Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries

By L. Blanchet. Living Reviews in Relativity, 2002

1,647 citations recorded by the source corpus.

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. Part A of the article deals with general post-Newtonian sources. The exterior field of the source is investigated by means of a combination of analytic post-Minkowskian and multipolar approximations. The physical observables in the far-zone of the source are described by a specific set of radiative multipole moments. By matching the exterior solution to the metric of the post-Newtonian source in the near-zone we obtain the explicit expressions of the source multipole moments. The relationships between the radiative and source moments involve many nonlinear multipole interactions, among them those associated with the tails (and tails-of-tails of gravitational waves. Part B of the article is devoted to the application to compact binary systems. We present the equations of binary motion, and the associated Lagrangian and Hamiltonian, at the third post-Newtonian (3PN) order beyond the Newtonian acceleration. The gravitational-wave energy flux, taking consistently into account the relativistic corrections in the binary moments as well as the various tail effects, is derived through 3.5PN order with respect to the quadrupole formalism. The binary’s orbital phase, whose prior knowledge is crucial for searching and analyzing the signals from inspiralling compact binaries, is deduced from an energy balance argument.

Subfields: Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/d36ee7a8650b8ea3f8f5d2bcf3fc15e6b08edeeb

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Citations in the corpus

• Spinning gravitating objects in the effective field theory in the post-Newtonian scheme (2015, background): “An action formalism plays a central role in the various approaches, building in particular on the seminal works in [10] and [11] for flat and curved spacetime, respectively, and see also section 11 of [6] for a review of spinning compact binaries for gravitational radiation.”
• Physics, Astrophysics and Cosmology with Gravitational Waves (2009, methodology): “There are many approaches to this, and we can not do justice here to the enormous effort that has gone into this field in recent years and refer the reader to the Living Reviews by Blanchet [79] and by Futamase & Itoh [169].”
• Radiative contribution to classical gravitational scattering at the third order in G (2020, neutral): “, [67] for a review).”
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs (2018, methodology): “The waveform models used are a reduced-order-model (ROM) [29,76 – 78] of SEOBNRv4 [29] for systems with a total mass greater than 4 M ⊙ and TaylorF2 [38,80] otherwise.”
• The evolution of primordial black holes and their final observable spins (2020, background): “The first considers the formation of binaries in a shared envelope evolution within galactic fields, for which the final spin and the orbital angular momentum are nearly aligned [24], although some astrophysical models predict spin misalignment (see, e.”