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The parameter space favourable for the resonant excitation of free oscillation modes by dynamic tides in close binary components is explored using qualitative considerations to estimate the order of magnitude of the tidal force and the…

Astrophysics · Physics 2009-11-10 B. Willems

We study the linear, but fully non-adiabatic tidal response of a uniformly rotating, somewhat evolved X_c=0.4, 10 Msun main sequence star to the dominant l=2 components of its binary companion's tidal potential. This is done numerically…

Astrophysics · Physics 2007-05-23 M. G. Witte , G. J. Savonije

Neutron stars in coalescing binaries deform due to the tidal gravitational fields generated by their companions. During the inspiral phase, the tidal deformation is dominated by the fundamental oscillation ($f$-) mode of the stars. The tide…

General Relativity and Quantum Cosmology · Physics 2025-03-25 K. J. Kwon , Hang Yu , Tejaswi Venumadhav

The response of astrophysical compact objects to external tidal fields carries valuable information on the nature of these objects, on the equation of state of matter, and on the underlying gravitational theory. In this work, we highlight…

General Relativity and Quantum Cosmology · Physics 2025-04-23 Takuya Katagiri , Kent Yagi , Vitor Cardoso

Under tidal forcing, icy satellites with subsurface oceans deform as if the surface were a membrane stretched around a fluid layer. `Membrane worlds' is thus a fitting name for these bodies and membrane theory provides the perfect toolbox…

Geophysics · Physics 2015-10-26 Mikael Beuthe

The tidal deformations of neutron stars within an inspiraling compact binary alter the orbital dynamics, imprinting a signature on the gravitational wave signal. Modeling this signal could be done with numerical-relativity simulations, but…

General Relativity and Quantum Cosmology · Physics 2020-07-13 Kevin Barkett , Yanbei Chen , Mark A. Scheel , Vijay Varma

We study the effect of rotation on the excitation of internal oscillation modes of a star by the external gravitational potential of its companion. Unlike the nonrotating case, there are difficulties with the usual mode decomposition for…

Astrophysics · Physics 2009-10-30 Dong Lai

One of largest uncertainties in nuclear physics is the relation between the pressure and density of supranuclear matter: the equation of state. Some of this uncertainty may be removed through future gravitational wave observations of…

General Relativity and Quantum Cosmology · Physics 2018-10-16 Kent Yagi , Nicolas Yunes

We study the various linear responses of neutron stars to external relativistic tidal fields. We focus on three different tidal responses, associated to three different tidal coefficients: (i) a gravito-electric-type coefficient…

General Relativity and Quantum Cosmology · Physics 2009-12-03 Thibault Damour , Alessandro Nagar

The first detection of gravitational waves (GWs) from the binary neutron star (NS) inspiral GW170817 has opened a unique channel for probing the fundamental properties of matter at supra-nuclear densities inaccessible elsewhere in the…

General Relativity and Quantum Cosmology · Physics 2020-06-03 Geraint Pratten , Patricia Schmidt , Tanja Hinderer

We investigate the constraints on the mass and radius of neutron stars by considering the tidal deformability in the merge of neutron star binaries. In order to extract the most reliable range of uncertainty from theory, we employ models…

Nuclear Theory · Physics 2019-01-02 Young-Min Kim , Yeunhwan Lim , Kyujin Kwak , Chang Ho Hyun , Chang-Hwan Lee

We compute the internal modes of a nonspinning neutron star and its tidal metric perturbation in general relativity, and determine the effect of relativistic corrections to the modes on mode coupling. Claims have been made that a new…

General Relativity and Quantum Cosmology · Physics 2023-03-06 Fatemeh Hossein Nouri , Sukanta Bose , Matthew D. Duez , Abhishek Das

The moment of inertia and tidal deformability of idealized stars with polytropic equations of state (EOSs) are numerically calculated under both Newtonian gravity and general relativity (GR). The results explicitly confirm that the relation…

General Relativity and Quantum Cosmology · Physics 2025-01-14 Rui Xu , Alejandro Torres-Orjuela , Lars Andersson , Pau Amaro Seoane

Measurements of the properties of binary neutron star systems from gravitational-wave observations require accurate theoretical models for such signals. However, current models are incomplete, as they do not take into account all of the…

General Relativity and Quantum Cosmology · Physics 2018-11-07 Reetika Dudi , Francesco Pannarale , Tim Dietrich , Mark Hannam , Sebastiano Bernuzzi , Frank Ohme , Bernd Bruegmann

At the extreme densities in neutron stars, a phase transition to deconfined quark matter is anticipated. Yet masses, radii and tidal deformabilities offer only indirect measures of a first-order phase transition, requiring many detections…

General Relativity and Quantum Cosmology · Physics 2025-08-25 A. R. Counsell , F. Gittins , N. Andersson , I. Tews

Gravitational wave (GW) astronomy has consolidated its role as a new observational window to reveal the properties of compact binaries in the Universe. In particular, the discovery of the first binary neutron star coalescence, GW170817, led…

General Relativity and Quantum Cosmology · Physics 2018-12-26 Anuradha Samajdar , Tim Dietrich

In Newtonian gravitational theory, a tidal Love number relates the mass multipole moment created by tidal forces on a spherical body to the applied tidal field. The Love number is dimensionless, and it encodes information about the body's…

General Relativity and Quantum Cosmology · Physics 2009-10-29 Taylor Binnington , Eric Poisson

The thermodynamic relation between pressure and density (i.e. the equation of state) of cold supranuclear matter is critical in describing neutron stars, yet it remains one of the largest uncertainties in nuclear physics. The extraction of…

General Relativity and Quantum Cosmology · Physics 2022-03-11 Zack Carson , Katerina Chatziioannou , Carl-Johan Haster , Kent Yagi , Nicolás Yunes

In coalescing neutron star binaries, r-modes in one of the stars can be resonantly excited by the gravitomagnetic tidal field of its companion. This post-Newtonian gravitomagnetic driving of these modes dominates over the Newtonian tidal…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Éanna É. Flanagan , Étienne Racine

We study the effect of tidal forcing on gravitational wave signals from tidally relaxed white dwarf pairs in the LISA, DECIGO and BBO frequency band ($0.1-100\,{\rm mHz}$). We show that for stars not in hydrostatic equilibrium (in their own…

High Energy Astrophysical Phenomena · Physics 2020-01-08 L. O. McNeill , Rosemary A. Mardling , B. Müller
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