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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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viContents4 Astrophysics of gravitational-wave sources 434.1 Sources detectable from ground and from space 434.1.1 Supernovae and gravitational collapse 434.1.2 Binary stars 444.1.3 Chirping binary systems 444.1.4 Pulsars and other spinning neutron stars 464.1.5 Random backgrounds 484.1.6 The unexpect<strong>ed</strong> 495 Waves and energy 505.1 Variational principle for general relativity 505.2 Variational principles and the energy in gravitational <strong>waves</strong> 515.2.1 Gauge transformation and invariance 525.2.2 <strong>Gravitational</strong>-wave action 525.3 Practical applications of the Isaacson energy 545.3.1 Curvature produc<strong>ed</strong> by <strong>waves</strong> 555.3.2 Cosmological background of radiation 555.3.3 Other approaches 565.4 Exercises for chapter 5 566 Mass- and current-quadrupole radiation 586.1 Expansion for the far field of a slow-motion source 586.2 Application of the TT gauge to the mass quadrupole field 606.2.1 The TT gauge transformations 606.2.2 Quadrupole field in the TT gauge 616.2.3 Radiation patterns relat<strong>ed</strong> to the motion of sources 626.3 Application of the TT gauge to the current-quadrupole field 646.3.1 The field at third order in slow-motion 646.3.2 Separating the current quadrupole from the mass octupole 656.3.3 A model system radiating current-quadrupole radiation 676.4 Energy radiat<strong>ed</strong> in gravitational <strong>waves</strong> 686.4.1 Mass-quadrupole radiation 696.4.2 Current-quadrupole radiation 696.5 Radiation in the Newtonian limit 707 Source calculations 717.1 Radiation from a binary system 717.1.1 Corrections 737.2 The r-modes 737.2.1 Linear growth of the r-modes 767.2.2 Nonlinear evolution of the star 777.2.3 Detection of r-mode radiation 797.3 Conclusion 80References 81Solutions to exercises 84

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