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Relativistic tidal equations are formulated with respect to the rest frame of a central gravitational source and their solutions are studied. The existence of certain relativistic critical tidal currents are thereby elucidated.…

General Relativity and Quantum Cosmology · Physics 2020-10-13 Bahram Mashhoon

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

The discovery that the Galactic centre emits flares at various wavelengths represents a puzzle concerning their origin, but at the same time it is a relevant opportunity to investigate the environment of the nearest super-massive black…

High Energy Astrophysical Phenomena · Physics 2012-04-17 A. Cadez , U. Kostic , M. Calvani

We investigate the frequency-dependent (dynamical) tidal response of regular black holes for the Bardeen, Hayward, and Fan-Wang geometries. Our results are obtained by solving the coupled perturbation equations with appropriate boundary…

High Energy Physics - Theory · Physics 2026-03-27 Arpan Bhattacharyya , Naman Kumar , Shailesh Kumar

A set of tidal dissipation numbers (TDNs) quantifies the absorption of the tidal force exerted by a companion during an inspiralling phase of a binary compact object. This tidal dissipation generally affects the gravitational waveform, and…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Hajime Kobayashi , Shinji Mukohyama , Naritaka Oshita , Kazufumi Takahashi , Vicharit Yingcharoenrat

Tidal interactions play an important role in many astrophysical systems, but uncertainties regarding the tides of rapidly rotating, centrifugally distorted stars and gaseous planets remain. We have developed a precise method for computing…

Earth and Planetary Astrophysics · Physics 2023-04-12 Janosz W. Dewberry , Dong Lai

We consider tidal encounters between a white dwarf and an intermediate mass black hole. Both weak encounters and those at the threshold of disruption are modeled. The numerical code combines mesh-based hydrodynamics, a spectral method…

General Relativity and Quantum Cosmology · Physics 2013-05-10 Roseanne M. Cheng , Charles R. Evans

We develop a framework to compute the tidal response of a Kerr-like compact object in terms of its reflectivity, compactness, and spin, both in the static and the frequency-dependent case. Here we focus on the low-frequency regime, which…

General Relativity and Quantum Cosmology · Physics 2024-10-17 Sumanta Chakraborty , Elisa Maggio , Michela Silvestrini , Paolo Pani

It is generally believed that tidal deformations of a black hole in an external field, as measured using its gravitational field multipoles, vanish. However, this does not mean that the black hole horizon is not deformed. Here we shall…

General Relativity and Quantum Cosmology · Physics 2024-06-17 A. Ribes Metidieri , B. Bonga , B. Krishnan

We show that rotating black holes do not experience any tidal deformation when they are perturbed by a weak and adiabatic gravitational field. The tidal deformability of an object is quantified by the so-called "Love numbers", which…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Horng Sheng Chia

The existence of light, fundamental bosonic fields is an attractive possibility that can be tested via black hole observations. We study the effect of a tidal field -- caused by a companion star or black hole -- on the evolution of…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Vitor Cardoso , Francisco Duque , Taishi Ikeda

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

A simple phenomenological extension of the black hole solution with tidal charge is proposed. Empirical data on the Sgr A* is consistent with the suggested metric which serves as a generalisation of the Reissner-Nordstrom one. Such a…

General Relativity and Quantum Cosmology · Physics 2019-04-10 S. O. Alexeyev , B. N. Latosh , V. A. Prokopov , E. D. Emtsova

The inclusion of finite-size effects in the gravitational waveform templates allows not only to constrain the internal structure of compact objects, but to test deviations from general relativity. Here, we address the problem of tidal…

General Relativity and Quantum Cosmology · Physics 2023-03-02 Laura Bernard

The physics of gravitational waves and other classical fields on specifically four-dimensional backgrounds of black holes exhibits electric-magnetic-like dualities. In this paper, we discuss the structure of such dualities in terms of…

High Energy Physics - Theory · Physics 2025-10-08 Sašo Grozdanov , Mile Vrbica

It is well established that black holes in four-dimensional, vacuum, general relativity exhibit vanishing static tidal Love numbers, indicating no multipolar response to the external tidal fields in the static limit. This intriguing feature…

General Relativity and Quantum Cosmology · Physics 2026-01-09 Chiranjeeb Singha , Sumanta Chakraborty

Since the work of Hartle in the 1970s, and the subsequent development of the the Membrane Paradigm approach to black hole physics it has been widely accepted that superradiant scattering of gravitational waves bears strong similarities with…

General Relativity and Quantum Cosmology · Physics 2015-06-18 K. Glampedakis , S. J. Kapadia , D. Kennefick

Next-generation low-frequency interferometers are expected to detect binary systems near supermassive black holes, where tidal effects can alter significantly the motion of the binary. This motivates a broader investigation of how external…

General Relativity and Quantum Cosmology · Physics 2024-11-14 Elisa Grilli , Marta Orselli , David Pereñiguez , Daniele Pica

Fermi coordinates are the natural generalization of inertial Cartesian coordinates to accelerated systems and gravitational fields. We study the motion of ultrarelativistic particles and light rays in Fermi coordinates and investigate…

General Relativity and Quantum Cosmology · Physics 2009-11-10 C. Chicone , B. Mashhoon

Black holes are believed to possess vanishing Love numbers, which implies that they do not deform in the presence of external tides. This fact has been verified in a number of scenarios, that involve tides of bosonic fields of various…

General Relativity and Quantum Cosmology · Physics 2026-03-24 David Pereñiguez , Edgars Karnickis