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The tidal interaction of a (rotating or nonrotating) black hole with nearby bodies produces changes in its mass, angular momentum, and surface area. Similarly, tidal forces acting on a Newtonian, viscous body do work on the body, change its…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Eric Poisson

The foundation for modeling the coupling of the internal structure of compact objects in binary systems to their dynamics and emitted gravitational waves is a systematic effective field theory (EFT) framework, where each compact object is…

General Relativity and Quantum Cosmology · Physics 2026-05-04 Sumanta Chakraborty , M. V. S Saketh , Tanja Hinderer , Jan Steinhoff

We study the axial (magnetic) tidal Love numbers of a Schwarzschild black hole surrounded by a spherically symmetric matter distribution. While the formalism developed here is general, we specialize to the case of anisotropic fluids as a…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Simone D'Onofrio , Sayak Datta , Andrea Maselli

The tidal Love numbers of a black hole vanish, and this is often taken to imply that the hole's tidally induced multipole moments vanish also. An obstacle to establishing a link between these statements is that the multipole moments of…

General Relativity and Quantum Cosmology · Physics 2021-12-08 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

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

Tidal Love numbers of anti-de Sitter black holes are understood as linear response coefficients governing how the holographically dual plasma polarizes when the geometry of the space, in which the plasma lives, is deformed. So far, this…

High Energy Physics - Theory · Physics 2024-11-01 Edgardo Franzin , Antonia M. Frassino , Jorge V. Rocha

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

We estimate the accuracy in the measurement of the tidal Love number of a supermassive compact object through the detection of an extreme mass ratio inspiral~(EMRI) by the future LISA mission. A nonzero Love number would be a smoking gun…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Gabriel Andres Piovano , Andrea Maselli , Paolo Pani

The response of a black hole (BH) to tidal forces encodes key information about the underlying gravitational theory and affects the waveform of gravitational waves emitted during binary inspiral processes. In this paper, we analyze the…

General Relativity and Quantum Cosmology · Physics 2026-04-08 Hajime Kobayashi , Shinji Mukohyama , Naritaka Oshita , Kazufumi Takahashi , Vicharit Yingcharoenrat

We present a consistent mapping between tidal deformability coefficients (tidal Love numbers) and Wilson coefficients in effective field theory (EFT) descriptions of higher-curvature theories of gravity. In this work, we focus on the…

General Relativity and Quantum Cosmology · Physics 2026-04-08 Luohan Wang , Luis Lehner , Maitá Micol , Riccardo Sturani

To perform realistic tests of theories of gravity, we need to be able to look beyond general relativity and evaluate the consistency of alternative theories with observational data from, especially, gravitational wave detections using, for…

General Relativity and Quantum Cosmology · Physics 2022-05-04 M. Cvetic , G. W. Gibbons , C. N. Pope , B. F. Whiting

In this short note, we investigate the existence of universal relations between the gravimagnetic Love number of irrotational stars and the dimensionless moment of inertia. These Love numbers take into account the internal motion of the…

General Relativity and Quantum Cosmology · Physics 2015-04-29 Térence Delsate

The fate of classical information incident on a quantum black hole has been the subject of an ongoing controversy in theoretical physics, because a calculation within the framework of semi-classical curved-space quantum field theory appears…

General Relativity and Quantum Cosmology · Physics 2014-03-17 Christoph Adami , Greg Ver Steeg

Massive states produce higher derivative corrections to Einstein gravity in the infrared, which are encoded into operators of the Effective Field Theory (EFT) of gravity. These EFT operators modify the geometry and affect the tidal…

High Energy Physics - Theory · Physics 2025-07-24 Sergio Barbosa , Philippe Brax , Sylvain Fichet , Lucas de Souza

In this work, we investigate the tidal response of both static and rotating black holes in anti de-Sitter spacetime. We perform the neutral scalar field perturbation for Schwarzschild and Kerr black holes. On the other hand, charged scalar…

General Relativity and Quantum Cosmology · Physics 2025-08-01 Yusmantoro , Freddy Permana Zen , Hadyan Luthfan Prihadi

Effective field theory methods suggest that some rather-general extensions of General Relativity include, or are mimicked by, certain higher-order curvature corrections, with coupling constants expected to be small but otherwise arbitrary.…

General Relativity and Quantum Cosmology · Physics 2023-08-29 Vitor Cardoso , Masashi Kimura , Andrea Maselli , Leonardo Senatore

The so-called $I$-Love-$Q$ relations link some normalized versions of the moment of inertia, the Love number, and the quadrupole moment of a star. These relations, in principle, enable the inference of two of the quantities given the third.…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Eneko Aranguren

The physical significance of tidal deformation in astronomical systems has long been known. The recently discovered universal I-Love-Q relations, which connect moment of inertia, quadrupole tidal Love number, and spin-induced quadrupole…

Solar and Stellar Astrophysics · Physics 2017-09-19 Kenny L. S. Yip , P. T. Leung

The excitation of a black hole by infalling matter or radiation has been studied for a long time, mostly in linear perturbation theory. In this paper we study numerically the response of a Schwarzschild black hole to an incoming…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Jörg Frauendiener , Chris Stevens
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