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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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Description of the LISA mission 127
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Description of the LISA mission 129
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Description of the LISA mission 131
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Expected gravitational-wave results
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Expected gravitational-wave results
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Expected gravitational-wave results
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Expected gravitational-wave results
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Expected gravitational-wave results
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Expected gravitational-wave results
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Expected gravitational-wave results
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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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Gravitational wave radiation in the
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Gravitational wave radiation in the
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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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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,