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Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
  • L. Blanchet
  • Physics
    Living reviews in relativity
  • 6 October 2013
TLDR
The current state of the art on post-Newtonian methods as applied to the dynamics and gravitational radiation of general matter sources (including the radiation reaction back onto the source) and inspiralling compact binaries is presented.
Radiative gravitational fields in general relativity II. Asymptotic behaviour at future null infinity
  • L. Blanchet
  • Mathematics
    Proceedings of the Royal Society of London. A…
  • 9 February 1987
We prove that Penrose’s requirements for asymptotic simplicity are formally satisfied by the general metric, (1), which admits both post-Minkowskian and multipolar expansions, (2), which is
Fokker action of nonspinning compact binaries at the fourth post-Newtonian approximation
The Fokker action governing the motion of compact binary systems without spins is derived in harmonic coordinates at the fourth post-Newtonian approximation (4PN) of general relativity. Dimensional
Post-Newtonian hydrodynamics and post-Newtonian gravitational wave generation for numerical relativity
Un formalisme d'approximation des equations d'evolution d'un fluide auto-gravitant relativiste, pour un champ gravitationnel «moyennement fort», incluant les effets «gravito-tensoriels»,
Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
  • L. Blanchet
  • Physics
    Living reviews in relativity
  • 1 June 2006
TLDR
The article reviews the current status of a theoretical approach to the problem of the emission of gravitational waves by isolated systems in the context of general relativity and presents the equations of binary motion at the third post-Newtonian (3PN) order beyond the Newtonian acceleration.
Radiative gravitational fields in general relativity I. General structure of the field outside the source
  • L. Blanchet, T. Damour
  • Mathematics, Physics
    Philosophical Transactions of the Royal Society…
  • 3 December 1986
We present a well-defined formal framework, together with appropriate mathematical tools, which allow us to implement in a constructive way, and to investigate in full mathematical details, the
Gravitational recoil of inspiraling black hole binaries to second post-newtonian order
The loss of linear momentum by gravitational radiation and the resulting gravitational recoil of black hole binary systems may play an important role in the growth of massive black holes in early
Next-to-next-to-leading order spin–orbit effects in the gravitational wave flux and orbital phasing of compact binaries
We compute the next-to-next-to-leading order spin–orbit contributions in the total energy flux emitted in gravitational waves by compact binary systems. Such contributions correspond to the
Gravitational radiation from inspiralling compact binaries completed at the third post-Newtonian order.
TLDR
Three previously introduced ambiguity parameters, coming from the Hadamard self-field regularization of the 3PN source-type mass quadrupole moment, are consistently determined by means of dimensional regularization, and proved to have the values xi=-9871/9240, kappa=0, and zeta=-7/33.
Post-Newtonian generation of gravitational waves.
This paper derives a new multipole-moment gravitational wave generation formalism for slowly moving, weakly stressed, weakly self-gravitating systems. In this formalism the first-post-Newtonian (O(v
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