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We study tidal Love numbers of static black holes in four-dimensional quadratic theory of gravity, extending the result of GR. We use worldline effective field theory (WEFT) methods to compute metric perturbations from one-point functions,…

High Energy Physics - Theory · Physics 2025-11-25 Arpan Bhattacharyya , Saptaswa Ghosh , Naman Kumar , Shailesh Kumar , Sounak Pal

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 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

Tools from scattering amplitudes and effective field theory have recently been repurposed to derive state-of-the-art results for the black hole binary inspiral in the post-Minkowskian expansion. In the present work we extend this approach…

High Energy Physics - Theory · Physics 2020-11-11 Clifford Cheung , Mikhail P. Solon

We extract the black hole (BH) static tidal deformability coefficients (Love numbers) and their spin-0 and spin-1 analogs by comparing on-shell amplitudes for fields to scatter off a spinning BH in the worldline effective field theory (EFT)…

High Energy Physics - Theory · Physics 2023-03-15 Mikhail M. Ivanov , Zihan Zhou

Accurately modeling the tidal response of neutron stars is crucial to connecting gravitational wave observations of binaries to ultra-dense nuclear physics. Most current models of the tidal response of relativistic stars either assume a…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Abhishek Hegade K. R. , Justin L. Ripley , Nicolás Yunes

For a variety of fully relativistic polytropic neutron star models we calculate the star's tidal Love number k2. Most realistic equations of state for neutron stars can be approximated as a polytrope with an effective index n~0.5-1.0. The…

Astrophysics · Physics 2009-03-20 Tanja Hinderer

Using Effective Field Theory (EFT) methods, we compute the effects of horizon dissipation on the gravitational interactions of relativistic binary black hole systems. We assume that the dynamics is perturbative, i.e it admits an expansion…

High Energy Physics - Theory · Physics 2020-10-28 Walter D. Goldberger , Ira Z. Rothstein

By extending our recent framework to describe the tidal deformations of a spinning compact object, we compute for the first time the tidal Love numbers of a spinning neutron star to linear order in the angular momentum. The spin of the…

General Relativity and Quantum Cosmology · Physics 2015-12-03 Paolo Pani , Leonardo Gualtieri , Valeria Ferrari

Observations of gravitational waves from inspiralling neutron star binaries---such as GW170817---can be used to constrain the nuclear equation of state by placing bounds on stellar tidal deformability. For slowly rotating neutron stars, the…

General Relativity and Quantum Cosmology · Physics 2018-04-03 Jérémie Gagnon-Bischoff , Stephen R. Green , Philippe Landry , Néstor Ortiz

The physical significance of tidal deformation in astronomical systems has long been known. The recently discovered universal I-Love-Q relations, which connect moment of inertia, quadrupole tidal Love number, and spin-induced quadrupole…

Solar and Stellar Astrophysics · Physics 2017-09-19 Kenny L. S. Yip , P. T. Leung

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 recent detection of gravitational waves from a neutron star merger was a significant step towards constraining the nuclear matter equation of state by using the tidal Love numbers (TLNs) of the merging neutron stars. Measuring or…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Stoytcho S. Yazadjiev , Daniela D. Doneva , Kostas D. Kokkotas

We develop approximate ``analytic-kludge" waveforms to describe the inspiral of a stellar-mass compact object into a supermassive compact object in an extreme mass ratio inspiral (EMRI) scenario. The deformability of the supermassive…

General Relativity and Quantum Cosmology · Physics 2023-06-22 Tieguang Zi , Peng-Cheng Li

The tidal properties of a neutron star are measurable in the gravitational waves emitted from inspiraling binary neutron stars, and they have been used to constrain the neutron star equation of state. In the same spirit, we study the…

High Energy Astrophysical Phenomena · Physics 2022-07-07 Kwing-Lam Leung , Ming-Chung Chu , Lap-Ming Lin

Massive states produce higher derivative corrections to Einstein gravity in the infrared, which are encoded into operators of the Effective Field Theory (EFT) of gravity. These EFT operators modify the geometry and affect the tidal…

High Energy Physics - Theory · Physics 2025-07-24 Sergio Barbosa , Philippe Brax , Sylvain Fichet , Lucas de Souza

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

Gravitational waves emitted in the late inspiral of binary neutron stars are affected by their tidal deformation. We study the tidal dynamics in full general relativity through matched-asymptotic expansions and prove that the dynamical…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Abhishek Hegade K. R. , K. J. Kwon , Tejaswi Venumadhav , Hang Yu , Nicolás Yunes

Tidal interactions in a coalescing binary neutron star (BNS) or neutron star-black hole (NSBH) system driven by gravitational wave (GW) radiation contain precious information about physics both at extreme density and in the highly…

General Relativity and Quantum Cosmology · Physics 2025-03-11 Hang Yu , Shu Yan Lau

In this present work, we suggest studying neutron star with a conformal coupling by using the analytical expressions of realistic equations of state. The equations of perturbed and nonperturbed metrics, scalar field and the pressure of the…

General Relativity and Quantum Cosmology · Physics 2021-10-28 Hamza Boumaza