Post-Newtonian theory and the two-body problem
arXiv:0907.3596
Abstract
Reliable predictions of general relativity theory are extracted using approximation methods. Among these, the powerful post-Newtonian approximation provides us with our best insights into the problems of motion and gravitational radiation of systems of compact objects. This approximation has reached an impressive mature status, because of important progress regarding its theoretical foundations, and the successful construction of templates of gravitational waves emitted by inspiralling compact binaries. The post-Newtonian predictions are routinely used for searching and analyzing the very weak signals of gravitational waves in current generations of detectors. High-accuracy comparisons with the results of numerical simulations for the merger and ring-down of binary black holes are going on. In this article we give an overview on the general formulation of the post-Newtonian approximation and present up-to-date results for the templates of compact binary inspiral.
42 pages, to appear in the book "Mass and Motion in General Relativity", proceedings of the C.N.R.S. School in Orleans, France, eds. L. Blanchet, A. Spallicci and B. Whiting
References in corpus (4)
- Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
- Using Full Information When Computing Modes of Post-Newtonian Waveforms From Inspiralling Compact Binaries in Circular Orbit
- Inspiralling compact binaries in quasi-elliptical orbits: The complete third post-Newtonian energy flux
- Tail effects in the third post-Newtonian gravitational wave energy flux of compact binaries in quasi-elliptical orbits
Cited by in corpus (7)
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- Covariant formulation of the post-1-Newtonian approximation to General Relativity
- Post-ISCO Ringdown Amplitudes in Extreme Mass Ratio Inspiral
- Einstein's action and the harmonic gauge in terms of Newtonian fields
- Dressing the Post-Newtonian two-body problem and Classical Effective Field Theory
- On the LIGO-VIRGO search of coalescing-binary signals