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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

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

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

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

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

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

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…

广义相对论与量子宇宙学 · 物理学 2021-04-15 Alexandre Le Tiec , Marc Casals , Edgardo Franzin

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…

高能物理 - 理论 · 物理学 2026-05-01 Itamar Cohen , Dina Meylakh , Michael Smolkin , Israel Warszawiak

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…

广义相对论与量子宇宙学 · 物理学 2020-03-25 Vitor Cardoso , Francisco Duque

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

Dynamical Love numbers capture the conservative response of an object to a time-dependent external tidal gravitational field. We compute the dynamical Love numbers of Schwarzschild black holes in general relativity within a point-particle…

广义相对论与量子宇宙学 · 物理学 2026-01-19 Oscar Combaluzier--Szteinsznaider , Daniel Glazer , Austin Joyce , Maria J. Rodriguez , Luca Santoni

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

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 present an analytic method for calculating the tidal response function of a nonrotating and a slowly rotating black hole from the Teukolsky equation in the small-frequency and near horizon limit. We point out that in the relativistic…

广义相对论与量子宇宙学 · 物理学 2023-10-12 Rajendra Prasad Bhatt , Sumanta Chakraborty , Sukanta Bose

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

We find the dynamical tidal response of a Kerr black hole (BH) and demonstrate its tidal Love numbers to be non-vanishing when present in a non-axisymmetric external tidal field. To leading order, they depend quadratically on the black hole…

广义相对论与量子宇宙学 · 物理学 2025-02-27 Rajendra Prasad Bhatt , Sumanta Chakraborty , Sukanta Bose

We extract the black hole (BH) static tidal deformability coefficients (Love numbers) and their spin-0 and spin-1 analogs by comparing on-shell amplitudes for fields to scatter off a spinning BH in the worldline effective field theory (EFT)…

高能物理 - 理论 · 物理学 2023-03-15 Mikhail M. Ivanov , Zihan Zhou

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
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