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Phys. Rev. D 64, 044022 (2001) [12 pages]

Aichelburg-Sexl boost of an isolated source in general relativity

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C. Barrabès*
Laboratoire de Mathématiques et Physique Théorique, CNRS/UPRES-A 6083, Université F. Rabelais, 37200 TOURS, France

P. A. Hogan
Mathematical Physics Department, National University of Ireland Dublin, Belfield, Dublin 4, Ireland

Received 14 May 2001; published 27 July 2001

A study of the Aichelburg-Sexl boost of the Schwarzschild field is described in which the emphasis is placed on the field (curvature tensor) with the metric playing a secondary role. This is motivated by a description of the Coulomb field of a charged particle viewed by an observer whose speed relative to the charge approaches the speed of light. Our approach is exemplified by carrying out an Aichelburg-Sexl-type boost on the Weyl vacuum gravitational field due to an isolated axially symmetric source. Detailed calculations of the boosts transverse and parallel to the symmetry axis are given and the results, which differ significantly, are discussed.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.64.044022
DOI:
10.1103/PhysRevD.64.044022
PACS:
04.20.Cv

*Email address: barrabes@celfi.phys.univ-tours.fr

Email address: phogan@ollamh.ucd.ie