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Related papers: Tidal Love numbers for regular black holes

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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

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

We derive the model of the Schwarzschild black hole immersed into a dark matter halo with a relativistic Hernquist profile, the Schwarzschild-Hernquist black hole, and obtain its tidal Love numbers and quasi-normal modes. We thoroughly…

General Relativity and Quantum Cosmology · Physics 2025-03-31 Sumanta Chakraborty , Geoffrey Compère , Ludovico Machet

The tidal Love numbers parametrize the conservative induced tidal response of self-gravitating objects. It is well established that asymptotically-flat black holes in four-dimensional general relativity have vanishing Love numbers. In…

General Relativity and Quantum Cosmology · Physics 2025-04-21 Oscar Combaluzier-Szteinsznaider , Lam Hui , Luca Santoni , Adam R. Solomon , Sam S. C. Wong

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 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…

General Relativity and Quantum Cosmology · Physics 2021-04-15 Alexandre Le Tiec , Marc Casals , Edgardo Franzin

We study the tidal deformations of various known black hole and wormhole solutions in a simple context of warped compactification -- Randall-Sundrum theory in which the four-dimensional spacetime geometry is that of a brane embedded in…

General Relativity and Quantum Cosmology · Physics 2020-09-02 H. S. Tan

It is well known that asymptotically flat black holes in general relativity have vanishing tidal Love numbers. In the case of Schwarzschild and Kerr black holes, this property has been shown to be a consequence of a hidden structure of…

General Relativity and Quantum Cosmology · Physics 2024-07-17 Mudit Rai , Luca Santoni

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…

General Relativity and Quantum Cosmology · Physics 2021-04-02 Alexandre Le Tiec , Marc Casals

The deformability of a compact object under the presence of a tidal perturbation is encoded in the tidal Love numbers (TLNs), which vanish for isolated black holes in vacuum. We show that the TLNs of black holes surrounded by matter fields…

General Relativity and Quantum Cosmology · Physics 2021-08-25 V. De Luca , P. Pani

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

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

We compute the tidal Love numbers for a particular axially symmetric configuration of extremal Reissner-Nordstrom geometry. By exactly solving the non-linear Einstein equations, we investigate the tidal response of extremal…

General Relativity and Quantum Cosmology · Physics 2025-12-03 L. R. Gounis , A. Kehagias , G. Panagopoulos , A. Riotto

We show that the static tidal Love number of Schwarzschild black holes in four dimensions and in the vacuum vanishes at any order in the external tidal force. We also identify the underlying non-linear symmetry which is responsible for this…

General Relativity and Quantum Cosmology · Physics 2024-10-16 Alex Kehagias , Antonio Riotto

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

Dynamical Love numbers capture the conservative response of an object to a time-dependent external tidal gravitational field. We compute the dynamical Love numbers of Schwarzschild black holes in general relativity within a point-particle…

General Relativity and Quantum Cosmology · Physics 2026-01-19 Oscar Combaluzier--Szteinsznaider , Daniel Glazer , Austin Joyce , Maria J. Rodriguez , Luca Santoni

Black holes in General Relativity exhibit a remarkable feature: their response to static scalar, electromagnetic, and gravitational perturbations -- as quantified by the so-called tidal Love numbers -- vanishes identically. We present the…

General Relativity and Quantum Cosmology · Physics 2026-03-18 Sumanta Chakraborty , Pierre Heidmann , Paolo Pani

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

A well-known result in general relativity is that the tidal Love numbers of black holes vanish. In contrast, different configurations to a black hole may have non-vanishing Love numbers. For instance, it has been conjectured recently that…

General Relativity and Quantum Cosmology · Physics 2025-03-28 Camilo Posada

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