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The coupling between the angular momentum of a compact object and an external tidal field gives rise to the "rotational" tidal Love numbers, which affect the tidal deformability of a spinning self-gravitating body and enter the…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Gonçalo Castro , Leonardo Gualtieri , Paolo Pani

Context. The Juno spacecraft has obtained highly accurate tidal Love numbers, which provide important constraints on the tidal response and interior structure of Jupiter. Aims. In order to exploit these observations, it is necessary to…

Earth and Planetary Astrophysics · Physics 2023-03-08 Yufeng Lin

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

We comment on the paper of S. Postnikov et al. in Phys. Rev. D 82, 024016 (2010) and give a modified formula that needs to be taken into account when calculating the tidal Love number of neutron stars in case a first order phase-transition…

High Energy Astrophysical Phenomena · Physics 2020-10-14 János Takátsy , Péter Kovács

We study the tidal response of a superfluid neutron star in a binary system, focussing on Newtonian models with superfluid neutrons present throughout the star's core and the inner crust. Within the two-fluid formalism, we consider the main…

High Energy Astrophysical Phenomena · Physics 2022-06-22 Andrea Passamonti , Nils Andersson , Pantelis Pnigouras

Earth-like planets have viscoelastic mantles, whereas giant planets may have viscoelastic cores. The tidal dissipation of such solid regions, gravitationally perturbed by a companion body, highly depends on their rheology and on the tidal…

Earth and Planetary Astrophysics · Physics 2015-06-04 F. Remus , S. Mathis , J. -P. Zahn , V. Lainey

The response of a gravitating object to an external tidal field is encoded in its Love numbers, which identically vanish for classical blackholes (BHs). Here we show, using standard time-independent quantum perturbation theory, that for a…

General Relativity and Quantum Cosmology · Physics 2022-01-20 Ram Brustein , Yotam Sherf

Io's internal heat is generated by Jupiter-driven tidal dissipation and Laplace resonance. This energy partially melts the mantle, but the melt fraction, depth, and spatial distribution of dissipation remain poorly constrained. Tidal…

Earth and Planetary Astrophysics · Physics 2026-03-20 M. Paris , A. Mura , F. Zambon , A. Genova , F. Tosi , A. Consorzi , G. Mitri , A. Cicchetti , S. Bolton , R. Noschese , G. Piccioni , C. Plainaki , G. Sindoni , R. Sordini

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

In order to accurately model giant planets, a whole set of observational constraints is needed. As the conventional constraints for extrasolar planets like mass, radius, and temperature allow for a large number of acceptable models, a new…

Earth and Planetary Astrophysics · Physics 2015-03-17 U. Kramm , N. Nettelmann , R. Redmer , D. J. Stevenson

We constructed a 6-degrees of freedom rotational model of Titan as a 3-layer body consisting of a rigid core, a fluid global ocean, and a floating ice shell. The ice shell exhibits partially-compensated lateral thickness variations in order…

Earth and Planetary Astrophysics · Physics 2014-03-11 Benoit Noyelles , Francis Nimmo

Using a semi-analytical approach recently developed to model the tidal deformations of neutron stars in inspiralling compact binaries, we study the dynamical evolution of the tidal tensor, which we explicitly derive at second post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2013-05-30 A. Maselli , L. Gualtieri , F. Pannarale , V. Ferrari

The tidal deformability is a key observable to test the nature of compact objects in a binary coalescence. Within vacuum General Relativity, the tidal Love numbers of a four-dimensional black hole are strictly zero, while they are non-zero…

General Relativity and Quantum Cosmology · Physics 2025-06-26 Michela Silvestrini , Elisa Maggio , Sumanta Chakraborty , Paolo Pani

Tidal interactions between Saturn and its satellites play a crucial role in both the orbital migration of the satellites and the heating of their interiors. Therefore constraining the tidal dissipation of Saturn (here the ratio k2/Q) opens…

Earth and Planetary Astrophysics · Physics 2015-06-04 V. Lainey , Ö. Karatekin , J. Desmars , S. Charnoz , J-E. Arlot , N. Emelyanov , C. Le Poncin-Lafitte , S. Mathis , F. Remus , G. Tobie , J-P. Zahn

We compute the quadrupolar gravitoelectric tidal Love numbers of spherical configurations made of anisotropic matter. Anisotropies are introduced within the vanishing complexity factor, while interior solutions are obtained adopting the…

General Relativity and Quantum Cosmology · Physics 2024-11-11 Ángel Rincón , Grigoris Panotopoulos , Ilídio Lopes

In this present work, we suggest studying neutron star with a conformal coupling by using the analytical expressions of realistic equations of state. The equations of perturbed and nonperturbed metrics, scalar field and the pressure of the…

General Relativity and Quantum Cosmology · Physics 2021-10-28 Hamza Boumaza

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

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 investigate the moment of inertia, quadrupole deformation, and tidal deformation within the framework of nonlocal gravity, utilizing the exact modified Tolman-VII (NEMTVII) density model with an isotropic perfect fluid. The Love…

General Relativity and Quantum Cosmology · Physics 2025-09-01 Byon N. Jayawiguna , Piyabut Burikham

Though individual stellar parameters of compact stars usually demonstrate obvious dependence on the equation of state (EOS), EOS-insensitive universal formulas relating these parameters remarkably exist. In the present paper, we explore the…

General Relativity and Quantum Cosmology · Physics 2015-06-22 T. K. Chan , Y. -H. Sham , P. T. Leung , L. -M. Lin