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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…

广义相对论与量子宇宙学 · 物理学 2026-04-15 Rui Wang , Qi-Long Shi , Wei Xiong , Peng-Cheng Li

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…

广义相对论与量子宇宙学 · 物理学 2023-08-02 Valerio De Luca , Justin Khoury , Sam S. C. Wong

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…

高能天体物理现象 · 物理学 2026-03-13 Enrico Cannizzaro , Valerio De Luca , Paolo Pani

Tidal Love numbers quantify the conservative static response of compact objects to external tidal fields, and are found to vanish exactly for asymptotically flat black holes in four-dimensional general relativity. Many aspects of the…

广义相对论与量子宇宙学 · 物理学 2025-02-17 Valerio De Luca , Brandon Khek , Justin Khoury , Mark Trodden

The tidal Love numbers (TLNs) encode the deformability of a self-gravitating object immersed in a tidal environment and depend significantly both on the object's internal structure and on the dynamics of the gravitational field. An…

广义相对论与量子宇宙学 · 物理学 2017-04-13 Vitor Cardoso , Edgardo Franzin , Andrea Maselli , Paolo Pani , Guilherme Raposo

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…

广义相对论与量子宇宙学 · 物理学 2025-02-12 Ricardo Arana , Richard Brito , Gonçalo Castro

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…

广义相对论与量子宇宙学 · 物理学 2024-10-16 Alex Kehagias , Antonio 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…

广义相对论与量子宇宙学 · 物理学 2024-12-12 L. -R. Gounis , A. Kehagias , A. Riotto

In this note, we analyze black holes solutions under R3 corrections, which is the leading correction induced by quantum corrections in four-dimensions. We showed that perturbations around this black hole background will lead to non-zero…

高能物理 - 理论 · 物理学 2019-06-18 Shengsheng Cai , Kai-Der Wang

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…

广义相对论与量子宇宙学 · 物理学 2026-01-29 Valerio De Luca , Brandon Khek , Justin Khoury , Mark Trodden

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…

广义相对论与量子宇宙学 · 物理学 2024-05-29 Massimiliano Maria Riva , Luca Santoni , Nikola Savić , Filippo Vernizzi

We show that rotating black holes do not experience any tidal deformation when they are perturbed by a weak and adiabatic gravitational field. The tidal deformability of an object is quantified by the so-called "Love numbers", which…

广义相对论与量子宇宙学 · 物理学 2021-07-14 Horng Sheng Chia

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…

广义相对论与量子宇宙学 · 物理学 2025-12-02 M. Andrés-Carcasona , G. Caneva Santoro

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…

广义相对论与量子宇宙学 · 物理学 2024-09-04 Chams Gharib Ali Barura , Hajime Kobayashi , Shinji Mukohyama , Naritaka Oshita , Kazufumi Takahashi , Vicharit Yingcharoenrat

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…

广义相对论与量子宇宙学 · 物理学 2021-08-25 V. De Luca , P. Pani

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…

高能物理 - 理论 · 物理学 2026-01-30 Toshifumi Noumi , Sam S. C. Wong

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…

广义相对论与量子宇宙学 · 物理学 2020-09-25 Cecilia Chirenti , Camilo Posada , Victor Guedes

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…

广义相对论与量子宇宙学 · 物理学 2026-04-13 María J. Rodríguez , Luca Santoni , Adam R. Solomon

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…

广义相对论与量子宇宙学 · 物理学 2025-05-22 Meysam Motaharfar , Parampreet Singh

Black holes in four-dimensional, asymptotically flat general relativity have vanishing static tidal Love numbers (TLNs), a property tied to a hidden symmetry of the perturbation equations. Within the Konoplya-Rezzolla-Zhidenko (KRZ)…

广义相对论与量子宇宙学 · 物理学 2026-02-17 Chanchal Sharma , Shuvayu Roy , Sudipta Sarkar
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