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Gravitomagnetic quasi-normal modes of neutron stars are resonantly excited by tidal effects during a binary inspiral, leading to a potentially measurable effect in the gravitational-wave signal. We take an important step towards…

General Relativity and Quantum Cosmology · Physics 2021-02-24 Pawan Kumar Gupta , Jan Steinhoff , Tanja Hinderer

We compute the tidal Love numbers and static response coefficients associated to several rotating black holes in higher dimensions, including Myers-Perry black holes, black rings, and black strings. These coefficients exhibit a rich and…

High Energy Physics - Theory · Physics 2023-11-08 Maria J. Rodriguez , Luca Santoni , Adam R. Solomon , Luis Fernando Temoche

The dynamic quadrupole Love number of Titan measured by \Cassini is $k_\mathrm{2,obs}=0.616\pm 0.067$, strongly indicating a global subsurface ocean. However, the theoretical Love number due to equilibrium tides is at most…

Earth and Planetary Astrophysics · Physics 2019-05-13 Jing Luan

We study the tidal problem and the resulting $I$-Love-$Q$ approximate universal relations for rotating superfluid neutron stars in the Hartle-Thorne formalism. Superfluid stars are described in this work by means of a two-fluid model…

General Relativity and Quantum Cosmology · Physics 2023-11-23 Eneko Aranguren , José A. Font , Nicolas Sanchis-Gual , Raül Vera

Oscillations have been detected in a variety of stars, including intermediate- and high-mass main sequence stars. While many of these stars are rapidly and differentially rotating, the effects of rotation on oscillation modes are poorly…

Solar and Stellar Astrophysics · Physics 2014-10-16 Giovanni M. Mirouh , Clément Baruteau , Michel Rieutord , Jérôme Ballot

We study the effect of internal space rotation on the gravitational properties of infinite straight and stationary cosmic string. From the approximate solution of Einsten equations for the spinning Q-lump string we obtain long range…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Eugen Simanek

Loops of virtual particles from the vacuum of quantum field theory (QFT) render black holes tidally deformable. We compute the static tidal response of unspinning charged black holes at arbitrary radius, using the perturbative formalism…

High Energy Physics - Theory · Physics 2026-02-03 Sergio Barbosa , Sylvain Fichet , Lucas de Souza

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

We investigate the properties of relativistic stars made of dark energy. We model stellar structure assuming i) isotropic perfect fluid and ii) a dark energy inspired equation of state, the generalized equation of state of Chaplygin gas, as…

General Relativity and Quantum Cosmology · Physics 2020-10-27 Grigoris Panotopoulos , Angel Rincon , Ilidio Lopes

In this paper we study Love waves in a layered, elastic half-space. We first address the direct problem and we characterize the existence of Love waves through the dispersion relation. We then address the inverse problem and we show how to…

Analysis of PDEs · Mathematics 2024-04-09 Maarten V. de Hoop , Josselin Garnier , Alexei Iantchenko , Julien Ricaud

The deformability of a compact object induced by a perturbing tidal field is encoded in the tidal Love numbers, which depend sensibly on the object's internal structure. These numbers are known only for static, spherically-symmetric…

General Relativity and Quantum Cosmology · Physics 2015-07-01 Paolo Pani , Leonardo Gualtieri , Andrea Maselli , Valeria Ferrari

In General Relativity, the tidal Love numbers of black holes vanish, implying they are resistant to tidal deformation. This "rigidity" is easily broken in the presence of higher-derivative corrections. Focusing on extremal charged black…

High Energy Physics - Theory · Physics 2026-01-30 Toshifumi Noumi , Sam S. C. Wong

The induced conservative tidal response of self-gravitating objects in general relativity is parametrized in terms of a set of coefficients, which are commonly referred to as Love numbers. For asymptotically-flat black holes in four…

General Relativity and Quantum Cosmology · Physics 2025-03-04 Simon Iteanu , Massimiliano Maria Riva , Luca Santoni , Nikola Savić , Filippo Vernizzi

We investigate the effect of a magnetic field on the global oscillation modes of a rotating fluid star in the magnetohydrodynamic approximation. We present general equations for the modification of any type of fluid mode due to a general…

Astrophysics · Physics 2009-11-07 Sharon M. Morsink , Vahid Rezania

Black holes, like any other object - respond to external fields like background electric and gravitational fields. At lowest order, the response of a black hole to, (e.g.) a gravitational wave in the $l^{th}$ spherical harmonic mode is to…

High Energy Physics - Theory · Physics 2025-08-12 Subhajit Mazumdar

Neutron stars in binary orbit emit gravitational waves and spiral slowly together. During this inspiral, they are expected to have very little vorticity. It is in fact a good approximation to treat the system as having zero vorticity, i.e.,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Saul A. Teukolsky

We define and calculate the mass multipole moments of a material body of mass $M$ and electric charge $Q$ tidally deformed by a particle of mass $m \ll M$ and charge $q \ll Q$ placed at a distance $r_0$ from the body. Given $Q/M$ and $r_0$,…

General Relativity and Quantum Cosmology · Physics 2024-12-04 Victoria Leaker , Tristan Pitre , Eric Poisson

We obtain the full set of tidal Love numbers of non-rotating black holes in an effective field theory extension of general relativity. We achieve our results using a recently introduced modified Teukolsky equation that describes the…

General Relativity and Quantum Cosmology · Physics 2025-03-11 Pablo A. Cano

We construct quasinormal modes for neutron stars in $R^2$ gravity in the Einstein frame, considering scalar masses in the sub-neV range. In particular, we investigate the fundamental quadrupole fluid f-modes and the dipole fluid F-modes.…

General Relativity and Quantum Cosmology · Physics 2022-08-04 J. L. Blázquez-Salcedo , L. M. González-Romero , F. S. Khoo , J. Kunz , V. Preut

The quark star (QS) is a hypothetical and yet undiscovered stellar object, and its existence would mark a paradigm shift in research on nuclear and quark matter. Although compactness is a well-known signature for distinguishing between two…

High Energy Astrophysical Phenomena · Physics 2025-11-05 Kenji Fukushima , Josuke Minamiguchi , Tomoya Uji
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