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A neutron star in an inspiraling binary system is tidally deformed by its companion, and the effect leaves a measurable imprint on the emitted gravitational waves. While the tidal interaction falls within the regime of static tides during…

General Relativity and Quantum Cosmology · Physics 2024-03-07 Tristan Pitre , Eric Poisson

Time-dependent tidal interactions during the late inspiral of binary neutron stars encode valuable information about neutron-star structure, but systematically extending the familiar Newtonian mode-sum picture into full general relativity…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Abhishek Hegade K. R. , K. J. Kwon , Tejaswi Venumadhav , Hang Yu , Nicolas Yunes

We present a gravitoelectric quadrupolar dynamical tidal-interaction Hamiltonian for a compact binary system, that is valid to second order in the post-Newtonian expansion. Our derivation uses the diagrammatic effective field theory…

High Energy Physics - Theory · Physics 2024-02-28 Manoj K. Mandal , Pierpaolo Mastrolia , Hector O. Silva , Raj Patil , Jan Steinhoff

This report is a review of Darwin's classical theory of bodily tides in which we present the analytical expressions for the orbital and rotational evolution of the bodies and for the energy dissipation rates due to their tidal interaction.…

Astrophysics · Physics 2009-06-19 Sylvio Ferraz-Mello , Adrián Rodríguez , Hauke Hussmann

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

Thermal tides can torque the atmosphere of hot Jupiters into asynchronous rotation, while these planets are usually assumed to be locked into spin-orbit synchronization with their host star. In this work, our goal is to characterize the…

Earth and Planetary Astrophysics · Physics 2018-06-06 Pierre Auclair-Desrotour , Jérémy Leconte

We simulate the propagation and dissipation of tidally induced nonlinear gravity waves in the cores of solar-type stars. We perform hydrodynamical simulations of a previously developed Boussinesq model using a spectral-element code to study…

Solar and Stellar Astrophysics · Physics 2023-03-08 Zhao Guo , Gordon I. Ogilvie , Adrian J. Barker

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

While dynamical tides only become relevant during the last couple of orbits for circular inspirals, orbital eccentricity can increase their impact during earlier phases of the inspiral by exciting tidal oscillations at each close encounter.…

High Energy Astrophysical Phenomena · Physics 2025-02-07 János Takátsy , Bence Kocsis , Péter Kovács

We present the multipole component form of the gravitational wave tidal phase for compact binary coalescences (MultipoleTidal), which consists of the mass quadrupole, the current quadrupole, and the mass octupole moments. We demonstrate the…

General Relativity and Quantum Cosmology · Physics 2025-04-18 Tatsuya Narikawa

We study the effect of superfluidity on the tidal response of a neutron star in a general relativistic framework. In this work, we take a dual-layer approach where the superfluid matter is confined in the core of the star. Then, the…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Sayak Datta , Prasanta Char

We develop a description of tidal effects in astrophysical systems using effective field theory techniques. While our approach is equally capable of describing objects in the Newtonian regime (e.g. moons, rocky planets, main sequence stars,…

General Relativity and Quantum Cosmology · Physics 2016-03-29 Solomon Endlich , Riccardo Penco

This paper describes the different steps to include the adiabatic tidal effects to the gravitational waveform amplitude for quasi-circular non-spinning compact binaries up to the second-and-a-half post-Newtonian (PN) order. The amplitude,…

General Relativity and Quantum Cosmology · Physics 2025-04-18 Eve Dones , Quentin Henry , Laura Bernard

Planetary systems evolve over secular time scales. One of the key mechanisms that drive this evolution is tidal dissipation. Submitted to tides, stellar and planetary fluid layers do not behave like rocky ones. Indeed, they are the place of…

Earth and Planetary Astrophysics · Physics 2015-10-05 Pierre Auclair-Desrotour , Stéphane Mathis , Christophe Le Poncin-Lafitte

We develop a numerical method for directly computing the dissipative dynamical tidal response of rapidly rotating, oblate stars and gaseous planets with realistic internal structures. Applying these calculations to neutrally and stably…

Earth and Planetary Astrophysics · Physics 2023-04-12 Janosz W. Dewberry

The gravitational wave signal from a binary neutron star inspiral contains information on the nuclear equation of state. This information is contained in a combination of the tidal polarizability parameters of the two neutron stars and is…

General Relativity and Quantum Cosmology · Physics 2016-06-01 Thibault Damour , Alessandro Nagar , Loic Villain

We construct the external metric of a slowly rotating, tidally deformed material body in general relativity. The tidal forces acting on the body are assumed to be weak and to vary slowly with time, and the metric is obtained as a…

General Relativity and Quantum Cosmology · Physics 2015-08-03 Philippe Landry , Eric Poisson

Gravitational waves from neutron star binary inspirals contain information on strongly-interacting matter in unexplored, extreme regimes. Extracting this requires robust theoretical models of the signatures of matter in the…

General Relativity and Quantum Cosmology · Physics 2021-08-18 Jan Steinhoff , Tanja Hinderer , Tim Dietrich , Francois Foucart

Finite size effects come into play during the late stages of neutron star binary inspiral, with the tidal deformability of the supranuclear density matter leaving an imprint on the gravitational-wave signal. As demonstrated in the case of…

High Energy Astrophysical Phenomena · Physics 2020-04-08 N. Andersson , P. Pnigouras

Dynamical tides can provide us vital information about the properties of neutron star (NS) matter. This is particularly true for g-modes, whose frequency and tidal coupling are highly sensitive to the composition of NSs, especially in their…

High Energy Astrophysical Phenomena · Physics 2026-02-18 János Takátsy , Lorenz Zwick , Pankaj Saini , Johan Samsing