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Tidal Love numbers of black holes, zero in classical general relativity for Kerr black holes in vacuum, become non-vanishing in the presence of exotic matter or in alternative theories of gravity, making them a powerful probe of fundamental…

General Relativity and Quantum Cosmology · Physics 2025-12-02 M. Andrés-Carcasona , G. Caneva Santoro

Tidal effects on compact objects provide profound theoretical insights into the structure of the field equations, and are wonderful probes of the equation of state of matter, the nature of black holes and of the underlying theory of…

General Relativity and Quantum Cosmology · Physics 2025-04-23 Takuya Katagiri , Vitor Cardoso , Tact Ikeda , Kent Yagi

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

We investigate the tidal response of Kerr black holes in four-dimensional space-times subjected to external gravitational fields. Using the Ernst formalism and Weyl coordinates, we analyze the non-linear tidal deformation of rotating black…

General Relativity and Quantum Cosmology · Physics 2024-12-12 L. -R. Gounis , A. Kehagias , A. Riotto

The response of black holes to companions is of fundamental importance in the context of their dynamics and of gravitational-wave emission. Here, we explore the effect of charge on the static response of black holes. With a view to…

General Relativity and Quantum Cosmology · Physics 2022-03-01 David Pereñiguez , Vitor Cardoso

Black holes and wormholes are solutions of Einstein's field equations, both of which, from afar, look like a central mass. We show here that although at large distances both behave like Newtonian objects, close to the event horizon or to…

High Energy Astrophysical Phenomena · Physics 2021-03-31 Pritam Banerjee , Suvankar Paul , Rajibul Shaikh , Tapobrata Sarkar

In this work, we investigate the tidal deformability of regular black holes (RBHs). Employing different phenomenological models, we analyze their response to both test fields and gravitational perturbations, interpreting the latter within…

General Relativity and Quantum Cosmology · Physics 2025-05-29 Chiara Coviello , Luis Lehner , Vania Vellucci

In this work, we revisit black hole Love numbers from two complementary perspectives. First, we develop a manifestly gauge-invariant framework that directly integrates out the short-distance degrees of freedom of a static black hole in…

High Energy Physics - Theory · Physics 2026-05-01 Itamar Cohen , Dina Meylakh , Michael Smolkin , Israel Warszawiak

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

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 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 study static tidal Love numbers (TLNs) of a static and spherically symmetric black hole for odd-parity metric perturbations. We describe black hole perturbations using the effective field theory (EFT), formulated on an arbitrary…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Chams Gharib Ali Barura , Hajime Kobayashi , Shinji Mukohyama , Naritaka Oshita , Kazufumi Takahashi , Vicharit Yingcharoenrat

We construct the external metric of a slowly rotating, tidally deformed material body in general relativity. The tidal forces acting on the body are assumed to be weak and to vary slowly with time, and the metric is obtained as a…

General Relativity and Quantum Cosmology · Physics 2015-08-03 Philippe Landry , Eric Poisson

The worldline effective field theory (EFT) gives a gauge-invariant definition of black hole conservative tidal responses (Love numbers), dissipation numbers, and their spin-0 and spin-1 analogs. In the first part of this paper we show how…

High Energy Physics - Theory · Physics 2024-03-29 Mikhail M. Ivanov , Zihan Zhou

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

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 deformability of a self-gravitating object leaves an imprint on the gravitational-wave signal of an inspiral which is paramount to measure the internal structure of the binary components. We unveil here a surprisingly unnoticed…

General Relativity and Quantum Cosmology · Physics 2019-07-30 Paolo Pani , Andrea Maselli

We show that the static tidal Love number of Schwarzschild black holes in four dimensions and in the vacuum vanishes at any order in the external tidal force. We also identify the underlying non-linear symmetry which is responsible for this…

General Relativity and Quantum Cosmology · Physics 2024-10-16 Alex Kehagias , Antonio Riotto

The mass of a black hole can dynamically evolve due to various physical processes, such as for instance accretion, Hawking radiation, absorption of gravitational/electromagnetic waves, superradiance, etc. This evolution can have an impact…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Lodovico Capuano , Luca Santoni , Enrico Barausse

We describe the possibility of using LISA's gravitational-wave observations to study, with high precision, the response of a massive central body to the tidal gravitational pull of an orbiting, compact, small-mass object. Motivated by this…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Hua Fang , Geoffrey Lovelace