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Frequency-domain filters for time-windowed gravitational waves from inspiralling compact binaries are constructed which combine the excellent performance of our previously developed time-domain P-approximants with the analytic convenience…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Thibault Damour , Bala R. Iyer , B. S. Sathyaprakash

During its inspiral stage, a binary black hole (BBH) produces characteristic gravitational wave (GW) signals. The waveform of the GW signals can be described by the physical parameters of BBH, such as the masses of the black holes and the…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Han Gil Choi , Tao Yang , Hyung Mok Lee

The gravitational waveform (GWF) generated by inspiralling compact binaries moving in quasi-circular orbits is computed at the third post-Newtonian (3PN) approximation to general relativity. Our motivation is two-fold: (i) To provide…

General Relativity and Quantum Cosmology · Physics 2012-10-22 Luc Blanchet , Guillaume Faye , Bala R. Iyer , Siddhartha Sinha

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,…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Thibault Damour , Bala R. Iyer , B. S. Sathyaprakash

Pulsar Timing Array (PTA) experiments are expected to be sensitive to gravitational waves (GWs) emitted by individual supermassive black hole binaries (SMBHBs) inspiralling along eccentric orbits. We compare the computational cost of…

General Relativity and Quantum Cosmology · Physics 2023-07-03 Abhimanyu Susobhanan

Characterizing eccentricity in gravitational waveforms in a consistent manner is crucial to facilitate parameter estimation, astrophysical population studies, as well as searches for these rare systems. We present a framework to…

General Relativity and Quantum Cosmology · Physics 2025-02-06 Tousif Islam , Tejaswi Venumadhav

Searches for gravitational waves (GWs) from binary black holes using interferometric GW detectors require the construction of template banks for performing matched filtering while analyzing the data. Placement of templates over the…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Chinmay Kalaghatgi , Parameswaran Ajith , K. G. Arun

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

This paper presents a post-Newtonian (PN) template family of gravitational waveforms from inspiralling compact binaries with non-precessing spins, where the spin effects are described by a single "reduced-spin" parameter. This template…

General Relativity and Quantum Cosmology · Physics 2011-10-20 P. Ajith

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

Early warning of gravitational waves (GWs) is essential for multi-messenger observations of binary neutron star and black hole-neutron star merger events. In this study, we investigate early warning prospects from eccentric compact…

General Relativity and Quantum Cosmology · Physics 2025-07-10 Priyanka Sinha , R. Prasad , Mukesh Kumar Singh , Prayush Kumar , Akash Maurya , Kaushik Paul

While the expectation is that the majority of gravitational wave events observable by ground-based detectors will be emitted by compact binaries in quasi-circular orbits, the growing number of detections suggests the possibility of…

General Relativity and Quantum Cosmology · Physics 2020-12-02 Blake Moore , Nicolás Yunes

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

We present a new iterative method to reduce eccentricity in black-hole-binary simulations. Given a good first estimate of low-eccentricity starting momenta, we evolve puncture initial data for ~4 orbits and construct improved initial…

General Relativity and Quantum Cosmology · Physics 2012-07-23 Michael Pürrer , Sascha Husa , Mark Hannam

Extreme-mass-ratio inspirals (EMRIs) are among the most promising sources for future space-based gravitational-wave (GW) detectors, such as LISA. To fully leverage the scientific potential, the GW templates required for parameter estimation…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Viktor Skoupý

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…

General Relativity and Quantum Cosmology · Physics 2020-11-10 James Healy , Carlos O. Lousto , Hiroyuki Nakano , Yosef Zlochower

Eccentricity, an important parameter of gravitational waves, has been paid more and more attention because it can reflect the dynamics of compact object mergers. Obtaining an accurate and fast gravitational waveform template is of great…

General Relativity and Quantum Cosmology · Physics 2024-11-21 Hao Wang , Yuan-Chuan Zou , Yu Liu

We study the phenomenological consequences of amplitude-corrected post-Newtonian (PN) gravitational waveforms, as opposed to the more commonly used restricted PN waveforms, for the quasi-circular, adiabatic inspiral of compact binary…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Chris Van Den Broeck , Anand S. Sengupta

The standard post-Newtonian approximation to gravitational waveforms, called T-approximants, from non-spinning black hole binaries are known not to be sufficiently accurate close to the last stable orbit of the system. A new approximation,…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Edward K. Porter , B. S. Sathyaprakash

This article presents a study of the sufficient accuracy of post-Newtonian and numerical relativity waveforms for the most demanding usage case: parameter estimation of strong sources in advanced gravitational wave detectors. For black hole…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Ilana MacDonald , Samaya Nissanke , Harald P. Pfeiffer