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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 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

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

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

In a recent paper we applied a rigorous perturbed matching framework to show the amendment of the mass of rotating stars in Hartle's model. Here, we apply this framework to the tidal problem in binary systems. Our approach fully accounts…

General Relativity and Quantum Cosmology · Physics 2017-07-26 Borja Reina , Nicolas Sanchis-Gual , Raül Vera , José A. Font

One of largest uncertainties in nuclear physics is the relation between the pressure and density of supranuclear matter: the equation of state. Some of this uncertainty may be removed through future gravitational wave observations of…

General Relativity and Quantum Cosmology · Physics 2018-10-16 Kent Yagi , Nicolas Yunes

Over the past decade, gravitational-wave astronomy has opened a new window onto the extreme states of matter inside compact stars. At some point during the inspiral of a binary system, each star starts to experience adiabatic tides,…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Ethan Carlier , Nicolas Chamel

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 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

This article is intended for undergraduate students with the aim to provide a pedagogical introduction to the physics of stellar tidal deformations. The spherically symmetric shape of any star is deformed via rotation around an arbitrary…

High Energy Astrophysical Phenomena · Physics 2020-07-02 Andreas Zacchi

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

When in a tight binary, the mutual tidal deformations of neutron stars imprint onto observables, encoding information about their internal structure at supranuclear densities and gravity in the extreme-gravity regime. Gravitational wave…

General Relativity and Quantum Cosmology · Physics 2016-06-22 Kent Yagi , Nicolas Yunes

Fermion soliton stars are a consistent model of exotic compact objects which involve a nonlinear interaction between a real scalar field and fermions through a Yukawa term. This interaction results in an effective fermion mass that depends…

General Relativity and Quantum Cosmology · Physics 2024-06-07 Emanuele Berti , Valerio De Luca , Loris Del Grosso , Paolo Pani

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 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

The tidal deformability is a key observable to test the nature of compact objects in a binary coalescence. Within vacuum General Relativity, the tidal Love numbers of a four-dimensional black hole are strictly zero, while they are non-zero…

General Relativity and Quantum Cosmology · Physics 2025-06-26 Michela Silvestrini , Elisa Maggio , Sumanta Chakraborty , Paolo Pani

Quasi-universal relations are known to exist among various neutron star observables that do not depend sensitively on the underlying nuclear matter equations of state. For example, some of these relations imply that the tidally induced…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Takuya Katagiri , Gowtham Rishi Mukkamala , Kent Yagi

Under tidal forcing, icy satellites with subsurface oceans deform as if the surface were a membrane stretched around a fluid layer. `Membrane worlds' is thus a fitting name for these bodies and membrane theory provides the perfect toolbox…

Geophysics · Physics 2015-10-26 Mikael Beuthe

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

Tidal captures can produce objects that are observationally and dynamically important in dense stellar systems. Recent discoveries of compact young clusters in and out of the Galaxy have prompted the studies of dynamics of star clusters…

Astrophysics · Physics 2007-05-23 Sungsoo S. Kim , Hyung Mok Lee
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