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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…

广义相对论与量子宇宙学 · 物理学 2026-05-15 Xiankai Pang , Yu Tian , Hongbao Zhang , Qingquan Jiang

We compute static ($\omega\to0$) tilde Love numbers for scalar ($s=0$) and Dirac ($s=1/2$) perturbations of static acoustic black holes (ABHs) in (3+1) and (2+1) dimensions respectively. By imposing horizon regularity condition and matching…

高能物理 - 理论 · 物理学 2026-05-04 Yongbin Du , Xiangdong Zhang

It was shown recently that the static tidal response coefficients, called Love numbers, vanish identically for Kerr black holes in four dimensions. In this work, we confirm this result and extend it to the case of spin-0 and spin-1…

高能物理 - 理论 · 物理学 2021-05-26 Panagiotis Charalambous , Sergei Dubovsky , Mikhail M. Ivanov

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…

广义相对论与量子宇宙学 · 物理学 2025-10-30 Rajendra Prasad Bhatt , Sumanta Chakraborty , Sukanta Bose

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

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

This paper presents a new conformal symmetry of stationary, axisymmetric Kerr perturbations. This symmetry is exact but non-geometric (or "hidden"), and each of its generators has an associated infinite family of eigenstate solutions. Tidal…

广义相对论与量子宇宙学 · 物理学 2025-06-06 Alexandru Lupsasca

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 open question of whether a black hole can become tidally deformed by an external gravitational field has profound implications for fundamental physics, astrophysics and gravitational-wave astronomy. Love tensors characterize the tidal…

广义相对论与量子宇宙学 · 物理学 2021-04-02 Alexandre Le Tiec , Marc Casals

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…

广义相对论与量子宇宙学 · 物理学 2026-04-13 Sumanta Chakraborty , Paolo Pani

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

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…

广义相对论与量子宇宙学 · 物理学 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…

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

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

While static Love number vanish identically for Kerr black holes, we show that the corresponding dynamical tidal coefficients are generically non-zero and exhibit logarithmic behavior. The computational method employs a related but simpler…

广义相对论与量子宇宙学 · 物理学 2023-10-06 Malcolm Perry , Maria J. Rodriguez

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…

高能物理 - 理论 · 物理学 2025-11-20 Julio Parra-Martinez , Alessandro Podo

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…

广义相对论与量子宇宙学 · 物理学 2025-03-04 Simon Iteanu , Massimiliano Maria Riva , Luca Santoni , Nikola Savić , Filippo Vernizzi

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

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…

广义相对论与量子宇宙学 · 物理学 2022-03-01 David Pereñiguez , Vitor Cardoso

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…

广义相对论与量子宇宙学 · 物理学 2025-11-03 Sumanta Chakraborty , Valerio De Luca , Leonardo Gualtieri , Paolo Pani
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