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Though individual stellar parameters of compact stars usually demonstrate obvious dependence on the equation of state (EOS), EOS-insensitive universal formulas relating these parameters remarkably exist. In the present paper, we explore the…

General Relativity and Quantum Cosmology · Physics 2015-06-22 T. K. Chan , Y. -H. Sham , P. T. Leung , L. -M. Lin

The relations between most observables associated with a compact star, such as the mass and radius of a neutron star or a quark star, typically depend strongly on their unknown internal structure. The I-Love-Q relations (between the moment…

General Relativity and Quantum Cosmology · Physics 2016-05-27 Kent Yagi , Nicolas Yunes

We develop a new framework of the deformed quasiparticle-random-phase approximation (QRPA) where the Skyrme density functional and the density-dependent pairing functional are consistently treated. Numerical applications are carried out for…

Nuclear Theory · Physics 2009-11-23 Kenichi Yoshida , Nguyen Van Giai

A number of hadronic equations of state for neutron stars have been investigated for the purpose of the present paper, considering the fact that at sufficiently high density, heavy baryons and quark phases may appear. The observational…

Nuclear Theory · Physics 2026-02-04 Sujan Kumar Roy , Gargi Chaudhuri

In the study of rotating neutron stars the $I$-Love-$Q$ relations refer to the existence of various approximate, equation of state-independent relations involving the moment of inertia, the Love number and the quadrupole moment. These…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Eneko Aranguren , José A. Font , Nicolas Sanchis-Gual , Raül Vera

We construct quasinormal modes for neutron stars in $R^2$ gravity in the Einstein frame, considering scalar masses in the sub-neV range. In particular, we investigate the fundamental quadrupole fluid f-modes and the dipole fluid F-modes.…

General Relativity and Quantum Cosmology · Physics 2022-08-04 J. L. Blázquez-Salcedo , L. M. González-Romero , F. S. Khoo , J. Kunz , V. Preut

We investigate how the quasi-universal relations connecting tidal deformability with gravitational waveform characteristics and/or properties of individual neutron stars that were proposed in the literature within general relativity would…

High Energy Astrophysical Phenomena · Physics 2024-10-02 Alan Tsz-Lok Lam , Yong Gao , Hao-Jui Kuan , Masaru Shibata , Karim Van Aelst , Kenta Kiuchi

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

The thermodynamic relation between pressure and density (i.e. the equation of state) of cold supranuclear matter is critical in describing neutron stars, yet it remains one of the largest uncertainties in nuclear physics. The extraction of…

General Relativity and Quantum Cosmology · Physics 2022-03-11 Zack Carson , Katerina Chatziioannou , Carl-Johan Haster , Kent Yagi , Nicolás Yunes

The universal relationships for compact stars have been investigated employing perturbative approach using canonical (APR) and Brussels-Montreal Skyrme (BSk22, BSk24, BSk26) equations of state describing hadronic matter of neutron stars.…

Nuclear Theory · Physics 2024-08-02 Debasis Atta , Vinay Singh , D. N. Basu

The emergence of the I-Love-Q relations, revealing that the moment of inertia, the tidal Love number (deformability) and the spin-induced quadrupole moment of compact stars are, to high accuracy, interconnected in a universal way…

General Relativity and Quantum Cosmology · Physics 2016-01-27 T. K. Chan , AtMa P. O. Chan , P. T. Leung

We propose a new equation of state for nuclear matter based on a generalized Skyrme model which is consistent with all current constraints on the observed properties of neutron stars. This generalized model depends only on two free…

No-hair like relations between the multipole moments of the exterior gravitational field of neutron stars have recently been found to be approximately independent of the star's internal structure. This approximate, equation-of-state…

General Relativity and Quantum Cosmology · Physics 2015-08-06 Barun Majumder , Kent Yagi , Nicolas Yunes

Universal relations independently of the equation of state (EOS) for neutron star matter are valuable, if they exist, for extracting the neutron star properties, which generally depend on the EOS. In this study, we newly derive the…

General Relativity and Quantum Cosmology · Physics 2021-11-24 Hajime Sotani , Bharat Kumar

Binary neutron star mergers are studied using nonlinear 3+1 numerical relativity simulations and the analytical effective-one-body (EOB) model. The EOB model predicts quasiuniversal relations between the mass-rescaled gravitational wave…

General Relativity and Quantum Cosmology · Physics 2015-04-15 Sebastiano Bernuzzi , Alessandro Nagar , Simone Balmelli , Tim Dietrich , Maximiliano Ujevic

Relations between neutron star properties that do not depend on the nuclear equation of state offer insights on neutron star physics and have practical applications in data analysis. Such relations are obtained by fitting to a range of…

High Energy Astrophysical Phenomena · Physics 2024-02-13 Isaac Legred , Bubakar O. Sy-Garcia , Katerina Chatziioannou , Reed Essick

Interacting quark stars, which are entirely composed of interacting quark matter including perturbative QCD corrections and color superconductivity, can meet constraints from various pulsar observations. In realistic scenarios, pressure…

Nuclear Theory · Physics 2024-10-11 Juan M. Z. Pretel , Chen Zhang

The accurate observations of neutron stars have deepened our knowledge of both general relativity and the properties of nuclear physics at large densities. Relating observations to the microphysics that govern these stars can sometimes be…

General Relativity and Quantum Cosmology · Physics 2024-07-09 Jayana A. Saes , Raissa F. P. Mendes , Nicolás Yunes

Despite the large uncertainties in the equation of state for neutron stars (NSs), a tight universal ``Love-Q'' relation exists between their dimensionless tidal deformability, $\Lambda$, and the dimensionless quadrupole moment, $Q$.…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Zhihao Zheng , Ziming Wang , Jinwen Deng , Yiming Dong , Lijing Shao

Recent studies of the analytical and numerical models of neutron stars suggest that their exterior field can be described by only four arbitrary parameters of the 2-soliton solution of Einstein's equations. Assuming that this is the case,…

General Relativity and Quantum Cosmology · Physics 2017-03-20 V. S. Manko , E. Ruiz