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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…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Takuya Katagiri , Hiroyuki Nakano , Kazuyuki Omukai

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…

General Relativity and Quantum Cosmology · Physics 2026-04-13 María J. Rodríguez , Luca Santoni , Adam R. Solomon

We construct a novel effective field theory for a compact body coupled to gravity, whose key feature is that the dynamics of gravitational perturbations is explicitly determined by known solutions in black hole perturbation theory in four…

High Energy Physics - Theory · Physics 2025-12-04 Dimitrios Kosmopoulos , Davide Perrone , Mikhail Solon

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…

General Relativity and Quantum Cosmology · Physics 2023-10-06 Malcolm Perry , Maria J. Rodriguez

The Effective Field Theory (EFT) of perturbations on an arbitrary background geometry with a timelike scalar profile was recently constructed in the context of scalar-tensor theories. In this paper, we use this EFT to study quasinormal…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Shinji Mukohyama , Kazufumi Takahashi , Keitaro Tomikawa , Vicharit Yingcharoenrat

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…

General Relativity and Quantum Cosmology · Physics 2025-02-17 Valerio De Luca , Brandon Khek , Justin Khoury , Mark Trodden

We elaborate on a powerful tidal interaction formalism where the multipole dynamics is kept generic and encoded in a linear response function. This response function is the gravitational counterpart of the atomic spectrum and can become of…

General Relativity and Quantum Cosmology · Physics 2013-05-22 Sayan Chakrabarti , Térence Delsate , Jan Steinhoff

Motivated by events in which black holes can lose their environment due to tidal interactions in a binary system, we develop a waveform model in which the tidal deformability interpolates between a finite value (dressed black hole) at…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Valerio De Luca , Andrea Maselli , 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…

General Relativity and Quantum Cosmology · Physics 2026-01-29 Valerio De Luca , Brandon Khek , Justin Khoury , Mark Trodden

We develop a framework to compute the tidal response of a Kerr-like compact object in terms of its reflectivity, compactness, and spin, both in the static and the frequency-dependent case. Here we focus on the low-frequency regime, which…

General Relativity and Quantum Cosmology · Physics 2024-10-17 Sumanta Chakraborty , Elisa Maggio , Michela Silvestrini , Paolo Pani

In this work, we investigate the tidal deformability of regular black holes (RBHs). Employing different phenomenological models, we analyze their response to both test fields and gravitational perturbations, interpreting the latter within…

General Relativity and Quantum Cosmology · Physics 2025-05-29 Chiara Coviello , Luis Lehner , Vania Vellucci

We discuss the linear response to low-frequency tidal forcing of fluid bodies that are slowly and uniformly rotating, are neutrally stratified and may contain a solid or fluid core. This problem may be regarded as a simplified model of…

Earth and Planetary Astrophysics · Physics 2015-06-12 Gordon I. Ogilvie

We investigate the tidal response of general five-dimensional (5D) black holes of STU supergravity, which include as special cases important solutions such as the Myers-Perry, BMPV, 5D Reissner-Nordstr\"om, Kerr-Newman and dyonic black…

High Energy Physics - Theory · Physics 2026-01-29 M. Cvetič , M. A. Liao , M. M Stetsko

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…

High Energy Astrophysical Phenomena · Physics 2026-03-13 Enrico Cannizzaro , Valerio De Luca , Paolo Pani

Recently, the Effective Field Theory (EFT) of perturbations on an arbitrary background metric with a timelike scalar profile was formulated in the context of scalar-tensor theories. Here, we generalize the dictionary between the…

General Relativity and Quantum Cosmology · Physics 2022-10-26 Shinji Mukohyama , Kazufumi Takahashi , Vicharit Yingcharoenrat

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…

General Relativity and Quantum Cosmology · Physics 2024-12-12 L. -R. Gounis , A. Kehagias , A. Riotto

The mass of a black hole can dynamically evolve due to various physical processes, such as for instance accretion, Hawking radiation, absorption of gravitational/electromagnetic waves, superradiance, etc. This evolution can have an impact…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Lodovico Capuano , Luca Santoni , Enrico Barausse

Using conformal field theory and localization tecniques we study the propagation of waves in gravity backgrounds described by Schr\"odinger like equations with Fuchsian singularities. Exact formulae for the connection matrices relating the…

High Energy Physics - Theory · Physics 2023-01-04 Dario Consoli , Francesco Fucito , Jose Francisco Morales , Rubik Poghossian

We study the tidal deformability of horizonless exotic compact objects, with implications for area quantized black holes. Since, any such horizonless compact object, including area quantized black hole, possesses a non-zero reflectivity, it…

General Relativity and Quantum Cosmology · Physics 2023-07-05 Sreejith Nair , Sumanta Chakraborty , Sudipta Sarkar

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…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Horng Sheng Chia