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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

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

It is well known that asymptotically flat black holes in general relativity have vanishing tidal Love numbers. In the case of Schwarzschild and Kerr black holes, this property has been shown to be a consequence of a hidden structure of…

广义相对论与量子宇宙学 · 物理学 2024-07-17 Mudit Rai , Luca Santoni

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 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

We derive the quadratic action for the physical degrees of freedom of massless spin-0, spin-1, and spin-2 perturbations on a Schwarzschild--(A)dS background in arbitrary dimensions. We then use these results to compute the static response…

高能物理 - 理论 · 物理学 2024-02-13 Lam Hui , Austin Joyce , Riccardo Penco , Luca Santoni , Adam R. Solomon

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

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

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

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

Loops of virtual particles from the vacuum of quantum field theory (QFT) render black holes tidally deformable. We compute the static tidal response of unspinning charged black holes at arbitrary radius, using the perturbative formalism…

高能物理 - 理论 · 物理学 2026-02-03 Sergio Barbosa , Sylvain Fichet , Lucas de Souza

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

A well-known result in general relativity is that the tidal Love numbers of black holes vanish. In contrast, different configurations to a black hole may have non-vanishing Love numbers. For instance, it has been conjectured recently that…

广义相对论与量子宇宙学 · 物理学 2025-03-28 Camilo Posada

A set of tidal Love numbers quantifies tidal deformation of compact objects and is a detectable imprint in gravitational waves from inspiralling binary systems. The measurement of black hole Love numbers allows to test strong-field gravity.…

广义相对论与量子宇宙学 · 物理学 2024-02-15 Takuya Katagiri , Tact Ikeda , Vitor Cardoso

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…

广义相对论与量子宇宙学 · 物理学 2025-03-31 Sumanta Chakraborty , Geoffrey Compère , Ludovico Machet

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

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

Black hole solutions of general relativity exhibit a symmetry for the static perturbations around these spacetimes, known as "ladder symmetry". This symmetry proves useful in constructing a tower of solutions for perturbations and…

广义相对论与量子宇宙学 · 物理学 2024-06-14 Chanchal Sharma , Rajes Ghosh , Sudipta Sarkar

The static Love numbers of four-dimensional asymptotically flat, isolated, general-relativistic black holes are known to be identically vanishing. The Love symmetry proposal suggests that such vanishings are addressed by selection rules…

高能物理 - 理论 · 物理学 2024-04-29 Panagiotis Charalambous

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
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