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

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References 357[6] Cutler C et al 1993 Phys. Rev. Lett. 70 2984[7] Cutler C and Flanagan E 1994 Phys. Rev. D 49 2658[8] Blanchet L and Damour T 1986 Phil. Trans. R. Soc. A 320 379[9] Blanchet L and Damour T 1989 Ann. Inst. H. Poincaré (Phys. Théorique) 50 377[10] Damour T and Iyer B R 1991 Ann. Inst. H. Poincaré (Phys. Théorique) 54 115[11] Blanchet L 1995 Phys. Rev. D 51 2559[12] Blanchet L 1998 Class. Quantum Grav. 15 89[13] Blanchet L 1998 Class. Quantum Grav. 15 113[14] Blanchet L 1998 Class. Quantum Grav. 15 1971[15] Will C M and Wiseman A G 1996 Phys. Rev. D 54 4813[16] Epstein R and Wagoner R V 1975 Astrophys. J. 197 717[17] Thorne K S 1980 Rev. Mod. Phys. 52 299[18] Hadamard J 1932 Le problème de Cauchy et les Équations aux Dérivées PartiellesLinéaires Hyperboliques (Paris: Hermann)[19] Blanchet L and Faye G 2000 J. Math. Phys. 41 7675Blanchet L and Faye G Preprint gr-qc 0004008[20] Wainstein L A and Zubakov L D 1962 Extraction of Signals from Noise (EnglewoodCliffs, NJ: Prentice-Hall)[21] Cutler C, Finn L S, Poisson E and Sussman G J 1993 Phys. Rev. D 47 1511[22] Tagoshi H and Nakamura T 1994 Phys. Rev. D 49 4016[23] Poisson E 1995 Phys. Rev. D 52 5719Poisson E 1997 Phys. Rev. D 55 7980[24] Damour T, Iyer B R and Sathyaprakash B S 1998 Phys. Rev. D 57 885[25] Blanchet L, Damour T, Iyer B R, Will C M and Wiseman A G 1995 Phys. Rev. Lett.74 3515[26] Blanchet L, Damour T and Iyer B R 1995 Phys. Rev. D 51 5360[27] Blanchet L 1996 Phys. Rev. D 54 1417[28] Jaranowski P and Schäfer G 1998 Phys. Rev. D 57 7274[29] Blanchet L and Faye G 2000 Phys. Lett. A to appearBlanchet L and Faye G Preprint gr-qc 0004009[30] Blanchet L and Damour T 1992 Phys. Rev. D 46 4304[31] Wiseman A G and Will C M 1991 Phys. Rev. D 44 R2945[32] Thorne K S 1992 Phys. Rev. D 45 520[33] Blanchet L, Iyer B R, Will C M and Wiseman A G 1996 Class. Quantum Grav. 13575[34] Tagoshi H and Sasaki M 1994 Prog. Theor. Phys. 92 745
PART 5NUMERICAL RELATIVITYEdward SeidelMax-Planck-Institut für Gravitationsphysik,Albert-Einstein-Institut, Am Mühlenberg 5, D-14473, Potsdam,Germany and University of Illinois, NCSA and Departments ofPhysics and Astronomy, Champaign, IL 61820, USA
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GRAVITATIONAL WAVES
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c IOP Publishing Ltd 2001All righ
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viContents4 Astrophysics of gravita
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viiiContents11.3 Gravitational wave
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xContents16.5 Cosmological perturba
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PrefaceGravitational waves today re
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2 Gravitational waves, theory and e
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10 Gravitational waves, theory and
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SynopsisGravitational waves and the
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Chapter 2Elements of gravitational
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Using the TT gauge to understand gr
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Interaction of gravitational waves
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Analysis of beam detectors 21This d
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Exercises for chapter 2 232. Show t
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Gravitational-wave detectors 25indi
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Gravitational-wave observables 27th
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The physics of interferometers 29
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The physics of interferometers 31Dr
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The physics of interferometers 33Fi
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The physics of resonant mass detect
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The physics of resonant mass detect
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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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Page 317 and 318: 306 Elementary introduction to pre-
Page 349 and 350: Chapter 17Post-Newtonian computatio
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Page 372 and 373: 362 Numerical relativityspite of mo
Page 374 and 375: 364 Numerical relativityterms, of m
Page 376 and 377: 366 Numerical relativityHere we hav
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Page 380 and 381: 370 Numerical relativityThe Palma,
Page 382 and 383: 372 Numerical relativityHyperbolic
Page 384 and 385: 374 Numerical relativityEinstein di
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Page 390 and 391: 380 Numerical relativityFigure 18.1
Page 392 and 393: 382 Numerical relativity1D code [45
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Page 396 and 397: 386 Numerical relativityto a very a
Page 398 and 399: 388 Numerical relativity18.5 Comput
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Page 402 and 403: 392 Numerical relativityinitial dis
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Page 410 and 411: 400 Numerical relativityof Einstein
Page 412 and 413: 402 Numerical relativity18.9.5.2 Co
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Page 416 and 417: 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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