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Observations of a merging neutron star binary in both gravitational waves, by the Laser Interferometer Gravitational-wave Observatory (LIGO), and across the spectrum of electromagnetic radiation, by myriad telescopes, have been used to show…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Craig Copi , Glenn D. Starkman

Several recent surprises appear dramatically to have improved the likelihood that the spin of rapidly rotating, newly formed neutron stars (and, possibly, of old stars spun up by accretion) is limited by a nonaxisymmetric instability driven…

General Relativity and Quantum Cosmology · Physics 2017-08-23 John L. Friedman , Keith H. Lockitch

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

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

The nonlinear aspect of gravitational wave generation that produces power at harmonics of the orbital frequency, above the fundamental quadrupole frequency, is examined to see what information about the source is contained in these higher…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Ronald W. Hellings , Thomas A. Moore

A particular example of chaos can be conceived in the interaction of non-linear oscillator with a harmonic gravitational wave. When we replace the linear potential forces by the therm SIN(x), the type of solution becomes subject to external…

chao-dyn · Physics 2007-05-23 G. V. Vlasov

The detection of gravitational waves (GWs) has led to a deeper understanding of binaries of ordinary astrophysical objects, including neutron stars and black holes. In this work, we point out that binary systems may also exist in a dark…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-22 Yang Bai , Sida Lu , Nicholas Orlofsky

Beyond point mass effects various contributions add to the radiative evolution of compact binaries. We present all the terms up to the second post-Newtonian order contributing to the rate of increase of gravitational wave frequency and the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Mátyás Vasúth , Balázs Mikóczi

Gravitational waves from precessing binary black holes exhibit new features that are absent in non-precessionary systems. All current waveform models take into account only the modulation of the signal due to precession. In this letter, we…

General Relativity and Quantum Cosmology · Physics 2022-12-22 Cheng Zhang , Wen-Biao Han , Shu-Cheng Yang

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 next generation of ground-based gravitational-wave detectors are likely to observe gravitational waves from the coalescences of compact-objects binaries. We describe the state of the art for predictions of the rate of compact-binary…

High Energy Astrophysical Phenomena · Physics 2010-01-19 Ilya Mandel , Vicky Kalogera , Richard O'Shaughnessy

We derive spin-orbit coupling effects on the gravitational field and equations of motion of compact binaries in the 2.5 post-Newtonian approximation to general relativity, one PN order beyond where spin effects first appear. Our method is…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Hideyuki Tagoshi , Akira Ohashi , Benjamin J. Owen

We study localized traveling waves and chaotic states in strongly nonlinear one-dimensional Hamiltonian lattices. We show that the solitary waves are super-exponentially localized, and present an accurate numerical method allowing to find…

Pattern Formation and Solitons · Physics 2009-11-13 Karsten Ahnert , Arkady Pikovsky

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

The output of gravitational-wave interferometers, such as LIGO and Virgo, can be highly non-stationary. Broadband detector noise can affect the detector sensitivity on the order of tens of seconds. Gravitational-wave transient searches,…

Instrumentation and Methods for Astrophysics · Physics 2020-08-07 S. Mozzon , L. K. Nuttall , A. Lundgren , T. Dent , S. Kumar , A. H. Nitz

The paper generalizes the structure of gravitational waves from orbiting spinning binaries under leading order spin-orbit coupling, as given in the work by K\"onigsd\"orffer and Gopakumar [PRD 71, 024039 (2005)] for single-spin and…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Manuel Tessmer

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

The secular evolution of a spinning, massive binary system in eccentric orbit is analyzed, expanding and generalizing our previous treatments of the Lense-Thirring motion and the one-spin limit. The spin-orbit and spin-spin effects up to…

General Relativity and Quantum Cosmology · Physics 2009-10-31 László Á. Gergely , Zoltán I. Perjés , Mátyás Vasúth

The probability that interferometric detectors such as LIGO and VIRGO will successfully detect inspiraling compact binaries depends in part on our knowledge of the expected gravitational wave forms. The best approximations to the true wave…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Serge Droz , Eric Poisson

The dynamics of a binary system with two spinning components on an eccentric orbit is studied, with the inclusion of the spin-spin interaction terms appearing at the second post-Newtonian order. A generalized true anomaly parametrization…

General Relativity and Quantum Cosmology · Physics 2009-10-31 László Á. Gergely