is argued to be the asymptotically observed world-line of the particle. Using the RT dynamical relations, the equation of motion is derived, and, in the limiting case of zero curvature, it is shown to be the same as the classical Lorentz-Dirac equation of motion.

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Citations
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Journal ArticleDOI

Equation of motion in linearised gravity. I. Uniform acceleration

P A Hogan, +1 more
- 01 Jul 1979 - 
TL;DR: In this paper, the authors describe a straightforward approach to study the motion of the sources of some Robinson-Trautman gravitational fields (1962) in linearised gravity, and show that the solution agrees with the exact solution of Levi-Civita to this problem, in the linear approximation.
Journal ArticleDOI

Maxwell fields onH-space

TL;DR: In this article, it was shown that the H space associated with a solution of the Einstein-Maxwell equations can be endowed with a self-dual Maxwell field which arises from the radiation component of M's Maxwell field.
Journal ArticleDOI

The motion of a charged particle in general relativity

M Ludvigsen
- 01 Oct 1979 - 
TL;DR: In this paper, a new approach to the problem of the motion of a self-interacting massive charged particle in general relativity is presented, where a charged Robinson-Trautman solution is used as a general relativistic model of such a particle.
References
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MonographDOI

Classical Charged Particles

TL;DR: A Short History of the Classical Theory of Charged Particles Foundations of Classical Mechanics The Maxwell-Lorentz Field Electromagnetic Radiation The Chargedparticle Generalizations The Relations of the classical Lorentz-Invariant Charged-Particle Theory to Other Levels of Theory The Theory's Structure and Place in Physics as mentioned in this paper.
Book

Classical Charged Particles

TL;DR: A Short History of the Classical Theory of Charged Particles Foundations of Classical Mechanics The Maxwell-Lorentz Field Electromagnetic Radiation The Chargedparticle Generalizations The Relations of the classical Lorentz-Invariant Charged-Particle Theory to Other Levels of Theory The Theory's Structure and Place in Physics as mentioned in this paper.
Journal ArticleDOI

The nonlinear graviton.

TL;DR: A new approach to quantized gravitational theory is suggested in this article, where it is argued by analogy with Maxwell theory and also from a principle that (physical) gravitons should carry space-time curvature.
Journal ArticleDOI

A curiosity concerning angular momentum

TL;DR: In this article, it was shown that the intrinsic spin angular momentum of a relativistic particle can be interpreted as arising from a center of mass world line displaced from the real Minkowski space into complex Minkowsky space, which can be considered to be a Penrose twistor.
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