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Related papers: Love numbers of black holes and compact objects

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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

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

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

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

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

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…

General Relativity and Quantum Cosmology · Physics 2015-07-01 Paolo Pani , Leonardo Gualtieri , Andrea Maselli , Valeria Ferrari

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…

General Relativity and Quantum Cosmology · Physics 2020-09-25 Cecilia Chirenti , Camilo Posada , Victor Guedes

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…

General Relativity and Quantum Cosmology · Physics 2022-02-22 Vaishak Prasad , Anshu Gupta , Sukanta Bose , Badri Krishnan

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 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

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…

General Relativity and Quantum Cosmology · Physics 2025-11-03 Sumanta Chakraborty , Valerio De Luca , Leonardo Gualtieri , Paolo Pani

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…

General Relativity and Quantum Cosmology · Physics 2021-03-24 Eric Poisson

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 calculate the tidal Love numbers of black holes and neutron stars in the presence of higher dimensions. The perturbation equations around an arbitrary static and spherically symmetric metric for the even parity modes are presented in the…

General Relativity and Quantum Cosmology · Physics 2019-01-30 Kabir Chakravarti , Sumanta Chakraborty , Sukanta Bose , Soumitra SenGupta

The response of a gravitating object to an external tidal field is encoded in its Love numbers, which identically vanish for classical blackholes (BHs). Here we show, using standard time-independent quantum perturbation theory, that for a…

General Relativity and Quantum Cosmology · Physics 2022-01-20 Ram Brustein , Yotam Sherf

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

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…

General Relativity and Quantum Cosmology · Physics 2025-06-26 Michela Silvestrini , Elisa Maggio , Sumanta Chakraborty , Paolo Pani

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

The coupling between the angular momentum of a compact object and an external tidal field gives rise to the "rotational" tidal Love numbers, which affect the tidal deformability of a spinning self-gravitating body and enter the…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Gonçalo Castro , Leonardo Gualtieri , Paolo Pani
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