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The set up of matched filters for the detection of gravitational waves from in-spiraling compact binaries is usually carried out using the restricted post-Newtonian approximation: the filter phase is modelled including post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. M. Sintes , A. Vecchio

We derive all second post-Newtonian (2PN), non-precessional effects of spin- orbit coupling on the gravitational wave forms emitted by an inspiraling binary composed of spinning, compact bodies in a quasicircular orbit. Previous post-…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Benjamin J. Owen , Hideyuki Tagoshi , Akira Ohashi

We obtain analytical gravitational waveforms in the frequency-domain for precessing, quasi-circular compact binaries with small spins, applicable, for example, to binary neutron star inspirals. We begin by calculating an analytic solution…

General Relativity and Quantum Cosmology · Physics 2013-10-01 Katerina Chatziioannou , Antoine Klein , Nicolas Yunes , Neil Cornish

We investigate gravitational waveforms from the inspiral phase of compact binary systems within the framework of quadratic gravity and map their deviations from general relativity into the parameterized post-Einstein (PPE) formalism to…

General Relativity and Quantum Cosmology · Physics 2026-01-19 Matheus F. S. Alves , L. G. Medeiros , Davi C. Rodrigues

Complete waveform models able to account for arbitrary non-planar orbits represent a holy grail in current gravitational-wave astronomy. Here, we take a step towards this direction and present a simple yet efficient prescription to obtain…

General Relativity and Quantum Cosmology · Physics 2024-06-27 Rossella Gamba , Danilo Chiaramello , Sayan Neogi

This paper derives the total power or energy loss rate generated in the form of gravitational waves by an inspiralling compact binary system to the five halves post-Newtonian (2.5PN) approximation of general relativity. Extending a recently…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Luc Blanchet

(Abridged): The standard adiabatic approximation to phasing of gravitational waves from inspiralling compact binaries uses the post-Newtonian expansions of the binding energy and gravitational wave flux both truncated at the same relative…

General Relativity and Quantum Cosmology · Physics 2014-11-17 P. Ajith , Bala R. Iyer , C. A. K. Robinson , B. S. Sathyaprakash

The far-zone flux of energy contains hereditary (tail) contributions that depend on the entire past history of the source. Using the multipolar post-Minkowskian wave generation formalism, we propose and implement a semi-analytical method in…

General Relativity and Quantum Cosmology · Physics 2009-11-13 K G Arun , Luc Blanchet , Bala R Iyer , Moh'd S S Qusailah

Orbital eccentricity in compact binaries is considered to be a key tracer of their astrophysical origin, and can be inferred from gravitational-wave observations due to its imprint on the emitted signal. For a robust measurement, accurate…

General Relativity and Quantum Cosmology · Physics 2024-12-11 Alice Bonino , Patricia Schmidt , Geraint Pratten

Recently, a new class of restricted gravitational wave search templates, termed the TaylorEt template was proposed for the search of inspiralling compact binaries. The TaylorEt approximant is different from the usual time-domain…

General Relativity and Quantum Cosmology · Physics 2010-03-26 Manuel Tessmer

We compute the gravitational-wave (GW) energy flux up to the next-to-next-to-leading (NNL) order of tidal effects in a spinless compact binary system on quasi-circular orbits. Starting from an effective matter action, we obtain the…

General Relativity and Quantum Cosmology · Physics 2024-11-15 Quentin Henry , Guillaume Faye , Luc Blanchet

We compute the tail contributions to the gravitational-wave mode amplitudes for compact binaries in eccentric orbits at the third post-Newtonian order of general relativity. We combine them with the already available instantaneous pieces…

General Relativity and Quantum Cosmology · Physics 2019-09-24 Yannick Boetzel , Chandra Kant Mishra , Guillaume Faye , Achamveedu Gopakumar , Bala R. Iyer

This work is based on the letter Phys. Lett. B, 865, 139484 (2025), where we developed the analytical expression of the coordinate time in terms of the eccentric anomaly at the second post-Newtonian order in General Relativity for a compact…

General Relativity and Quantum Cosmology · Physics 2026-01-14 Vittorio De Falco , Marco Gallo

We study the performance of various analytical frequency-domain templates for detection and parameter estimation of gravitational waves from spin-precessing, quasi-circular, compact binary inspirals. We begin by assessing the extent to…

General Relativity and Quantum Cosmology · Physics 2014-05-16 Katerina Chatziioannou , Neil Cornish , Antoine Klein , Nicolas Yunes

We revisit the accuracy of the post-Newtonian (PN) approximation and its region of validity for quasi-circular orbits of a point particle in the Kerr spacetime, by using an analytically known highest post-Newtonian order gravitational…

General Relativity and Quantum Cosmology · Physics 2016-05-27 Norichika Sago , Ryuichi Fujita , Hiroyuki Nakano

Eccentric compact binaries pose not only a challenge for gravitational wave detectors, but also provide a probe into the nuclear equation of state if one of the objects is a neutron star. At the short pericenter passage, tidal interactions…

General Relativity and Quantum Cosmology · Physics 2022-02-10 Jose Nijaid Arredondo , Nicholas Loutrel

While dynamical tides only become relevant during the last couple of orbits for circular inspirals, orbital eccentricity can increase their impact during earlier phases of the inspiral by exciting tidal oscillations at each close encounter.…

High Energy Astrophysical Phenomena · Physics 2025-02-07 János Takátsy , Bence Kocsis , Péter Kovács

Simulation of quasicircular compact binaries is a major goal in numerical relativity, as they are expected to constitute most gravitational wave observations. However, given that orbital eccentricity is not well-defined in general…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Sarah Habib , Mark Scheel , Saul Teukolsky

Using an energy variational method, we calculate quasi-equilibrium configurations of binary neutron stars modeled as compressible triaxial ellipsoids obeying a polytropic equation of state. Our energy functional includes terms both for the…

Astrophysics · Physics 2009-10-30 James C. Lombardi , Frederic A. Rasio , Stuart L. Shapiro

We compute here the spin-orbit and spin-spin couplings needed for an accurate computation of the phasing of gravitational waves emitted by comparable-mass binaries on eccentric orbits at the second post-Newtonian (PN) order. We use a…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Antoine Klein , Philippe Jetzer