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The deformability of a compact object under the presence of a tidal perturbation is encoded in the tidal Love numbers (TLNs), which vanish for isolated black holes in vacuum. We show that the TLNs of black holes surrounded by matter fields…

General Relativity and Quantum Cosmology · Physics 2021-08-25 V. De Luca , P. Pani

The tidal deformability of compact objects by a companion has a detectable imprint in the gravitational waves emitted by a binary system. This effect is governed by the so-called tidal Love numbers. For a particular theory of gravity, these…

General Relativity and Quantum Cosmology · Physics 2020-03-25 Vitor Cardoso , Francisco Duque

The tidal Love numbers of self-gravitating compact objects describe their response to external tidal perturbations, such as those from a companion in a binary system, offering valuable insights into their internal structure. For static…

High Energy Astrophysical Phenomena · Physics 2026-03-13 Enrico Cannizzaro , Valerio De Luca , Paolo Pani

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

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

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

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

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

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 Love numbers of a gravitating body are response coefficients encoding its tidal deformability. In compact binary systems, they appear in the gravitational waveform during the inspiral phase and will be measurable by upcoming…

General Relativity and Quantum Cosmology · Physics 2026-04-13 María J. Rodríguez , Luca Santoni , Adam R. Solomon

Supermassive binaries detectable by the future space gravitational-wave interferometer LISA might allow to distinguish black holes from ultracompact horizonless objects, even when the latter are motivated by quantum-gravity considerations.…

General Relativity and Quantum Cosmology · Physics 2019-07-25 Andrea Maselli , Paolo Pani , Vitor Cardoso , Tiziano Abdelsalhin , Leonardo Gualtieri , Valeria Ferrari

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

One of the macroscopically measurable effects of gravity is the tidal deformability of astrophysical objects, which can be quantified by their tidal Love numbers. For planets and stars, these numbers measure the resistance of their material…

General Relativity and Quantum Cosmology · Physics 2020-09-25 Cecilia Chirenti , Camilo Posada , Victor Guedes

The tidal deformability is a key observable to test the nature of compact objects in a binary coalescence. Within vacuum General Relativity, the tidal Love numbers of a four-dimensional black hole are strictly zero, while they are non-zero…

General Relativity and Quantum Cosmology · Physics 2025-06-26 Michela Silvestrini , Elisa Maggio , Sumanta Chakraborty , Paolo Pani

In Newtonian gravitational theory, a tidal Love number relates the mass multipole moment created by tidal forces on a spherical body to the applied tidal field. The Love number is dimensionless, and it encodes information about the body's…

General Relativity and Quantum Cosmology · Physics 2009-10-29 Taylor Binnington , Eric Poisson

Gravitational waves from compact binary coalescences are valuable for testing theories of gravity in the strong field regime. By measuring neutron star tidal deformability using gravitational waves from binary neutron stars, stringent…

General Relativity and Quantum Cosmology · Physics 2024-08-21 Stephanie M. Brown

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

Several quantum-gravity models of compact objects predict microscopic or even Planckian corrections at the horizon scale. We explore the possibility of measuring two model-independent, smoking-gun effects of these corrections in the…

General Relativity and Quantum Cosmology · Physics 2018-03-05 Andrea Maselli , Paolo Pani , Vitor Cardoso , Tiziano Abdelsalhin , Leonardo Gualtieri , Valeria Ferrari

As a possible alternative to black holes, horizonless compact objects have significant implications for gravitational-wave physics. In this work, we utilize the standard linearized theory of general relativity to calculate the quadrupolar…

General Relativity and Quantum Cosmology · Physics 2023-08-08 Rui-Xin Yang , Fei Xie , Dao-Jun Liu

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
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