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Tidal forces cause inspiralling binary neutron stars to deform, leaving a measurable imprint on the gravitational waves they emit. The induced stellar multipoles are an added source of gravitational radiation and modify the orbital…

General Relativity and Quantum Cosmology · Physics 2018-05-07 Philippe Landry

The deformation of a nonrotating body resulting from the application of a tidal field is measured by two sets of Love numbers associated with the gravitoelectric and gravitomagnetic pieces of the tidal field, respectively. The…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Philippe Landry , Eric Poisson

During the final stages of a neutron-star binary coalescence, stellar quasi-normal modes can become resonantly excited by tidal fields. If the strain exerted by the excited modes exceeds the extent to which the crust can respond linearly,…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Hao-Jui Kuan , Arthur G. Suvorov , Kostas D. Kokkotas

We introduce a phenomenological, physically motivated, model for the effective tidal deformability of a neutron star, adding the frequency dependence (associated with the star's fundamental mode of oscillation) that comes into play during…

General Relativity and Quantum Cosmology · Physics 2021-02-09 N. Andersson , P. Pnigouras

We develop a fully relativistic approach for determining the response of a compact star to a time/frequency dependent (tidal) environment. The strategy involves matching the solution for the linearised fluid dynamics in the star's interior…

General Relativity and Quantum Cosmology · Physics 2026-03-25 Nils Andersson , Rhys Counsell , Fabian Gittins , Suprovo Ghosh

In coalescing neutron star (NS) binaries, tidal force can resonantly excite low-frequency (< 500 Hz) oscillation modes in the NS, transferring energy between the orbit and the NS. This resonant tide can induce phase shift in the…

High Energy Astrophysical Phenomena · Physics 2017-10-11 Wenrui Xu , Dong Lai

We carefully develop the framework required to model the dynamical tidal response of a spinning neutron star in an inspiralling binary system, in the context of Newtonian gravity, making sure to include all relevant details and connections…

General Relativity and Quantum Cosmology · Physics 2024-01-05 Pantelis Pnigouras , Fabian Gittins , Amlan Nanda , Nils Andersson , David Ian Jones

The gravitational wave signal from an inspiralling binary neutron star system will contain detailed information about tidal coupling in the system, and thus, about the internal physics of the neutron stars. To extract this information will…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Justin Vines , Tanja Hinderer , Éanna É. Flanagan

By solving Laplace's tidal equations with friction terms we study the surface tide on a rapidly rotating body. When $\epsilon=\Omega^2 R/g$, the square of the ratio of dynamical timescale to rotational timescale, is very small for the Earth…

Solar and Stellar Astrophysics · Physics 2019-02-13 Xing Wei

When a self-gravitating body (e.g., a neutron star or black hole) interacts with an external tidal field (e.g., that of a binary companion), the interaction can do work on the body, changing its mass-energy. The details of this "tidal…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Patricia Purdue

We examine the motion and tidal dynamics of a nonrotating black hole placed within a post-Newtonian external spacetime. The tidal perturbation created by the external environment is treated as a small perturbation. At a large distance from…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stephanne Taylor , Eric Poisson

We examine the inertial modes of vibration of a Maclaurin spheroid and determine how they are driven by an external tidal field, either Newtonian (gravitoelectric) or post-Newtonian (gravitomagnetic). The context and motivation for this…

General Relativity and Quantum Cosmology · Physics 2020-11-11 Eric Poisson , Cyann Buisson

Gravitational waves (GWs) from inspiralling neutron stars afford us a unique opportunity to infer the as-of-yet unknown equation of state of cold hadronic matter at supranuclear densities. During the inspiral, the dominant matter effects…

High Energy Astrophysical Phenomena · Physics 2022-09-28 Geraint Pratten , Patricia Schmidt , Natalie Williams

We study the resonant tidal excitation of g modes in coalescing superfluid neutron star (NS) binaries and investigate how such tidal driving impacts the gravitational-wave (GW) signal of the inspiral. Previous studies of this type treated…

High Energy Astrophysical Phenomena · Physics 2016-12-06 Hang Yu , Nevin N. Weinberg

The post-Minkowskian approach to gravitationally interacting binary systems ({\it i.e.}, perturbation theory in $G$, without assuming small velocities) is extended to the computation of the dynamical effects induced by the tidal…

General Relativity and Quantum Cosmology · Physics 2020-02-26 Donato Bini , Thibault Damour , Andrea Geralico

Dissipative tidal interactions can be used to probe the out-of-equilibrium physics of neutron stars using gravitational wave observations. In this paper, we present the first post-Newtonian (PN) corrections to the orbital dynamics of a…

General Relativity and Quantum Cosmology · Physics 2025-01-15 Abhishek Hegade K. R. , Justin L. Ripley , Nicolás Yunes

We investigate the dynamical tide in a gravitational wave (GW)-driven coalescing binary involving a neutron star (NS). The NS is assumed to spin rapidly, with its spin axis anti-aligned with the orbit. Such an NS may exist if the binary…

General Relativity and Quantum Cosmology · Physics 2024-07-19 Hang Yu , Phil Arras , Nevin N. Weinberg

Within scalar-tensor (ST) theories, neutron stars in binary systems experience tidal deformations caused by both their companion and the scalar field. These deformations are strongly correlated to the star's internal structure and…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Eve Dones , Laura Bernard

We compute tidal signatures in the gravitational waves (GWs) from neutron star binary inspirals in scalar-tensor gravity, where the dominant adiabatic even-parity tidal interactions involve three types of Love numbers that depend on the…

General Relativity and Quantum Cosmology · Physics 2025-08-04 Gastón Creci , Iris van Gemeren , Tanja Hinderer , Jan Steinhoff

Tidal deformabilities are one of the observable quantities characterizing neutron stars, which are strongly associated with the stellar compactness, the ratio of the stellar mass to the radius. In addition to the tidal deformability, the…

High Energy Astrophysical Phenomena · Physics 2026-02-24 Hajime Sotani