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We study the effect of superfluidity on the tidal response of a neutron star in a general relativistic framework. In this work, we take a dual-layer approach where the superfluid matter is confined in the core of the star. Then, the…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Sayak Datta , Prasanta Char

We study the tidal problem and the resulting $I$-Love-$Q$ approximate universal relations for rotating superfluid neutron stars in the Hartle-Thorne formalism. Superfluid stars are described in this work by means of a two-fluid model…

General Relativity and Quantum Cosmology · Physics 2023-11-23 Eneko Aranguren , José A. Font , Nicolas Sanchis-Gual , Raül Vera

We study the tidal response of a superfluid neutron star in a binary system, focussing on Newtonian models with superfluid neutrons present throughout the star's core and the inner crust. Within the two-fluid formalism, we consider the main…

High Energy Astrophysical Phenomena · Physics 2022-06-22 Andrea Passamonti , Nils Andersson , Pantelis Pnigouras

We systematically study the tidal deformability for neutron and hyperon stars using relativistic mean field (RMF) equations of state (EOSs). The tidal effect plays an important role during the early part of the evolution of compact…

Nuclear Theory · Physics 2017-01-11 Bharat Kumar , S. K. Biswal , S. K. Patra

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

Both relativistic and non-relativistic two-fluid models of neutron star cores are constructed, using the constrained variational formalism developed by Brandon Carter and co-workers. We consider a mixture of superfluid neutrons and…

Astrophysics · Physics 2008-08-05 N. Chamel

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

We describe recent progress in the numerical study of the structure of rapidly rotating superfluid neutron star models in full general relativity. The superfluid neutron star is described by a model of two interpenetrating and interacting…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Prix , J. Novak , G. L. Comer

The tidal problem is used to obtain the tidal deformability (or Love number) of stars. The semi-analytical study is usually treated in perturbation theory as a first order perturbation problem over a spherically symmetric background…

General Relativity and Quantum Cosmology · Physics 2024-04-24 Eneko Aranguren , Raül Vera

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 purpose of these notes is to give a brief review of superfluidity in neutron stars. After a short presentation explaining why and how superfluidity is expected in the crust and core of neutron stars, consequences on thermal evolution…

Astrophysics · Physics 2007-05-23 David Langlois

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

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

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

We develop a general formalism to treat, in general relativity, the nonradial oscillations of a superfluid neutron star about static (non-rotating) configurations. The matter content of these stars can, as a first approximation, be…

General Relativity and Quantum Cosmology · Physics 2009-11-07 N. Andersson , G. L. Comer , D. Langlois

There is a growing interest in investigating modified theories of gravity, primarily, with the aim of explaining the universe's accelerated expansion, which has been confirmed by several independent observations. Compact objects, like…

General Relativity and Quantum Cosmology · Physics 2021-08-16 K Nobleson , Tuhin Malik , Sarmistha Banik

We present a general formalism to treat slowly rotating general relativistic superfluid neutron stars. As a first approximation, their matter content can be described in terms of a two-fluid model, where one fluid is the neutron superfluid,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 N. Andersson , G. L. Comer

We have developed a theoretical model and a numerical code for stationary rotating superfluid neutron stars in full general relativity. The underlying two-fluid model is based on Carter's covariant multi-fluid hydrodynamic formalism. The…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Reinhard Prix , Jerome Novak , G. L. Comer

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 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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