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The exterior gravitational field of a slowly-rotating neutron star can be characterized by its multipole moments, the first few being the neutron star mass, moment of inertia, and quadrupole moment to quadratic order in spin. In principle,…

General Relativity and Quantum Cosmology · Physics 2017-12-01 Kent Yagi , Nicolas Yunes

In scalar-tensor theories beyond Horndeski, the Vainshtein screening mechanism is only partially effective inside astrophysical bodies. We investigate the potential to detect this partial breaking of Vainshtein screening through the tidal…

General Relativity and Quantum Cosmology · Physics 2025-04-17 Tsutomu Kobayashi

Two planets with orbital period ratio approximately 10:1 have been discovered around the star HD 83443. The inner and more massive planet, HD 83443b, has the smallest semi-major axis among all currently known exoplanets. Unlike other short…

Astrophysics · Physics 2009-11-07 Yanqin Wu , Peter Goldreich

We compute the tidal Love numbers for a particular axially symmetric configuration of extremal Reissner-Nordstrom geometry. By exactly solving the non-linear Einstein equations, we investigate the tidal response of extremal…

General Relativity and Quantum Cosmology · Physics 2025-12-03 L. R. Gounis , A. Kehagias , G. Panagopoulos , A. Riotto

This article is intended for undergraduate students with the aim to provide a pedagogical introduction to the physics of stellar tidal deformations. The spherically symmetric shape of any star is deformed via rotation around an arbitrary…

High Energy Astrophysical Phenomena · Physics 2020-07-02 Andreas Zacchi

Tides are the main driving force behind the long-term evolution of planetary systems. The associated energy dissipation and momentum exchanges are commonly described by Love numbers, which relate the exciting potential to the tidally…

Earth and Planetary Astrophysics · Physics 2025-02-05 Pierre Auclair-Desrotour , Gwenaël Boué , Baptiste Loire

A sub-fraction of dark matter or new particles trapped inside celestial objects can significantly alter their macroscopic properties. We investigate the new physics imprint on celestial objects by using a generic framework to solve the…

General Relativity and Quantum Cosmology · Physics 2023-01-11 Michael Collier , Djuna Croon , Rebecca K. Leane

We elaborate on a powerful tidal interaction formalism where the multipole dynamics is kept generic and encoded in a linear response function. This response function is the gravitational counterpart of the atomic spectrum and can become of…

General Relativity and Quantum Cosmology · Physics 2013-05-22 Sayan Chakrabarti , Térence Delsate , Jan Steinhoff

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

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

At mid-mission perijove 17, NASA's Juno mission has revealed a $7\sigma$ discrepancy between Jupiter's observed high-degree tidal response and the theoretical equilibrium tidal response, namely the Love number $k_{42}$. Here, we propose an…

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

One of the most common assumptions has been made that the pressure inside the star is isotropic in nature. However, the pressure is locally anisotropic in nature which is a more realistic case. In this study, we investigate certain…

General Relativity and Quantum Cosmology · Physics 2022-11-18 H. C. Das

We discuss the response of neutron stars to the tidal interaction in a compact binary system, as encoded in the Love number associated with the induced deformation. This problem is of interest for gravitational-wave astronomy as there may…

Solar and Stellar Astrophysics · Physics 2013-05-29 A. J. Penner , N. Andersson , L. Samuelsson , I. Hawke , D. I. Jones

We perform a stability analysis of a tidally excited nonlinear internal gravity wave near the centre of a solar-type star in two-dimensions. The motivation is to understand the tidal interaction between short-period planets and their…

Earth and Planetary Astrophysics · Physics 2015-05-28 Adrian Barker , Gordon Ogilvie

Unimodular gravity is a modified theory with respect to general relativity by an extra condition that the determinant of the metric is fixed. Especially, if the energy-momentum tensor is not imposed to be conserved separately, a new…

General Relativity and Quantum Cosmology · Physics 2022-11-02 Rui-Xin Yang , Fei Xie , Dao-Jun Liu

We study how stably stratified or semi-convective layers alter the tidal dissipation rates associated with the generation of internal waves in planetary interiors. We consider if these layers could contribute to the high rates of tidal…

Earth and Planetary Astrophysics · Physics 2023-07-05 Christina M. Pontin , Adrian J. Barker , Rainer Hollerbach

Observations of neutron stars and the precise measurement of their macroscopic properties have provided valuable insights into fundamental physics, both by constraining the behavior of nuclear matter under extreme conditions and by enabling…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Jayana A. Saes , Abhishek Hegade K. R. , Nicolás Yunes

Jupiter's moon Europa has a thin icy crust which is decoupled from the mantle by a subsurface ocean. The crust thus responds to tidal forcing as a deformed membrane, cold at the top and near melting point at the bottom. In this paper I…

Geophysics · Physics 2015-06-01 Mikael Beuthe

As a long-term energy source, tidal heating in subsurface oceans of icy satellites can influence their thermal, rotational, and orbital evolution, and the sustainability of oceans. We present a new theoretical treatment for tidal heating in…

Earth and Planetary Astrophysics · Physics 2018-06-06 Isamu Matsuyama , Mikael Beuthe , Hamish C. F. C. Hay , Francis Nimmo , Shunichi Kamata

We study tidal Love numbers of static black holes in four-dimensional quadratic theory of gravity, extending the result of GR. We use worldline effective field theory (WEFT) methods to compute metric perturbations from one-point functions,…

High Energy Physics - Theory · Physics 2025-11-25 Arpan Bhattacharyya , Saptaswa Ghosh , Naman Kumar , Shailesh Kumar , Sounak Pal
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