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We derive analytic expressions that provide Fourier domain gravitational wave (GW) response function for compact binaries inspiraling along moderately eccentric orbits. These expressions include amplitude corrections to the two GW…

General Relativity and Quantum Cosmology · Physics 2019-06-19 Srishti Tiwari , Gopakumar Achamveedu , Maria Haney , Phurailatapam Hemantakumar

Gravitational waves contain tail effects that are due to the backscattering of linear waves in the curved space-time geometry around the source. The knowledge as well as the accuracy of the two-body inspiraling post-Newtonian (PN) dynamics…

General Relativity and Quantum Cosmology · Physics 2012-10-03 Luc Blanchet , Alessandra Buonanno , Guillaume Faye

The parameters of inspiralling compact binaries can be estimated using matched filtering of gravitational-waveform templates against the output of laser-interferometric gravitational-wave detectors. Using a recently calculated formula,…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Eric Poisson , Clifford M. Will

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

Taking into account the mass transfer effect, we derive the equations of motion of a compact binary system at the second-half post-Newtonian order. Applying such equations of motion to quasi-circular orbits, we obtain the time derivative of…

General Relativity and Quantum Cosmology · Physics 2025-10-08 Zi-Han Zhang , Tan Liu , Zong-Kuan Guo

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

Within the context of the Effective Field Theory (EFT) framework to gravitational dynamics, we compute the Hamiltonian, source quadrupole moment, and gravitational-wave energy flux for (non-spinning) inspiralling compact binaries at…

General Relativity and Quantum Cosmology · Physics 2024-08-27 Loris Amalberti , Zixin Yang , Rafael A. Porto

Complete expressions of time-domain gravitational waveforms for spinning binary inspirals via the post-Newtonian (PN) approximation would require determination of the phase, amplitude, inclination angle, precession phase and spin vectors as…

General Relativity and Quantum Cosmology · Physics 2010-01-19 Dong-Hoon Kim

We compute the leading and sub-leading spin effects through the second post-Newtonian order (2PN) in spherical harmonic modes of gravitational waveforms from inspiralling compact binaries in non-circular orbits with non-precessing…

General Relativity and Quantum Cosmology · Physics 2023-08-07 Kaushik Paul , Chandra Kant Mishra

Tidal dissipation in spinning compact binaries imprints characteristic corrections on the late-inspiral gravitational-wave signal. We develop a next-to-leading order post-Newtonian description of dissipative, electric-quadrupolar tides in…

General Relativity and Quantum Cosmology · Physics 2026-04-27 Anand Balivada , Abhishek Hegade K. R. , Nicolás Yunes

Exploiting simple yet remarkable properties of relativistic gravitational scattering, we use first-order self-force (linear-in-mass-ratio) results to obtain arbitrary-mass-ratio results for the complete third-subleading post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Andrea Antonelli , Chris Kavanagh , Mohammed Khalil , Jan Steinhoff , Justin Vines

In this article, we focus on the effects of mass transfer between binary stars and stellar spin on the post-Newtonian (PN) orbital evolution and gravitational waveforms of compact binary systems. We employ the 2.5PN approximation and the…

General Relativity and Quantum Cosmology · Physics 2025-02-24 Yifan He , Jie Yang

The construction of ready to use templates for gravitational waves from spinning binaries is an important challenge in the investigation of detectable gravitational wave signals. Here we present a method to evaluate the gravitational wave…

General Relativity and Quantum Cosmology · Physics 2008-11-26 János Majár , Mátyás Vasúth

Compact binaries can have non-negligible orbital eccentricities in the frequency band of ground-based gravitational-wave detectors, depending on their astrophysical formation channels. To accurately determine the parameters of such systems,…

General Relativity and Quantum Cosmology · Physics 2024-12-17 Quentin Henry , Mohammed Khalil

Context. Gravitational waves (GW) provide a unique probe of the explosion mechanism of massive stars and the evolution of nascent proto-neutron stars (PNS). Magnetorotational explosions are one of the promising non-canonical core-collapse…

High Energy Astrophysical Phenomena · Physics 2026-03-24 Shota Shibagaki , Tomoya Takiwaki , Kei Kotake , Takami Kuroda , Tobias Fischer

Gravitational waves provide us with a new window into our Universe, and have already been used to place strong constrains on the existence of light scalar fields, which are a common feature in many alternative theories of gravity. However,…

General Relativity and Quantum Cosmology · Physics 2021-10-28 Philippe Brax , Anne-Christine Davis , Scott Melville , Leong Khim Wong

Stellar-mass compact binaries in eccentric orbits are almost guaranteed sources of gravitational waves for Laser Interferometer Space Antenna. We present a prescription to compute accurate and efficient gravitational-wave polarizations…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Manuel Tessmer , Achamveedu Gopakumar

The post-post-Newtonian (2PN) accurate mass quadrupole moment, for compact binaries of arbitrary mass ratio, moving in general orbits is obtained by the multi-polar post Minkowskian approach of Blanchet, Damour, and Iyer (BDI). Using this,…

General Relativity and Quantum Cosmology · Physics 2014-11-17 A. Gopakumar , Bala R. Iyer

Several scenarios have been proposed in which the orbits of binary black holes enter the band of a gravitational wave detector with significant eccentricity. To avoid missing these signals or biasing parameter estimation it is important…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Neil J. Cornish , Joey Shapiro Key

We study the gravitational wave (GW) emission of sources perturbed by periodic dynamical forces which do not cause secular evolution in the orbital elements. We construct a corresponding post-Newtonian waveform model and provide estimates…

General Relativity and Quantum Cosmology · Physics 2024-10-24 Lorenz Zwick , Christopher Tiede , Alessandro A. Trani , Andrea Derdzinski , Zoltan Haiman , Daniel J. D'Orazio , Johan Samsing