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

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

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

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xContents16.5 Cosmological perturbation theory 29716.5.1 Choice of the frame 29716.5.2 Choice of the gauge 29916.5.3 Normalization of the amplitude 30216.5.4 Computation of the spectrum 30416.6 The relic graviton background 30916.7 Conclusion 316Acknowl<strong>ed</strong>gments 316Appendix A. The string effective action 317Appendix B. Duality symmetry 322Appendix C. The string cosmology equations 328References 33317 Post-Newtonian computation of binary inspiral waveforms 33817.1 Introduction 33817.2 Summary of optimal signal filtering 34017.3 Newtonian binary polarization waveforms 34317.4 Newtonian orbital phase evolution 34617.5 Post-Newtonian wave generation 34917.5.1 Field equations 34917.5.2 Source moments 35017.5.3 Radiative moments 35217.6 Inspiral binary waveform 354References 356PART 5Numerical relativityEdward Seidel 35918 Numerical relativity 36118.1 Overview 36118.2 Einstein equations for relativity 36318.2.1 Constraint equations 36518.2.2 Evolution equations 36718.3 Still newer formulations: towards a stable evolution system 36918.3.1 General relativistic hydrodynamics 37618.3.2 Boundary conditions 37818.3.3 Special difficulties with black holes 37918.4 Tools for analysing the numerical spacetimes 38218.4.1 Horizon finders 38218.4.2 Locating the apparent horizons 38318.4.3 Locating the event horizons 38518.4.4 Wave extraction 38618.5 Computational science, numerical relativity, and the ‘Cactus’ code 388

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