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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 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…

广义相对论与量子宇宙学 · 物理学 2025-04-23 Takuya Katagiri , Kent Yagi , Vitor Cardoso

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

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 effects on compact objects provide profound theoretical insights into the structure of the field equations, and are wonderful probes of the equation of state of matter, the nature of black holes and of the underlying theory of…

广义相对论与量子宇宙学 · 物理学 2025-04-23 Takuya Katagiri , Vitor Cardoso , Tact Ikeda , Kent Yagi

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…

广义相对论与量子宇宙学 · 物理学 2013-05-22 Sayan Chakrabarti , Térence Delsate , 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…

广义相对论与量子宇宙学 · 物理学 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…

广义相对论与量子宇宙学 · 物理学 2023-08-08 Rui-Xin Yang , Fei Xie , Dao-Jun Liu

We present a framework for systematic computations of scattering amplitudes for gravitational Raman scattering, -- the inelastic scattering of massless fields off compact relativistic objects. We focus on the small-frequency…

高能物理 - 理论 · 物理学 2026-02-09 Mikhail M. Ivanov , Yue-Zhou Li , Julio Parra-Martinez , Zihan Zhou

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…

广义相对论与量子宇宙学 · 物理学 2009-10-29 Taylor Binnington , Eric Poisson

The tidal deformability is a key observable to test the nature of compact objects in a binary coalescence. Within vacuum General Relativity, the tidal Love numbers of a four-dimensional black hole are strictly zero, while they are non-zero…

广义相对论与量子宇宙学 · 物理学 2025-06-26 Michela Silvestrini , Elisa Maggio , Sumanta Chakraborty , Paolo Pani

We develop a fully relativistic approach for determining the response of a compact star to a time/frequency dependent (tidal) environment. The strategy involves matching the solution for the linearised fluid dynamics in the star's interior…

广义相对论与量子宇宙学 · 物理学 2026-03-25 Nils Andersson , Rhys Counsell , Fabian Gittins , Suprovo Ghosh

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

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…

地球与行星天体物理 · 物理学 2015-06-12 Gordon I. Ogilvie

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…

广义相对论与量子宇宙学 · 物理学 2026-04-08 Hajime Kobayashi , Shinji Mukohyama , Naritaka Oshita , Kazufumi Takahashi , Vicharit Yingcharoenrat

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…

广义相对论与量子宇宙学 · 物理学 2026-05-04 Sumanta Chakraborty , M. V. S Saketh , Tanja Hinderer , Jan Steinhoff

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 examine the tidal deformation of a nonrotating compact body (material body or black hole) in general relativity. The body's exterior metric is calculated in a simultaneous expansion in powers of the ratio between the distance to the body…

广义相对论与量子宇宙学 · 物理学 2021-03-24 Eric Poisson

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 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…

广义相对论与量子宇宙学 · 物理学 2024-09-10 Valerio De Luca , Alice Garoffolo , Justin Khoury , Mark Trodden
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