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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

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

Gravitational waves from compact binary coalescences are valuable for testing theories of gravity in the strong field regime. By measuring neutron star tidal deformability using gravitational waves from binary neutron stars, stringent…

General Relativity and Quantum Cosmology · Physics 2024-08-21 Stephanie M. Brown

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

Tidal deformability of a coalescing neutron star subjected to an external tidal field plays an important role in our probe for the structure and properties of compact stars. In particular, the tidal love number provides valuable information…

General Relativity and Quantum Cosmology · Physics 2020-12-24 Shyam Das , Bikram Keshari Parida , Ranjan Sharma

The gravitational wave signal from a binary neutron star merger carries the imprint of the deformability properties of the coalescing bodies, and then of the equation of state of neutron stars. In current models of the waveforms emitted in…

General Relativity and Quantum Cosmology · Physics 2022-07-20 Gonçalo Castro , Leonardo Gualtieri , Andrea Maselli , Paolo Pani

Gravitational-wave measurements of the tidal deformability of neutron stars could reveal important information regarding their internal structure, the equation of state of high-dense nuclear matter and gravity in strong field regime. In…

General Relativity and Quantum Cosmology · Physics 2021-11-16 Liang Meng , Dao-Jun Liu

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 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

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

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 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 discuss the response of neutron stars to the tidal interaction in a compact binary system, as encoded in the Love number associated with the induced deformation. This problem is of interest for gravitational-wave astronomy as there may…

Solar and Stellar Astrophysics · Physics 2013-05-29 A. J. Penner , N. Andersson , L. Samuelsson , I. Hawke , D. I. Jones

We investigate the constraints on the mass and radius of neutron stars by considering the tidal deformability in the merge of neutron star binaries. In order to extract the most reliable range of uncertainty from theory, we employ models…

Nuclear Theory · Physics 2019-01-02 Young-Min Kim , Yeunhwan Lim , Kyujin Kwak , Chang Ho Hyun , Chang-Hwan Lee

We carefully develop the framework required to model the dynamical tidal response of a spinning neutron star in an inspiralling binary system, in the context of Newtonian gravity, making sure to include all relevant details and connections…

General Relativity and Quantum Cosmology · Physics 2024-01-05 Pantelis Pnigouras , Fabian Gittins , Amlan Nanda , Nils Andersson , David Ian Jones

We investigate the tidal deformability of a superfluid neutron star. We calculate the equilibrium structure in the general relativistic two-fluid formalism with entrainment effect where we take neutron superfluid as one fluid and the other…

General Relativity and Quantum Cosmology · Physics 2018-10-10 Prasanta Char , Sayak Datta

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

We compute tidal signatures in the gravitational waves (GWs) from neutron star binary inspirals in scalar-tensor gravity, where the dominant adiabatic even-parity tidal interactions involve three types of Love numbers that depend on the…

General Relativity and Quantum Cosmology · Physics 2025-08-04 Gastón Creci , Iris van Gemeren , Tanja Hinderer , Jan Steinhoff

Precise measurements of neutron star observables (such as mass and radius) allow one to constrain the equations of state for supranuclear matter and develop a stronger understanding of nuclear physics. The Neutron star Interior Composition…

General Relativity and Quantum Cosmology · Physics 2025-01-31 Tristen Lowrey , Kent Yagi , Nicolás Yunes

We present results for the tidal deformability in neutron stars, the tidal Love number $k_2$, and the effective deformability of a binary system. The microscopic equation of state for cold $\beta$-stable neutron matter is based upon…

Nuclear Theory · Physics 2026-05-25 Francesca Sammarruca , Prabin Thapa
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