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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

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

We compute the instantaneous contributions to the spherical harmonic modes of gravitational waveforms from compact binary systems in general orbits up to the third post-Newtonian order. We further extend these results for compact binaries…

General Relativity and Quantum Cosmology · Physics 2015-05-12 Chandra Kant Mishra , K. G. Arun , Bala R. Iyer

A yet undetected class of GW signals is represented by the close encounters between compact objects in highly-eccentric e~1 orbits, that can occur in binary systems formed in dense environments such as globular clusters. The expected…

General Relativity and Quantum Cosmology · Physics 2025-09-26 Federico De Santi , Massimiliano Razzano , Francesco Fidecaro , Luca Muccillo , Lucia Papalini , Barbara Patricelli

Eccentric compact binary mergers are significant scientific targets for current and future gravitational wave observatories. To detect and analyze eccentric signals, there is an increasing effort to develop waveform models, numerical…

General Relativity and Quantum Cosmology · Physics 2023-11-10 Md Arif Shaikh , Vijay Varma , Harald P. Pfeiffer , Antoni Ramos-Buades , Maarten van de Meent

Gravitational waves radiated by the coalescence of compact-object binaries containing a neutron star and a black hole are one of the most interesting sources for the ground-based gravitational-wave observatories Advanced LIGO and Advanced…

General Relativity and Quantum Cosmology · Physics 2014-05-21 Alexander H. Nitz , Andrew Lundgren , Duncan A. Brown , Evan Ochsner , Drew Keppel , Ian W. Harry

Compact binaries that emit gravitational waves in the sensitivity band of ground-based detectors can have non-negligible eccentricities just prior to merger, depending on the formation scenario. We develop a purely analytic,…

General Relativity and Quantum Cosmology · Physics 2014-10-15 E. A. Huerta , Prayush Kumar , Sean T. McWilliams , Richard O'Shaughnessy , Nicolas Yunes

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…

General Relativity and Quantum Cosmology · Physics 2011-09-30 Frank Ohme , Mark Hannam , Sascha Husa

Extracting the properties of a binary system emitting gravitational waves relies on models describing the last stages of the compact binary coalescence. In this article, we study potential biases inherent to current tidal waveform…

General Relativity and Quantum Cosmology · Physics 2019-07-31 Anuradha Samajdar , Tim Dietrich

The parametrized post-Einsteinian (ppE) framework and its variants are widely used to probe gravity through gravitational-wave tests that apply to a large class of theories beyond general relativity. However, the ppE framework is not truly…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Yiqi Xie , Deep Chatterjee , Gautham Narayan , Nicolás Yunes

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

Weakly-modelled searches for gravitational waves are essential for ensuring that all potential sources are accounted for in detection efforts, as they make minimal assumptions regarding source morphology. While these searches primarily…

General Relativity and Quantum Cosmology · Physics 2025-10-06 Leigh Smith , Matteo Scialpi , Francesco di Clemente , Michał Bejger

We present a new phenomenological gravitational waveform model for the inspiral and coalescence of non-precessing spinning black hole binaries. Our approach is based on a frequency domain matching of post-Newtonian inspiral waveforms with…

General Relativity and Quantum Cosmology · Physics 2015-03-17 L. Santamaria , F. Ohme , P. Ajith , B. Bruegmann , N. Dorband , M. Hannam , S. Husa , P. Moesta , D. Pollney , C. Reisswig , E. L. Robinson , J. Seiler , B. Krishnan

The article provides full-analytic gravitational wave (GW) forms for eccentric nonspinning compact binaries of arbitrary mass ratio in the time Fourier domain. The semi-analytical property of recent descriptions, i.e. the demand of…

General Relativity and Quantum Cosmology · Physics 2013-03-25 Manuel Tessmer , Gerhard Schaefer

In the adiabatic post-Newtonian (PN) approximation, the phase evolution of gravitational waves (GWs) from inspiralling compact binaries in quasicircular orbits is computed by equating the change in binding energy with the GW flux. This…

General Relativity and Quantum Cosmology · Physics 2016-01-13 Shasvath J. Kapadia , Nathan K. Johnson-McDaniel , Parameswaran Ajith

We here present the first analytic effective fly-by (EFB) waveforms designed to accurately capture the burst of gravitational radiation from the closest approach of highly eccentric compact binaries. The waveforms are constructed by…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Nicholas Loutrel

Gravitational waves from precessing black-hole binaries exhibit features that are absent in nonprecessing systems. The most prominent of these is a parity-violating asymmetry that beams energy and linear momentum preferentially along or…

General Relativity and Quantum Cosmology · Physics 2014-09-24 Michael Boyle , Lawrence E. Kidder , Serguei Ossokine , Harald P. Pfeiffer

The article provides ready-to-use 1pN-accurate frequency-domain gravitational wave forms for eccentric nonspinning compact binaries of arbitrary mass ratio including the first post-Newtonian (1pN) point particle corrections to the far-zone…

General Relativity and Quantum Cosmology · Physics 2011-02-28 Manuel Tessmer , Gerhard Schaefer

Binary compact objects will be among the important sources for the future space-based gravitational wave detectors. Such binary compact objects include stellar massive binary black hole, binary neutron star, binary white dwarf and mixture…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Li-Fang Li , Zhoujian Cao

Analytic modeling of gravitational waves from inspiraling eccentric binaries poses an interesting mathematical challenge. When constructing analytic waveforms in the frequency domain, one has to contend with the fact that the phase of the…

General Relativity and Quantum Cosmology · Physics 2023-10-04 Nicholas Loutrel