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Electromagnetic radiation damping of charges in external gravitational fields (weak field, slow motion approximation). [Harmonic coordinates, weak field slow-motion approximation, Green function]

Journal Article:

Abstract

As a model for gravitational radiation damping of a planet the electromagnetic radiation damping of an extended charged body moving in an external gravitational field is calculated in harmonic coordinates using a weak field, slowing-motion approximation. Special attention is paid to the case where this gravitational field is a weak Schwarzschild field. Using Green's function methods for this purpose it is shown that in a slow-motion approximation there is a strange connection between the tail part and the sharp part: radiation reaction terms of the tail part can cancel corresponding terms of the sharp part. Due to this cancelling mechanism the lowest order electromagnetic radiation damping force in an external gravitational field in harmonic coordinates remains the flat space Abraham Lorentz force. It is demonstrated in this simplified model that a naive slow-motion approximation may easily lead to divergent higher order terms. It is shown that this difficulty does not arise up to the considered order.
Authors:
Rudolph, E [1] 
  1. Max-Planck-Institut fuer Physik und Astrophysik, Muenchen (F.R. Germany)
Publication Date:
Jan 01, 1975
Product Type:
Journal Article
Reference Number:
AIX-07-241354; EDB-76-094281
Resource Relation:
Journal Name: Ann. Inst. Henri Poincare, Sect. A; (France); Journal Volume: 23:2
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GRAVITATIONAL FIELDS; ELECTROMAGNETIC RADIATION; PLANETS; BLACK HOLES; COORDINATES; DAMPING; EQUATIONS OF MOTION; GREEN FUNCTION; SCHWARZSCHILD RADIUS; DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; RADIATIONS; 640107* - Astrophysics & Cosmology- Planetary Phenomena; 657003 - Theoretical & Mathematical Physics- Relativity & Gravitation
OSTI ID:
7338933
Country of Origin:
France
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: AHPAA
Submitting Site:
INIS
Size:
Pages: 113-136
Announcement Date:

Journal Article:

Citation Formats

Rudolph, E. Electromagnetic radiation damping of charges in external gravitational fields (weak field, slow motion approximation). [Harmonic coordinates, weak field slow-motion approximation, Green function]. France: N. p., 1975. Web.
Rudolph, E. Electromagnetic radiation damping of charges in external gravitational fields (weak field, slow motion approximation). [Harmonic coordinates, weak field slow-motion approximation, Green function]. France.
Rudolph, E. 1975. "Electromagnetic radiation damping of charges in external gravitational fields (weak field, slow motion approximation). [Harmonic coordinates, weak field slow-motion approximation, Green function]." France.
@misc{etde_7338933,
title = {Electromagnetic radiation damping of charges in external gravitational fields (weak field, slow motion approximation). [Harmonic coordinates, weak field slow-motion approximation, Green function]}
author = {Rudolph, E}
abstractNote = {As a model for gravitational radiation damping of a planet the electromagnetic radiation damping of an extended charged body moving in an external gravitational field is calculated in harmonic coordinates using a weak field, slowing-motion approximation. Special attention is paid to the case where this gravitational field is a weak Schwarzschild field. Using Green's function methods for this purpose it is shown that in a slow-motion approximation there is a strange connection between the tail part and the sharp part: radiation reaction terms of the tail part can cancel corresponding terms of the sharp part. Due to this cancelling mechanism the lowest order electromagnetic radiation damping force in an external gravitational field in harmonic coordinates remains the flat space Abraham Lorentz force. It is demonstrated in this simplified model that a naive slow-motion approximation may easily lead to divergent higher order terms. It is shown that this difficulty does not arise up to the considered order.}
journal = {Ann. Inst. Henri Poincare, Sect. A; (France)}
volume = {23:2}
journal type = {AC}
place = {France}
year = {1975}
month = {Jan}
}