Uniformly Accelerating Charged Particles A Threat to the Equivalence
There has been a long debate about whether uniformly accelerated charges should radiate electromagnetic energy and how one should describe their worldline through a flat spacetime, i.e., whether the Lorentz-Dirac equation is right. There are related quest
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Fundamental Theories of Physics An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application
Editor: ALWYN VAN DER MERWE, University of Denver, U.S.A.
Editorial Advisory Board: GIANCARLO GHIRARDI, University of Trieste, Italy LAWRENCE P. HORWITZ, Tel-Aviv University, Israel BRIAN D. JOSEPHSON, University of Cambridge, U.K. CLIVE KILMISTER, University of London, U.K. PEKKA J. LAHTI, University of Turku, Finland FRANCO SELLERI, Università di Bari, Italy TONY SUDBERY, University of York, U.K. HANS-JÜRGEN TREDER, Zentralinstitut für Astrophysik der Akademie der Wissenschaften, Germany VESSELIN PETKOV, Concordia University, Montreal
Volume 158
Uniformly Accelerating Charged Particles A Threat to the Equivalence Principle
by
Stephen N. Lyle Alzen France
123
Stephen N. Lyle Andébu 09240 Alzen France [email protected]
ISBN 978-3-540-68469-5
e-ISBN 978-3-540-68477-0
Library of Congress Control Number: 2008928513 © 2008 Springer-Verlag Berlin Heidelberg This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover design: deblik, Berlin Printed on acid-free paper 9 8 7 6 5 4 3 2 1 springer.com
To Joan M. Lazenby
Preface
Back in 1954, a paper [2] by Bondi and Gold was to pick up on a much older question and raise a new one that would trigger another long debate. The old question had been around since the beginning of the twentieth century, when Born first raised it [1] and others followed suit. This was the question of whether a uniformly accelerated charge (in flat spacetime) would radiate electromagnetic energy. The new question arose from the claim by Bondi and Gold that (in the context of general relativity now) a static charge in a static gravitational field cannot radiate energy. If this were the case, then a particular version of the equivalence principle would thereby be contradicted. This book reviews the problem discovered by Bondi and Gold and discusses the ensuing debate as carried on by Fulton and Rohrlich [3], DeWitt and Brehme [4], Mould [5], Boulware [6], and Parrott [7]. Various solutions have been proposed by the above (and others who are not discussed here). One of the aims here will be to put forward a rather different solution to Bondi and Gold’
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