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The response of astrophysical compact objects to external tidal fields carries valuable information on the nature of these objects, on the equation of state of matter, and on the underlying gravitational theory. In this work, we highlight…

General Relativity and Quantum Cosmology · Physics 2025-04-23 Takuya Katagiri , Kent Yagi , Vitor Cardoso

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…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Sumanta Chakraborty , Paolo Pani

The tidal response of a compact object is a key gravitational-wave observable encoding information about its interior. This link is subtle due to the nonlinearities of general relativity. We show that considering a scattering process…

General Relativity and Quantum Cosmology · Physics 2022-10-26 Gastón Creci , Tanja Hinderer , Jan Steinhoff

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

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

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

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

The foundation for modeling the coupling of the internal structure of compact objects in binary systems to their dynamics and emitted gravitational waves is a systematic effective field theory (EFT) framework, where each compact object is…

General Relativity and Quantum Cosmology · Physics 2026-05-04 Sumanta Chakraborty , M. V. S Saketh , Tanja Hinderer , Jan Steinhoff

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…

General Relativity and Quantum Cosmology · Physics 2023-10-12 Rajendra Prasad Bhatt , Sumanta Chakraborty , Sukanta Bose

As a possible alternative to black holes, horizonless compact objects have significant implications for gravitational-wave physics. In this work, we utilize the standard linearized theory of general relativity to calculate the quadrupolar…

General Relativity and Quantum Cosmology · Physics 2023-08-08 Rui-Xin Yang , Fei Xie , Dao-Jun Liu

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…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Valerio De Luca , Justin Khoury , Sam S. C. Wong

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…

General Relativity and Quantum Cosmology · Physics 2020-03-25 Vitor Cardoso , Francisco Duque

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

Ultralight bosonic fields can form condensates, or clouds, around spinning black holes. When this system is under the influence of a secondary massive body, its tidal response can be quantified in the tidal Love numbers (TLNs). Although…

General Relativity and Quantum Cosmology · Physics 2025-02-12 Ricardo Arana , Richard Brito , Gonçalo Castro

Tidal interactions play a crucial role in deciphering gravitational wave signals emitted by the coalescence of binary systems. They are usually quantified by a set of complex coefficients which include tidal Love numbers, describing the…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Valerio De Luca , Alice Garoffolo , Justin Khoury , Mark Trodden

In Newtonian gravitational theory, a tidal Love number relates the mass multipole moment created by tidal forces on a spherical body to the applied tidal field. The Love number is dimensionless, and it encodes information about the body's…

General Relativity and Quantum Cosmology · Physics 2009-10-29 Taylor Binnington , Eric Poisson

Black holes and wormholes are solutions of Einstein's field equations, both of which, from afar, look like a central mass. We show here that although at large distances both behave like Newtonian objects, close to the event horizon or to…

High Energy Astrophysical Phenomena · Physics 2021-03-31 Pritam Banerjee , Suvankar Paul , Rajibul Shaikh , Tapobrata Sarkar

The response of a black hole (BH) to tidal forces encodes key information about the underlying gravitational theory and affects the waveform of gravitational waves emitted during binary inspiral processes. In this paper, we analyze the…

General Relativity and Quantum Cosmology · Physics 2026-04-08 Hajime Kobayashi , Shinji Mukohyama , Naritaka Oshita , Kazufumi Takahashi , Vicharit Yingcharoenrat

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…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Rui Wang , Qi-Long Shi , Wei Xiong , Peng-Cheng Li
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