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Astrophysical phenomena involving massive black holes (BHs) in close binaries are expected to leave detectable signatures in the electromagnetic and gravitational-wave spectrum. Such imprints may provide precious information to probe the…

General Relativity and Quantum Cosmology · Physics 2016-04-06 Andrea Maselli , Kostas Kokkotas , Pablo Laguna

Tidal disruptions of stars on the equatorial plane orbiting Kerr black holes have been widely studied. However thus far, there have been fewer studies of stars in inclined precessing orbits around a Kerr black hole. In this paper, we use…

High Energy Astrophysical Phenomena · Physics 2024-07-08 Matteo Stockinger , Masaru Shibata

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

We show that perturbations of massless fields in the Kerr black hole background enjoy a hidden $SL(2,\mathbb{R})\times {U}(1)$ ("Love") symmetry in the properly defined near zone approximation. Love symmetry mixes IR and UV modes. Still,…

High Energy Physics - Theory · Physics 2021-09-30 Panagiotis Charalambous , Sergei Dubovsky , Mikhail M. Ivanov

We present an analytic method for calculating the tidal response function of a nonrotating and a slowly rotating black hole from the Teukolsky equation in the small-frequency and near horizon limit. We point out that in the relativistic…

General Relativity and Quantum Cosmology · Physics 2023-10-12 Rajendra Prasad Bhatt , Sumanta Chakraborty , Sukanta Bose

We investigate the linear static response of three covariant loop quantum black holes, namely, the two models proposed by Zhang, Lewandowski, Ma, and Yang (ZLMY) and the Alonso-Bardaji, Brizuela, and Vera (ABV) model, to an external tidal…

General Relativity and Quantum Cosmology · Physics 2025-05-22 Meysam Motaharfar , Parampreet Singh

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

We investigate the tidal response of general five-dimensional (5D) black holes of STU supergravity, which include as special cases important solutions such as the Myers-Perry, BMPV, 5D Reissner-Nordstr\"om, Kerr-Newman and dyonic black…

High Energy Physics - Theory · Physics 2026-01-29 M. Cvetič , M. A. Liao , M. M Stetsko

We study the underlying structure of the vanishing of the Love numbers of both Schwarzschild and Kerr black holes in terms of spacetime conformal symmetry in a unified manner for the static spin-$s$ fields. The perturbations can be reduced…

General Relativity and Quantum Cosmology · Physics 2023-06-28 Takuya Katagiri , Masashi Kimura , Hiroyuki Nakano , Kazuyuki Omukai

We determine the metric of a Kerr black hole subject to external tidal fields using metric reconstruction techniques. Working within the Newman-Penrose formalism, we solve the Teukolsky master equation for static, quadrupolar modes…

General Relativity and Quantum Cosmology · Physics 2026-02-04 Marta Cocco , Gianluca Grignani , Troels Harmark , Marta Orselli , David Pereñiguez , Maarten van de Meent

By extending our recent framework to describe the tidal deformations of a spinning compact object, we compute for the first time the tidal Love numbers of a spinning neutron star to linear order in the angular momentum. The spin of the…

General Relativity and Quantum Cosmology · Physics 2015-12-03 Paolo Pani , Leonardo Gualtieri , Valeria Ferrari

A set of tidal Love numbers quantifies tidal deformation of compact objects and is a detectable imprint in gravitational waves from inspiralling binary systems. The measurement of black hole Love numbers allows to test strong-field gravity.…

General Relativity and Quantum Cosmology · Physics 2024-02-15 Takuya Katagiri , Tact Ikeda , Vitor Cardoso

The tidal response of compact objects in an inspiraling binary system is measured by a set of tidal Love and dissipation numbers imprinted in the gravitational waveforms. While a four-dimensional black hole in vacuum within General…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Takuya Katagiri , Hiroyuki Nakano , Kazuyuki Omukai

In a previous paper, we developed tools for studying the horizon geometry of a Kerr black hole that is tidally distorted by a binary companion using techniques that require large mass ratios but can be applied to any bound orbit and allow…

General Relativity and Quantum Cosmology · Physics 2016-09-07 Stephen O'Sullivan , Scott A. Hughes

A sum rule for tidal Love number is derived from quantum field theory computations, which relates tidal susceptibility of a spinless body to transition rates of its single graviton emission processes. An analogous sum rule for…

High Energy Physics - Theory · Physics 2021-08-24 Jung-Wook Kim , Myungbo Shim

General Relativity predicts that black holes do not possess an internal structure and consequently cannot be excited. This leads to a specific prediction about the waveform of gravitational waves, which they emit during a binary black hole…

General Relativity and Quantum Cosmology · Physics 2023-06-02 Shani Avitan , Ram Brustein , Yotam Sherf

The dynamics of a binary system moving in the background of a black hole is affected by tidal forces. In this work, for the Kerr black hole, we derive the electric and magnetic tidal moments at quadrupole order, where the latter are…

General Relativity and Quantum Cosmology · Physics 2023-04-10 Filippo Camilloni , Gianluca Grignani , Troels Harmark , Roberto Oliveri , Marta Orselli , Daniele Pica

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

It is well known that asymptotically flat black holes in general relativity have vanishing tidal Love numbers. In the case of Schwarzschild and Kerr black holes, this property has been shown to be a consequence of a hidden structure of…

General Relativity and Quantum Cosmology · Physics 2024-07-17 Mudit Rai , Luca Santoni

The moment of inertia, the spin-induced quadrupole moment, and the tidal Love number of neutron-star and quark-star models are related through some relations which depend only mildly on the stellar equation of state. These "I-Love-Q"…

General Relativity and Quantum Cosmology · Physics 2016-09-14 Nami Uchikata , Shijun Yoshida , Paolo Pani