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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 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 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

It is generally believed that tidal deformations of a black hole in an external field, as measured using its gravitational field multipoles, vanish. However, this does not mean that the black hole horizon is not deformed. Here we shall…

广义相对论与量子宇宙学 · 物理学 2024-06-17 A. Ribes Metidieri , B. Bonga , B. Krishnan

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 deformability of a compact object induced by a perturbing tidal field is encoded in the tidal Love numbers, which depend sensibly on the object's internal structure. These numbers are known only for static, spherically-symmetric…

广义相对论与量子宇宙学 · 物理学 2015-07-01 Paolo Pani , Leonardo Gualtieri , Andrea Maselli , Valeria Ferrari

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 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

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

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 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

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

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

An important physical phenomenon that manifests itself during the inspiral of two orbiting compact objects is the tidal deformation of each under the gravitational influence of its companion. In the case of binary neutron star mergers, this…

广义相对论与量子宇宙学 · 物理学 2022-02-22 Vaishak Prasad , Anshu Gupta , Sukanta Bose , Badri Krishnan

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

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

Love numbers of compact objects quantify their tidal deformability against external perturbations. It is expected that Love numbers of asymptotically flat black holes (BHs) in General Relativity are identically zero. We show that quite…

广义相对论与量子宇宙学 · 物理学 2024-05-09 Sreejith Nair , Sumanta Chakraborty , Sudipta Sarkar

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

The tidal response of compact objects in an inspiraling binary system is measured by a set of tidal Love and dissipation numbers imprinted in the gravitational waveforms. While a four-dimensional black hole in vacuum within General…

广义相对论与量子宇宙学 · 物理学 2025-07-15 Takuya Katagiri , Hiroyuki Nakano , Kazuyuki Omukai

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
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