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Gravitational-wave signals from compact binary coalescences are most efficiently identified through matched filter searches, which match the data against a pre-generated bank of gravitational-wave templates. Although different techniques…

General Relativity and Quantum Cosmology · Physics 2023-03-31 Connor McIsaac , Charlie Hoy , Ian Harry

Galactic binaries, and notably double white dwarfs systems, will be a prominent source for the future LISA and Einstein Telescope detectors. Contrarily to the black holes observed by the current LIGO-Virgo-KAGRA network, such objects bear…

General Relativity and Quantum Cosmology · Physics 2023-07-14 Quentin Henry , François Larrouturou , Christophe Le Poncin-Lafitte

The phase space of a Hamiltonian system is symplectic. However, the post-Newtonian Hamiltonian formulation of spinning compact binaries in existing publications does not have this property, when position, momentum and spin variables $[X, P,…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Xin Wu , Yi Xie

Activities in data analysis and numerical simulation of gravitational waves have to date largely proceeded independently. In this work we study how waveforms obtained from numerical simulations could be effectively used within the data…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas Baumgarte , Patrick Brady , Jolien D E Creighton , Luis Lehner , Frans Pretorius , Ricky DeVoe

We introduce a new theoretical framework based on Feynman diagrams to compute phase shifts in matter wave interferometry. The method allows for analytic computation of higher order quantum corrections, beyond the traditional semi-classical…

Atomic Physics · Physics 2026-05-14 Jonah Glick , Tim Kovachy

Compact binaries inspiralling along quasi-circular orbits are the most plausible gravitational wave (GW) sources for the operational, planned and proposed laser interferometers. We provide new class of restricted post-Newtonian accurate GW…

General Relativity and Quantum Cosmology · Physics 2007-12-20 Achamveedu Gopakumar

Matched-filter searches for gravitational waves from coalescing compact binaries by the LIGO Scientific Collaboration use the FINDCHIRP algorithm: an implementation of the optimal filter with innovations to account for unknown signal…

General Relativity and Quantum Cosmology · Physics 2017-09-19 Bruce Allen , Warren G. Anderson , Patrick R. Brady , Duncan A. Brown , Jolien D. E. Creighton

Inspiraling compact binaries have been identified as one of the most promising sources of gravitational waves for interferometric detectors. Most of these binaries are expected to have circularized by the time their gravitational waves…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Karl Martel , Eric Poisson

The inspiral phase of gravitational waves emitted by spinless compact binary systems is derived through the fourth-and-a-half post-Newtonian (4.5PN) order beyond quadrupole radiation, and the leading amplitude mode ($\ell$, m) = (2, 2) is…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Luc Blanchet , Guillaume Faye , Quentin Henry , François Larrouturou , David Trestini

Coalescing binary systems are one of the most promising sources of gravitational waves. The technique of matched filtering used in the detection of gravitational waves from coalescing binaries relies on the construction of accurate…

General Relativity and Quantum Cosmology · Physics 2011-09-09 R. Balasubramanian , S. V. Dhurandhar

In this thesis, we use numerical relativity to investigate gravitational waves from binary black holes in extensions of GR. We first study spherically symmetric gravitational collapse in cubic Horndeski theories of gravity. By varying the…

General Relativity and Quantum Cosmology · Physics 2023-08-24 Tiago França

We discuss the coherent search strategy to detect gravitational waves from inspiraling compact binaries by a network of correlated laser interferometric detectors. From the maximum likelihood ratio statistic, we obtain a coherent statistic…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hideyuki Tagoshi , Himan Mukhopadhyay , Sanjeev Dhurandhar , Norichika Sago , Hirotaka Takahashi , Nobuyuki Kanda

We investigate the (conservative) dynamics of binary black holes using the Hamiltonian formulation of the post-Newtonian (PN) equations of motion. The Hamiltonian we use includes spin-orbit coupling, spin-spin coupling, and mass…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Michael D. Hartl , Alessandra Buonanno

The detection of gravitational waves has offered us the opportunity to explore the dynamical and strong-field regime of gravity. Because matched filtering is more sensitive to variations in the gravitational waveform phase than the…

General Relativity and Quantum Cosmology · Physics 2020-01-01 Shammi Tahura , Kent Yagi , Zack Carson

The gravitational wave, traveling a long cosmological distance to reach interferometers, interacts with the (homogeneous and isotropic) cosmological background, so generally speaking, its amplitude and phase are modified in some nontrivial…

General Relativity and Quantum Cosmology · Physics 2020-04-27 Shaoqi Hou , Xi-Long Fan , Zong-Hong Zhu

Observing gravitational waves from sub-solar-mass, inspiraling compact binaries would provide almost smoking-gun evidence for primordial black holes. Here, we develop a method to search for ultra-compact binaries with chirp masses ranging…

General Relativity and Quantum Cosmology · Physics 2025-12-15 Andrew L. Miller , Lorenzo Pierini

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

Gravitational-wave (GW) observations of compact binaries have the potential to unlock several remarkable applications in astrophysics, cosmology, and nuclear physics through accurate measurements of the source luminosity distance and…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Adriano Frattale Mascioli , Francesco Crescimbeni , Costantino Pacilio , Paolo Pani , Francesco Pannarale

Inspiralling compact binaries are expected to circularize before their gravitational-wave signals reach the sensitive frequency band of ground-based detectors. Current searches for gravitational waves from compact binaries using the LIGO…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Duncan A. Brown , Peter J. Zimmerman

Targeted searches of continuous waves from spinning neutron stars normally assume that the frequency of the gravitational wave signal is at a given known ratio with respect to the rotational frequency of the source, e.g. twice for an…

Instrumentation and Methods for Astrophysics · Physics 2015-06-19 Pia Astone , Alberto Colla , Sabrina D'Antonio , Sergio Frasca , Cristiano Palomba , Roberto Serafinelli
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