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With the discovery during the past decade of a large number of extrasolar planets orbiting their parent stars at a distance lower than 0.1 astronomical unit (and the launch and the preparation of dedicated space missions such as CoRoT and…

Astrophysics · Physics 2008-12-12 Stephane Mathis , Christophe Le Poncin-Lafitte

Tidal interactions in coalescing binary neutron stars modify the dynamics of the inspiral and hence imprint a signature on their gravitational wave (GW) signals in the form of an extra phase shift. We need accurate models for the tidal…

General Relativity and Quantum Cosmology · Physics 2023-01-10 Hang Yu , Nevin N. Weinberg , Phil Arras , James Kwon , Tejaswi Venumadhav

This article provides the details on the technical derivation of the gravitational waveform and total gravitational-wave energy flux of non-spinning compact binary systems to the 4PN (fourth post-Newtonian) order beyond the Einstein…

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

A compact binary system implicating at least one rotating neutron star undergoes gravitomagnetic tidal resonances as it inspirals toward its final merger. These have a dynamical impact on the phasing of the emitted gravitational waves. The…

General Relativity and Quantum Cosmology · Physics 2020-08-19 Eric Poisson

We ascertain the effectiveness of the second post-Newtonian approximation to the gravitational waves emitted during the adiabatic inspiral of a compact binary system as templates for signal searches with kilometer-scale interferometric…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Serge Droz , Eric Poisson

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

As a possible alternative to black holes, horizonless compact objects have significant implications for gravitational-wave physics. In this work, we utilize the standard linearized theory of general relativity to calculate the quadrupolar…

General Relativity and Quantum Cosmology · Physics 2023-08-08 Rui-Xin Yang , Fei Xie , Dao-Jun Liu

Extending our previous studies, we perform high-resolution simulations of inspiraling binary neutron stars in numerical relativity. We thoroughly carry through a convergence study in our currently available computational resources with the…

High Energy Astrophysical Phenomena · Physics 2017-11-01 Kenta Kiuchi , Kyohei Kawaguchi , Koutarou Kyutoku , Yuichiro Sekiguchi , Masaru Shibata , Keisuke Taniguchi

It has recently been suggested that the tidal deformation of a neutron star excites daughter p- and g-modes to large amplitudes via a quasi-static instability. This would remove energy from the tidal bulge, resulting in dissipation and…

High Energy Astrophysical Phenomena · Physics 2014-01-24 Tejaswi Venumadhav , Aaron Zimmerman , Christopher M. Hirata

For the analysis of gravitational-wave signals, fast and accurate gravitational-waveform models are required. These enable us to obtain information on the system properties from compact binary mergers. In this article, we introduce the…

General Relativity and Quantum Cosmology · Physics 2024-07-17 Adrian Abac , Tim Dietrich , Alessandra Buonanno , Jan Steinhoff , Maximiliano Ujevic

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

Quasi-universal relations are known to exist among various neutron star observables that do not depend sensitively on the underlying nuclear matter equations of state. For example, some of these relations imply that the tidally induced…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Takuya Katagiri , Gowtham Rishi Mukkamala , Kent Yagi

The rate of tidal evolution of asteroidal binaries is defined by the dynamical Love numbers divided by quality factors. Common is the (often illegitimate) approximation of the dynamical Love numbers with their static counterparts. As the…

Earth and Planetary Astrophysics · Physics 2015-11-24 Michael Efroimsky

The inclusion of finite-size effects in the gravitational waveform templates allows not only to constrain the internal structure of compact objects, but to test deviations from general relativity. Here, we address the problem of tidal…

General Relativity and Quantum Cosmology · Physics 2023-03-02 Laura Bernard

We investigate the tidal resonance of the fundamental ($f$-)mode in spinning neutron stars, robustly tracing the onset of the excitation to its saturation, using numerical relativity for the first time. We performed long-term…

High Energy Physics - Phenomenology · Physics 2025-09-17 Hao-Jui Kuan , Kenta Kiuchi , Masaru Shibata

The late part of the gravitational wave signal of binary neutron star inspirals can in principle yield crucial information on the nuclear equation of state via its dependence on relativistic tidal parameters. In the hope of analytically…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Thibault Damour , Alessandro Nagar

Rossby modes (r-modes) of rotating neutron stars can be excited by the gravitomagnetic forces in coalescing binary systems. The previous study by Flanagan and Racine [Phys. Rev. D 75, 044001 (2007)] showed that this kind of dynamical tide…

General Relativity and Quantum Cosmology · Physics 2021-03-16 Sizheng Ma , Hang Yu , Yanbei Chen

Using the multipolar post-Minkowskian and matching formalism we compute the gravitational waveform of inspiralling compact binaries moving in quasi-circular orbits at the second and a half post-Newtonian (2.5PN) approximation to general…

General Relativity and Quantum Cosmology · Physics 2014-11-17 K G Arun , Luc Blanchet , Bala R Iyer , Moh'd S S Qusailah

Compact binaries inspiralling along eccentric orbits are plausible gravitational wave (GW) sources for the ground-based laser interferometers. We explore the losses in the event rates incurred when searching for GWs from compact binaries…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Tessmer , A. Gopakumar

We present a detailed study of the hydrodynamical interactions in a Newtonian black hole-neutron star binary during the last stages of inspiral. We consider close binaries which are tidally locked, use a stiff equation of state (with an…

Astrophysics · Physics 2009-10-30 William H. Lee , Wlodzimierz Kluzniak
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