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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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4 Gravitational waves, theory and e
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6 Gravitational waves, theory and e
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8 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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Sources detectable from ground and
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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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Application of the TT gauge to the
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Application of the TT gauge to the
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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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Description of the LISA mission 119
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Description of the LISA mission 121
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Description of the LISA mission 123
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Description of the LISA mission 125
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- Page 165 and 166: Introduction 153detect GWs with a s
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230 Sources of SGWBwhich is a suita
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232 Sources of SGWBdominated phase
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234 Sources of SGWBgeneral feature
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236 Sources of SGWBa consequence of
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238 Sources of SGWBof interferomete
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240 Sources of SGWB[11] Thorne K S
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242 Sources of SGWB[67] Postnov K 1
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Chapter 14Infinite-dimensional symm
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The Riemann tensor (the curvature t
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Einstein theory 249Repeating the sa
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Einstein theory 251where δ ˜g µ
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Nonlinear σ -models 253Example: G
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Nonlinear σ -models 25514.2.2 The
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14.3 Symmetries of nonlinear σ -mo
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The Geroch group 259a nonlinear way
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The linear system 261Using the know
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The linear system 263and then the f
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The linear system 265where we consi
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Acknowledgments 267From (14.161) we
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Splitting formalism and test partic
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Splitting formalism and test partic
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The spacetime metric 273with h AB =
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Searching for an operational frame
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Precession of a gyroscope in geodes
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References 279References[1] Taylor
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Introduction 281the so-called pre-b
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Motivations: duality symmetry 283co
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Motivations: duality symmetry 285Ex
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Motivations: duality symmetry 287Th
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Kinematics: shrinking horizons 289s
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and the S-frame action (16.20) beco
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Kinematics: shrinking horizons 293s
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Open problems and phenomenological
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Cosmological perturbation theory 29
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Cosmological perturbation theory 29
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Cosmological perturbation theory 30
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Cosmological perturbation theory 30
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Cosmological perturbation theory 30
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Cosmological perturbation theory 30
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The relic graviton background 309Ta
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The relic graviton background 311Fi
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The relic graviton background 313Fi
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The relic graviton background 315th
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Appendix A. The string effective ac
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Appendix A. The string effective ac
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Appendix A. The string effective ac
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Appendix B. Duality symmetry 323we
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Appendix B. Duality symmetry 325By
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Appendix B. Duality symmetry 327By
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Appendix C. The string cosmology eq
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Appendix C. The string cosmology eq
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References 333Finally, equation (16
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References 335[26] Maggiore M and S
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References 337[78] Prodi G 1998 Tal
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Introduction 339breaks down at this
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Summary of optimal signal filtering
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Newtonian binary polarization wavef
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Newtonian binary polarization wavef
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Newtonian orbital phase evolution 3
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17.5 Post-Newtonian wave generation
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Post-Newtonian wave generation 351s
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to transform the coordinates accord
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Inspiral binary waveform 355H + (1)
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References 357[6] Cutler C et al 19
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Chapter 18Numerical relativityGener
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Einstein equations for relativity 3
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Einstein equations for relativity 3
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Einstein equations for relativity 3
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Still newer formulations: towards a
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ADM evolutionsStill newer formulati
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Still newer formulations: towards a
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Still newer formulations: towards a
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Still newer formulations: towards a
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Still newer formulations: towards a
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Still newer formulations: towards a
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Tools for analysing the numerical s
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Tools for analysing the numerical s
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Tools for analysing the numerical s
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Cactus computational toolkit 389cap
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Cactus computational toolkit 39118.
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Recent applications and progress 39
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Recent applications and progress 39
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Recent applications and progress 39
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Summary 399these techniques are use
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Further reading 401the above that s
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References 403Physics that can be e
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References 405[65] Gustafsson B, Kr
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References 407[138] Berger M and Ol
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Indexaction, 50Einstein-Hilbert, 24
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Index 411Kaluza-Klein, 7, 153, 247,