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General relativity has very specific predictions for the gravitational waveforms from inspiralling compact binaries obtained using the post-Newtonian (PN) approximation. We investigate the extent to which the measurement of the PN…

广义相对论与量子宇宙学 · 物理学 2014-11-20 Chandra Kant Mishra , K. G. Arun , Bala R. Iyer , B. S. Sathyaprakash

The signal-to-noise ratios (SNRs) for quasi-circular binary black hole inspirals computed from restricted post-Newtonian waveforms are compared with those attained by more complete post-Newtonian signals, which are superpositions of…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Chris Van Den Broeck

A precessing source frame, constructed using the Newtonian orbital angular momentum ${\bf L_{\rm N}}$, can be invoked to model inspiral gravitational waves from generic spinning compact binaries. An attractive feature of such a precessing…

广义相对论与量子宇宙学 · 物理学 2015-08-06 Anuradha Gupta , Achamveedu Gopakumar

Various coefficients of the 3.5 post-Newtonian (PN) phasing formula of non-spinning compact binaries moving in circular orbits is fully characterized by the two component masses. If two of these coefficients are independently measured, the…

广义相对论与量子宇宙学 · 物理学 2015-06-05 Archana Pai , K. G. Arun

We develop a fully analytical waveform model for precessing binaries with arbitrary spin vectors using post-Newtonian~(PN) theory in the extreme mass-ratio limit and a hierarchical multi-scale analysis. The analytical model incorporates…

广义相对论与量子宇宙学 · 物理学 2024-09-11 Nicholas Loutrel , Sajal Mukherjee , Andrea Maselli , Paolo Pani

We present Keplerian-type parametrization for the solution of third post-Newtonian (3PN) accurate equations of motion for two non-spinning compact objects moving in an eccentric orbit. The orbital elements of the parametrization are…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Raoul-Martin Memmesheimer , Achamveedu Gopakumar , Gerhard Schäfer

The post-Newtonian approximation is still the most widely used approach to obtaining explicit solutions in general relativity, especially for the relativistic two-body problem with arbitrary mass ratio. Within many of its applications, it…

广义相对论与量子宇宙学 · 物理学 2014-09-09 Luc Blanchet , Guillaume Faye , Bernard F. Whiting

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 post-Newtonian order 3.5PN for maximally spinning…

广义相对论与量子宇宙学 · 物理学 2013-12-20 Alejandro Bohe , Sylvain Marsat , Luc Blanchet

For black-hole binaries whose spins are (anti-) aligned with respect to the orbital angular momentum of the binary, we compute the frequency domain phasing coefficients including the quadratic-in-spin terms up to the third post-Newtonian…

广义相对论与量子宇宙学 · 物理学 2016-05-04 Chandra Kant Mishra , Aditya Kela , K. G. Arun , Guillaume Faye

The gravitational waveform of a merging stellar-mass binary is described at leading order by a quadrupolar mode. However, the complete waveform includes higher-order modes, which encode valuable information not accessible from the…

天体物理仪器与方法 · 物理学 2019-12-25 Ethan Payne , Colm Talbot , Eric Thrane

We review some recent works on the post-Newtonian theory of slowly-moving (post-Newtonian) sources, and its application to the problems of dynamics and gravitational radiation from compact binary systems. Our current knowledge is 3PN on the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Luc Blanchet

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…

广义相对论与量子宇宙学 · 物理学 2016-11-23 Luc Blanchet

The orbital motion of inspiralling and coalescing black hole binaries can be investigated using a variety of approximation schemes and numerical methods within general relativity: post-Newtonian expansions, black hole perturbation theory,…

广义相对论与量子宇宙学 · 物理学 2011-10-03 Alexandre Le Tiec

The order of the post-Newtonian expansion needed, to extract in a reliable and accurate manner the fully general relativistic gravitational wave signal from inspiralling compact binaries, is explored. A class of approximate wave forms,…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Thibault Damour , Bala R. Iyer , B. S. Sathyaprakash

We use post-Newtonian (PN) approximations to determine the initial orbital and spin parameters of black hole binaries that lead to low-eccentricity inspirals when evolved with numerical relativity techniques. In particular, we seek initial…

广义相对论与量子宇宙学 · 物理学 2020-11-10 James Healy , Carlos O. Lousto , Hiroyuki Nakano , Yosef Zlochower

The current paradigm for constructing waveforms from precessing compact binaries is to first construct a waveform in a non-inertial, co-precessing binary source frame followed by a time-dependent rotation to map back to the physical,…

广义相对论与量子宇宙学 · 物理学 2020-05-20 Antoni Ramos-Buades , Patricia Schmidt , Geraint Pratten , Sascha Husa

Compact binary systems with total masses between tens and hundreds of solar masses will produce gravitational waves during their merger phase that are detectable by second-generation ground-based gravitational-wave detectors. In order to…

广义相对论与量子宇宙学 · 物理学 2013-05-30 Kipp Cannon , Chad Hanna , Drew Keppel

Eccentric binaries are key targets for current and future gravitational wave (GW) detectors, offering unique insights into the formation and environments of compact binaries. However, accurately and efficiently modeling eccentric waveforms…

广义相对论与量子宇宙学 · 物理学 2025-10-09 Gonzalo Morras

With recent advances in post-Newtonian (PN) theory and numerical relativity (NR) it has become possible to construct inspiral-merger-ringdown waveforms by combining both descriptions into one hybrid signal. While addressing the reliability…

广义相对论与量子宇宙学 · 物理学 2011-09-30 Frank Ohme , Mark Hannam , Sascha Husa

The two independent ``plus" and ``cross" polarization waveforms associated with the gravitational waves emitted by inspiralling, non-spinning, compact binaries are presented, ready for use in the data analysis of signals received by future…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Luc Blanchet , Bala R. Iyer , Clifford M. Will , Alan G. Wiseman