Living Reviews in Relativity

"Gravitational Radiation from Post-Newtonian Sources
and Inspiralling Compact Binaries"
Luc Blanchet  

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1 Introduction
1.1 Gravitational-wave generation formalisms
1.2 Problem posed by compact binary systems
1.3 Post-Newtonian equations of motion and radiation
Part A: Post-Newtonian Sources
2 Einstein’s Field Equations
3 Linearized Vacuum Equations
4 Non-linear Iteration of the Field Equations
4.1 The post-Minkowskian solution
4.2 Generality of the solution
4.3 Near-zone and far-zone structures
4.4 The radiative multipole moments
5 Exterior Field of a Post-Newtonian Source
5.1 The matching equation
5.2 General expression of the multipole expansion
5.3 Equivalence with the Will-Wiseman formalism
5.4 The source multipole moments
5.5 Post-Newtonian field in the near zone
6 Non-linear Multipole Interactions
7 The Third Post-Newtonian Metric
Part B: Compact Binary Systems
8 Regularization of the Field of Point Particles
8.1 Hadamard self-field regularization
8.2 Hadamard regularization ambiguities
8.3 Dimensional regularization of the equations of motion
8.4 Dimensional regularization of the radiation field
9 Newtonian-like Equations of Motion
9.1 The 3PN acceleration and energy
9.2 Lagrangian and Hamiltonian formulations
9.3 Equations of motion in the center-of-mass frame
9.4 Equations of motion and energy for circular orbits
9.5 The innermost circular orbit (ICO)
9.6 Accuracy of the post-Newtonian approximation
10 Gravitational Waves from Compact Binaries
10.1 The binary’s multipole moments
10.2 Contribution of wave tails
10.3 Orbital phase evolution
10.4 The two polarization waveforms
11 Acknowledgments
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