Motion of Small Objects in Curved Spacetimes: An Introduction to Gravitational Self-Force
In recent years, asymptotic approximation schemes have been developed to describe the motion of a small compact object through a vacuum background to any order in perturbation theory. The schemes are based on rigorous methods of matched asymptotic expansi
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Dirk Puetzfeld Claus Lämmerzahl Bernard Schutz Editors
Equations of Motion in Relativistic Gravity
Fundamental Theories of Physics Volume 179
Series editors Henk van Beijeren Philippe Blanchard Paul Busch Bob Coecke Dennis Dieks Detlef Dürr Roman Frigg Christopher Fuchs Giancarlo Ghirardi Domenico J.W. Giulini Gregg Jaeger Claus Kiefer Nicolaas P. Landsman Christian Maes Hermann Nicolai Vesselin Petkov Alwyn van der Merwe Rainer Verch R.F. Werner Christian Wuthrich
More information about this series at http://www.springer.com/series/6001
Dirk Puetzfeld Claus Lämmerzahl Bernard Schutz •
Editors
Equations of Motion in Relativistic Gravity
123
Editors Dirk Puetzfeld ZARM University of Bremen Bremen Germany
Bernard Schutz Max-Planck-Institut für Gravitationsphysik Golm, Brandenburg Germany
Claus Lämmerzahl ZARM University of Bremen Bremen Germany
Fundamental Theories of Physics ISBN 978-3-319-18334-3 DOI 10.1007/978-3-319-18335-0
ISBN 978-3-319-18335-0
(eBook)
Library of Congress Control Number: 2015938091 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2015 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.springer.com)
Preface
The derivation of the equations of motion for extended bodies represents a fundamental problem in relativistic gravitational physics. Since the early days of Einstein’s theory of General Relativity, a wide spectrum of methods has been proposed to allow for the derivation in different physical settings. Without having such equations of motion at hand it is impossible to correctly describe, for example, the motion of binary systems, or to calculate the form of gravitational waves emitted by such systems. These equations are also crucial for astrometry and for high precision satellite missions. In 2013 we organized1 an international conference in Bad Honnef (Germany) o
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