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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

Tidal Love numbers characterize the conservative, static response of compact objects to external tidal fields. Remarkably, these quantities vanish identically for asymptotically flat black holes in four-dimensional general relativity. This…

General Relativity and Quantum Cosmology · Physics 2026-01-29 Valerio De Luca , Brandon Khek , Justin Khoury , Mark Trodden

The tidal Love numbers parametrize the conservative induced tidal response of self-gravitating objects. It is well established that asymptotically-flat black holes in four-dimensional general relativity have vanishing Love numbers. In…

General Relativity and Quantum Cosmology · Physics 2025-04-21 Oscar Combaluzier-Szteinsznaider , Lam Hui , Luca Santoni , Adam R. Solomon , Sam S. C. Wong

We provide a symmetry argument for the vanishing and non-renormalization of static Love numbers for spherically symmetric black holes at full nonlinear order in four-dimensional General Relativity. The symmetry is realized both in full GR…

High Energy Physics - Theory · Physics 2025-11-20 Julio Parra-Martinez , Alessandro Podo

The tidal deformation of compact objects, characterised by their Love numbers, provides insights into the internal structure of neutron stars and black holes. While static bosonic tidal Love numbers vanish for black holes in general…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Xiankai Pang , Yu Tian , Hongbao Zhang , Qingquan Jiang

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

The response of a gravitating object to an external tidal field is encoded in its Love numbers, which identically vanish for classical blackholes (BHs). Here we show, using standard time-independent quantum perturbation theory, that for a…

General Relativity and Quantum Cosmology · Physics 2022-01-20 Ram Brustein , Yotam Sherf

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

The deformation of a nonrotating body resulting from the application of a tidal field is measured by two sets of Love numbers associated with the gravitoelectric and gravitomagnetic pieces of the tidal field, respectively. The…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Philippe Landry , Eric Poisson

Loop quantum gravitational effects can resolve the central singularity of black holes while potentially leaving tiny traces of quantization in the exterior spacetime. We show the way these residues can, in principle, be explored using tidal…

General Relativity and Quantum Cosmology · Physics 2025-01-17 Meysam Motaharfar , Parampreet Singh

Ultralight bosonic fields can form condensates, or clouds, around spinning black holes. When this system is under the influence of a secondary massive body, its tidal response can be quantified in the tidal Love numbers (TLNs). Although…

General Relativity and Quantum Cosmology · Physics 2025-02-12 Ricardo Arana , Richard Brito , Gonçalo Castro

The tidal response of compact objects provides a powerful probe of their internal structure and of the surrounding gravitational field. We provide a comprehensive and unified overview of tidal effects in black holes, neutron stars, and…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Sumanta Chakraborty , Paolo Pani

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

Tidal Love numbers (TLNs) characterize the response of compact objects to external tidal fields and vanish for classical Schwarzschild and Kerr black holes in general relativity. Nonvanishing TLNs therefore provide a potential observational…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Rui Wang , Qi-Long Shi , Wei Xiong , Peng-Cheng Li

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

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

We perform a detailed study of the gravitational tidal Love numbers of extremal zero-temperature Kerr black holes. These coefficients are finite and exhibit the dissipative nature of these maximally spinning black holes. Upon considering…

High Energy Physics - Theory · Physics 2024-12-30 Malcolm Perry , Maria J. Rodriguez

We determine the gravito-magnetic Love numbers of non-rotating black holes in all spacetime dimensions through a novel and direct derivation. The Ishibashi- Kodama master field and its associated field equation are avoided. The matching to…

High Energy Physics - Theory · Physics 2024-05-14 Tomer Hadad , Barak Kol , Michael Smolkin

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

We consider the shift of charge-to-mass ratio for extremal black holes in the context of effective field theory, motivated by the Weak Gravity Conjecture. We constrain extremality corrections in different regimes subject to unitarity and…

High Energy Physics - Theory · Physics 2022-03-17 Nima Arkani-Hamed , Yu-tin Huang , Jin-Yu Liu , Grant N. Remmen