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Related papers: Non-vanishing of tidal Love numbers

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It is well known that asymptotically flat Schwarzschild black holes in general relativity in four spacetime dimensions have vanishing induced linear tidal response. We extend this result beyond linear order for the polar sector, by solving…

General Relativity and Quantum Cosmology · Physics 2024-05-29 Massimiliano Maria Riva , Luca Santoni , Nikola Savić , Filippo Vernizzi

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

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

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

Tidal Love numbers describe the linear response of a compact object under the presence of external tidal perturbations, and they are found to vanish exactly for black holes within General Relativity. In this paper we investigate the tidal…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Valerio De Luca , Justin Khoury , Sam S. C. Wong

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

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

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 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

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

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 derive the response, the real part of which provides the tidal Love numbers, for non-extremal as well as extremal Kerr black holes under generic tidal perturbations. Our results suggest that the static as well as dynamical…

General Relativity and Quantum Cosmology · Physics 2025-10-30 Rajendra Prasad Bhatt , Sumanta Chakraborty , Sukanta Bose

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

We derive the model of the Schwarzschild black hole immersed into a dark matter halo with a relativistic Hernquist profile, the Schwarzschild-Hernquist black hole, and obtain its tidal Love numbers and quasi-normal modes. We thoroughly…

General Relativity and Quantum Cosmology · Physics 2025-03-31 Sumanta Chakraborty , Geoffrey Compère , Ludovico Machet

In General Relativity, the static tidal Love numbers of black holes vanish identically. Whether this remains true for time-dependent tidal fields -- i.e., in the case of dynamical tidal Love numbers -- is an open question, complicated by…

General Relativity and Quantum Cosmology · Physics 2025-11-03 Sumanta Chakraborty , Valerio De Luca , Leonardo Gualtieri , Paolo Pani

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

The open question of whether a Kerr black hole can become tidally deformed or not has profound implications for fundamental physics and gravitational-wave astronomy. We consider a Kerr black hole embedded in a weak and slowly varying, but…

General Relativity and Quantum Cosmology · Physics 2021-04-15 Alexandre Le Tiec , Marc Casals , Edgardo Franzin

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 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 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
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