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Related papers: Tidal deformations of a spinning compact object

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We describe the possibility of using LISA's gravitational-wave observations to study, with high precision, the response of a massive central body to the tidal gravitational pull of an orbiting, compact, small-mass object. Motivated by this…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Hua Fang , Geoffrey Lovelace

Tidal forces cause inspiralling binary neutron stars to deform, leaving a measurable imprint on the gravitational waves they emit. The induced stellar multipoles are an added source of gravitational radiation and modify the orbital…

General Relativity and Quantum Cosmology · Physics 2018-05-07 Philippe Landry

We investigate the nonlinear tidal response of relativistic neutron stars by computing the fully relativistic, static, quadratic Love numbers. Using both the worldline effective field theory for extended gravitating bodies and second-order…

General Relativity and Quantum Cosmology · Physics 2025-12-17 Paolo Pani , Massimiliano Maria Riva , Luca Santoni , Nikola Savić , Filippo Vernizzi

Gravitational waves from the final stages of inspiralling binary neutron stars are expected to be one of the most important sources for ground-based gravitational wave detectors. The masses of the components are determinable from the…

Solar and Stellar Astrophysics · Physics 2014-02-25 Sergey Postnikov , Madappa Prakash , James Lattimer

We match scattering amplitudes in point particle effective field theory (EFT) and general relativity to extract low frequency dynamical tidal responses of rotating (Kerr) black holes to all orders in spin. In the conservative sector, we…

High Energy Physics - Theory · Physics 2024-03-29 M. V. S. Saketh , Zihan Zhou , Mikhail M. Ivanov

We compute the tidal Love numbers and static response coefficients associated to several rotating black holes in higher dimensions, including Myers-Perry black holes, black rings, and black strings. These coefficients exhibit a rich and…

High Energy Physics - Theory · Physics 2023-11-08 Maria J. Rodriguez , Luca Santoni , Adam R. Solomon , Luis Fernando Temoche

In a previous paper, we developed tools for studying the horizon geometry of a Kerr black hole that is tidally distorted by a binary companion using techniques that require large mass ratios but can be applied to any bound orbit and allow…

General Relativity and Quantum Cosmology · Physics 2016-09-07 Stephen O'Sullivan , Scott A. Hughes

Love numbers of compact objects quantify their tidal deformability against external perturbations. It is expected that Love numbers of asymptotically flat black holes (BHs) in General Relativity are identically zero. We show that quite…

General Relativity and Quantum Cosmology · Physics 2024-05-09 Sreejith Nair , Sumanta Chakraborty , Sudipta Sarkar

We calculate the linear vacuum perturbations of a Kerr black hole surrounded by a slowly-varying external spacetime to third order in the ratio of the black-hole mass to the radius of curvature of the external spacetime. This expansion…

General Relativity and Quantum Cosmology · Physics 2013-02-13 Katerina Chatziioannou , Eric Poisson , Nicolas Yunes

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

In this work, we revisit black hole Love numbers from two complementary perspectives. First, we develop a manifestly gauge-invariant framework that directly integrates out the short-distance degrees of freedom of a static black hole in…

High Energy Physics - Theory · Physics 2026-05-01 Itamar Cohen , Dina Meylakh , Michael Smolkin , Israel Warszawiak

It is well known that asymptotically flat Schwarzschild black holes in general relativity in four spacetime dimensions have vanishing induced linear tidal response. We extend this result beyond linear order for the polar sector, by solving…

General Relativity and Quantum Cosmology · Physics 2024-05-29 Massimiliano Maria Riva , Luca Santoni , Nikola Savić , Filippo Vernizzi

We consider the motion of nonspinning, compact objects orbiting around a Kerr black hole with tidal couplings. The tide-induced quadrupole moment modifies both the orbital energy and outgoing fluxes, so that over the inspiral timescale…

General Relativity and Quantum Cosmology · Physics 2022-06-01 Xuefeng Feng , Zhenwei Lyu , Huan Yang

Topological stars, or top stars for brevity, are smooth horizonless static solutions of Einstein-Maxwell theory in 5-d that reduce to spherically symmetric solutions of Einstein-Maxwell-Dilaton theory in 4-d. We study linear scalar…

General Relativity and Quantum Cosmology · Physics 2023-09-04 Massimo Bianchi , Giorgio Di Russo , Alfredo Grillo , Jose Francisco Morales , Giuseppe Sudano

We present a consistent mapping between tidal deformability coefficients (tidal Love numbers) and Wilson coefficients in effective field theory (EFT) descriptions of higher-curvature theories of gravity. In this work, we focus on the…

General Relativity and Quantum Cosmology · Physics 2026-04-08 Luohan Wang , Luis Lehner , Maitá Micol , Riccardo Sturani

The inclusion of finite-size effects in the gravitational waveform templates allows not only to constrain the internal structure of compact objects, but to test deviations from general relativity. Here, we address the problem of tidal…

General Relativity and Quantum Cosmology · Physics 2023-03-02 Laura Bernard

The tidal love number determines a star's deformability rate in the presence of gravitational potential and depends on the star's internal structure. In this work, we investigate two significant prospects on tidal love number : (i) the…

Astrophysics of Galaxies · Physics 2023-11-07 P. C Lalremruati , H lalrinfela , Zodinmawia

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

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

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
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