(ed.). Gravitational waves (IOP, 2001)(422s).

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c IOP Publishing Ltd 2001All rights reserved. No part of this publication may be reproduced, storedin a retrieval system or transmitted in any form or by any means, electronic,mechanical, photocopying, recording or otherwise, without the prior permissionof the publisher. Multiple copying is permitted in accordance with the termsof licences issued by the Copyright Licensing Agency under the terms of itsagreement with the Committee of Vice-Chancellors and Principals.British Library Cataloguing-in-Publication DataA catalogue record for this book is available from the British Library.ISBN 0 7503 0741 2Library of Congress Cataloging-in-Publication Data are availableCommissioning Editor: James RevillProduction Editor: Simon LaurensonProduction Control: Sarah PlentyCover Design: Victoria Le BillonMarketing Executive: Colin FentonPublished by Institute of Physics Publishing, wholly owned by The Institute ofPhysics, LondonInstitute of Physics Publishing, Dirac House, Temple Back, Bristol BS1 6BE, UKUS Office: Institute of Physics Publishing, The Public Ledger Building, Suite1035, 150 South Independence Mall West, Philadelphia, PA 19106, USATypeset in TEX using the IOP Bookmaker MacrosPrinted in the UK by MPG Books Ltd, Bodmin
ContentsPrefacexiii1 Gravitational waves, theory and experiment (an overview) 1References 9PART 1Gravitational Waves, Sources and DetectorsBernard F Schutz and Franco Ricci 11Synopsis 132 Elements of gravitational waves 152.1 Mathematics of linearized theory 162.2 Using the TT gauge to understand gravitational waves 172.3 Interaction of gravitational waves with detectors 192.4 Analysis of beam detectors 212.4.1 Ranging to spacecraft 212.4.2 Pulsar timing 222.4.3 Interferometry 222.5 Exercises for chapter 2 223 Gravitational-wave detectors 243.1 Gravitational-wave observables 263.2 The physics of interferometers 283.2.1 New interferometers and their capabilities 323.3 The physics of resonant mass detectors 343.3.1 New bar detectors and their capabilities 373.4 A detector in space 383.4.1 LISA’s capabilities 393.5 Gravitational and electromagnetic waves compared and contrasted 41
Page 1: GRAVITATIONAL WAVES
Page 6 and 7: viContents4 Astrophysics of gravita
Page 8 and 9: viiiContents11.3 Gravitational wave
Page 10 and 11: xContents16.5 Cosmological perturba
Page 13 and 14: PrefaceGravitational waves today re
Page 15 and 16: 2 Gravitational waves, theory and e
Page 23 and 24: 10 Gravitational waves, theory and
Page 26 and 27: SynopsisGravitational waves and the
Page 28 and 29: Chapter 2Elements of gravitational
Page 30 and 31: Using the TT gauge to understand gr
Page 32 and 33: Interaction of gravitational waves
Page 34 and 35: Analysis of beam detectors 21This d
Page 36 and 37: Exercises for chapter 2 232. Show t
Page 38 and 39: Gravitational-wave detectors 25indi
Page 40 and 41: Gravitational-wave observables 27th
Page 42 and 43: The physics of interferometers 29
Page 44 and 45: The physics of interferometers 31Dr
Page 46 and 47: The physics of interferometers 33Fi
Page 48 and 49: The physics of resonant mass detect
Page 50 and 51: The physics of resonant mass detect
Page 52 and 53: A detector in space 39LISA has been
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Gravitational and electromagnetic w
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Chapter 4Astrophysics of gravitatio
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Sources detectable from ground and
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Variational principles and the ener
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Variational principles and the ener
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Practical applications of the Isaac
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Exercises for chapter 5 57(f)This s
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Expansion for the far field of a sl
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Application of the TT gauge to the
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6.4.1 Mass-quadrupole radiationEner
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Chapter 7Source calculationsNow tha
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The r-modes 73As we mentioned in ch
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The r-modes 75instability. In an id
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The r-modes 77Table 7.1. Gravitatio
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The r-modes 79evolution turns out t
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ReferencesWe have divided the refer
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References 83[19] van der Klis M 19
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Solutions to exercises 85For this p
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Solutions to exercises 87The gauge
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Chapter 8Resonant detectors for gra
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Sensitivity and bandwidth of resona
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8.2 Sensitivity for various GW sign
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Sensitivity for various GW signals
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Recent results obtained with the re
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Discussion and conclusions 101Figur
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Chapter 9The Earth-based large inte
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Introduction 105Figure 9.1. The sim
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h(sqrt(1/Hz))10 −610 −810 −10
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18.5 cmThe SA suspension and requir
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A few words about the Low Frequency
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Conclusion 113Figure 9.7. The R and
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Chapter 10LISA: A proposed joint ES
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Description of the LISA mission 117
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Expected gravitational-wave results
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References 149[8] Folkner W M 1998
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References 151[68] Miralda-Escuda J
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Introduction 153detect GWs with a s
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Testing theories of gravity 155•
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0Testing theories of gravity 157the
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Taking the scalar product we findGr
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Gravitational wave radiation in the
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The hollow sphere 169and introduced
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Scalar-tensor cross sections 171mon
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Scalar-tensor cross sections 173Tab
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Scalar-tensor cross sections 175Tab
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References 177Frossati G and Coccia
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Chapter 12Generalities on the stoch
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Introduction 183contribution to the
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Definitions 185The value of H 0 is
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Definitions 18712.2.2 The character
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Definitions 189or, dividing by the
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The overlap reduction function 191O
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The overlap reduction function 193T
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The overlap reduction function 195F
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Achievable sensitivities to the SGW
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Observational bounds 207Table 12.10
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equation gives immediately(ρgwρ
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Chapter 13Sources of SGWBHere we re
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Topological defects 213This correla
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Topological defects 215It can be sh
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Topological defects 217(i)A loop ra
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Topological defects 219• A peak n
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Topological defects 22113.1.2 Hybri
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Inflation 223Hubble radius and when
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Inflation 225as a first approximati
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Inflation 227the lower bound to the
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String cosmology 22913.3 String cos
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String cosmology 231HPre-big bangPo
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String cosmology 233Figure 13.6. h
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First-order phase transitions 23580
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Astrophysical sources 237which is t
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References 239of [71]). However, fo
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References 241[39] Liddle A R 2000
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PART 4THEORETICAL DEVELOPMENTSHerma
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246 Infinite-dimensional symmetries
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Chapter 15Gyroscopes and gravitatio
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270 Gyroscopes and gravitational wa
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Chapter 16Elementary introduction t
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282 Elementary introduction to pre-
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Chapter 17Post-Newtonian computatio
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340 Post-Newtonian computation of b
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PART 5NUMERICAL RELATIVITYEdward Se
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362 Numerical relativityspite of mo
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364 Numerical relativityterms, of m
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366 Numerical relativityHere we hav
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368 Numerical relativityinformation
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370 Numerical relativityThe Palma,
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372 Numerical relativityHyperbolic
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374 Numerical relativityEinstein di
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376 Numerical relativityare the abi
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378 Numerical relativityeach cell i
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380 Numerical relativityFigure 18.1
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382 Numerical relativity1D code [45
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384 Numerical relativityfunctions,
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386 Numerical relativityto a very a
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388 Numerical relativity18.5 Comput
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390 Numerical relativitynumerics an
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392 Numerical relativityinitial dis
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396 Numerical relativityof these re
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400 Numerical relativityof Einstein
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402 Numerical relativity18.9.5.2 Co
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404 Numerical relativity[23] Ashby
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406 Numerical relativity[101] Shapi
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408 Numerical relativity(Singapore:
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410 IndexEhlers Lagrangian, 254Eins
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412 Indexscalarspherical harmonics,
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