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We investigate the tidal deformability of spherically symmetric axion stars on the stable branches, including the Newtonian and relativistic branches. The results suggest that on the stable branch, the electric Love numbers of axion star…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Jun-Ru Chen , Shi-Xian Sun , Long-Xing Huang , Yong-Qiang Wang

In anticipation of improved observational data for Jupiter's gravitational field from the Juno spacecraft, we predict the static tidal response for a variety of Jupiter interior models based on ab initio computer simulations of…

Earth and Planetary Astrophysics · Physics 2016-07-29 Sean M. Wahl , Willam B. Hubbard , Burkhard Militzer

NASA's Juno mission recently reported Jupiter's high-degree (degree $\ell$, azimuthal order $m$ $=4,2$) Love number $k_{42}=1.289\pm0.063$ ($1\sigma$), an order of magnitude above the hydrostatic $k_{42}$ obtained in a nonrotating Jupiter…

Earth and Planetary Astrophysics · Physics 2022-03-25 Benjamin Idini , David J. Stevenson

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

We examine the tidal deformation of a nonrotating compact body (material body or black hole) in general relativity. The body's exterior metric is calculated in a simultaneous expansion in powers of the ratio between the distance to the body…

General Relativity and Quantum Cosmology · Physics 2021-03-24 Eric Poisson

Context: Tidal and rotational deformation of fluid giant extra-solar planets may impact their transit light curves, making the $k_2$ Love number observable in the upcoming years. Studying the sensitivity of $k_2$ to mass concentration at…

Earth and Planetary Astrophysics · Physics 2023-08-02 Anastasia Consorzi , Daniele Melini , Giorgio Spada

The Juno Orbiter is measuring the three-dimensional gravity field perturbation of Jupiter induced by its rapid rotation, zonal flows, and tidal response to its major natural satellites. This paper aims to provide the contributions to the…

Earth and Planetary Astrophysics · Physics 2019-04-10 Nadine Nettelmann

We present results for the tidal deformability in neutron stars, the tidal Love number $k_2$, and the effective deformability of a binary system. The microscopic equation of state for cold $\beta$-stable neutron matter is based upon…

Nuclear Theory · Physics 2026-05-25 Francesca Sammarruca , Prabin Thapa

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

Tidal Love numbers quantify the conservative static response of compact objects to external tidal fields, and are found to vanish exactly for asymptotically flat black holes in four-dimensional general relativity. Many aspects of the…

General Relativity and Quantum Cosmology · Physics 2025-02-17 Valerio De Luca , Brandon Khek , Justin Khoury , Mark Trodden

We extend to three dimensions the Concentric Maclaurin Spheroid method for obtaining the self-consistent shape and gravitational field of a rotating liquid planet, to include a tidal potential from a satellite. We exhibit, for the first…

Earth and Planetary Astrophysics · Physics 2016-11-15 Sean M Wahl , William B Hubbard , Burkhard Militzer

Precision measurements of the gravitational wave signal from compact binary inspirals allow us to constrain the internal structure of those objects via physical parameters such as the tidal Love numbers. In scalar-tensor theories, one…

General Relativity and Quantum Cosmology · Physics 2025-08-25 Robin Fynn Diedrichs , Shinji Tsujikawa , Kent Yagi

Proca stars (arXiv:1508.05395) are everywhere regular, asymptotically flat self-gravitating solitons composed of complex, massive vector bosons, forming a macroscopic, star-sized, Bose-Einstein condensate. They have been suggested as a…

General Relativity and Quantum Cosmology · Physics 2020-08-19 Carlos A. R. Herdeiro , Grigoris Panotopoulos , Eugen Radu

The tidal love number determines a star's deformability rate in the presence of gravitational potential and depends on the star's internal structure. In this work, we investigate two significant prospects on tidal love number : (i) the…

Astrophysics of Galaxies · Physics 2023-11-07 P. C Lalremruati , H lalrinfela , Zodinmawia

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

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

Gravitational waves from compact binary coalescences are valuable for testing theories of gravity in the strong field regime. By measuring neutron star tidal deformability using gravitational waves from binary neutron stars, stringent…

General Relativity and Quantum Cosmology · Physics 2024-08-21 Stephanie M. Brown

The Juno orbiter continues to collect data on Jupiter's gravity field with unprecedented precision since 2016, recently reporting a non-hydrostatic component in the tidal response of the planet. At the mid-mission perijove 17, Juno…

Earth and Planetary Astrophysics · Physics 2021-12-14 Benjamin Idini , David J. Stevenson

The Juno spacecraft has acquired exceptionally precise data on Jupiter's gravity field, offering invaluable insights into Jupiter's tidal response, interior structure, and dynamics, establishing crucial constraints. We develop a new model…

Earth and Planetary Astrophysics · Physics 2023-11-07 Hachem Dhouib , Clément Baruteau , Stéphane Mathis , Florian Debras , Aurélie Astoul , Michel Rieutord

We discuss the linear response to low-frequency tidal forcing of fluid bodies that are slowly and uniformly rotating, are neutrally stratified and may contain a solid or fluid core. This problem may be regarded as a simplified model of…

Earth and Planetary Astrophysics · Physics 2015-06-12 Gordon I. Ogilvie