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Universal relations (i.e., insensitive to the equation of state) between macroscopic properties of neutron stars have proven useful for a variety of applications -- from providing a direct means to extract observables from data to breaking…

General Relativity and Quantum Cosmology · Physics 2022-08-30 Jayana A. Saes , Raissa F. P. Mendes

Recent observations of neutron stars (NS) with radio, X-rays and gravitational waves have begun to constrain the equation of state (EoS) for nuclear matter beyond the nuclear saturation density. To one's surprise, there exist approximate…

General Relativity and Quantum Cosmology · Physics 2020-09-28 Nan Jiang , Kent Yagi

Certain bulk properties of neutron stars, in particular their moment of inertia, rotational quadrupole moment and tidal Love number, when properly normalized, are related to one another in a nearly equation of state independent way. The…

General Relativity and Quantum Cosmology · Physics 2017-12-20 Hector O. Silva , Nicolas Yunes

At the supranuclear densities achieved inside a neutron star, matter may exhibit extreme properties. In particular, it may be the case that a suitable average of the speed of sound squared exceeds the so-called conformal limit, i.e.,…

General Relativity and Quantum Cosmology · Physics 2024-12-02 Raissa F. P. Mendes , Caroline F. Sodré , Felipe T. Falciano

Using more than a million randomly generated equations of state that satisfy theoretical and observational constraints we construct a novel, scale-independent description of the sound speed in neutron stars where the latter is expressed in…

General Relativity and Quantum Cosmology · Physics 2022-12-07 Christian Ecker , Luciano Rezzolla

The universal relations in neutron stars form an essential entity to understand their properties. The moment of inertia, dimensionless tidal deformability, mass quadrupole moment, and oscillation modes are some of the properties that have…

High Energy Astrophysical Phenomena · Physics 2025-08-13 Sagnik Chatterjee , Kamal Krishna Nath

Determining the sound speed $c_s$ in compact stars is an important open question with numerous implications on the behaviour of matter at large densities and hence on gravitational-wave emission from neutron stars. To this scope, we…

High Energy Astrophysical Phenomena · Physics 2022-12-07 Sinan Altiparmak , Christian Ecker , Luciano Rezzolla

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

The structure of the dense-matter equation of state is essential for the phenomenology of neutron stars. In this work, I relate the thermodynamic properties to the average speed of sound in the interior of a star. I study the consequences…

Nuclear Theory · Physics 2024-10-29 Michał Marczenko

Universal relations that are insensitive to the equation of state (EoS) are useful in reducing the parameter space when measuring global quantities of neutron stars (NSs). In this paper, we reveal a new universal relation that connects the…

High Energy Astrophysical Phenomena · Physics 2023-08-22 Yong Gao , Lijing Shao , Jan Steinhoff

The central speed of sound (SS) measures the stiffness of the Equation of State (EOS) of superdense neutron star (NS) matter. Its variations with density and radial coordinate in NSs in conventional analyses often suffer from uncertainties…

Nuclear Theory · Physics 2023-11-28 Bao-Jun Cai , Bao-An Li , Zhen Zhang

We calculate moment of inertia of neutron star with different exotic constituents such as hyperons and (anti)kaon condensates and study its variation with mass and spin frequency. The sets of equation of state, generated within the…

High Energy Astrophysical Phenomena · Physics 2017-06-14 S. S. Lenka , P. Char , S. Banik

The dense matter equation of state (EOS) determines neutron star (NS) structure but can be calculated reliably only up to one to two times the nuclear saturation density, using accurate many-body methods that employ nuclear interactions…

Nuclear Theory · Physics 2018-06-27 Ingo Tews , Joseph Carlson , Stefano Gandolfi , Sanjay Reddy

This study presents a universal relation for anisotropic neutron stars, called the $I-f-C$ relation, which accounts for the local anisotropic pressure using the Quasi-Local (QL) Model proposed by Horvat et al. \cite{QL_Model} to describe…

Nuclear Theory · Physics 2024-01-09 Sailesh Ranjan Mohanty , Sayantan Ghosh , Pinku Routaray , H. C. Das , Bharat Kumar

Certain relations among neutron-star observables that are insensitive to the equation of state are known to exist. Such universal relations have been shown to be valid for cold and stationary neutron stars. Here, we study these relations in…

High Energy Astrophysical Phenomena · Physics 2024-02-19 Victor Guedes , Shu Yan Lau , Cecilia Chirenti , Kent Yagi

In the last few decades, lots of universal relations between different global physical quantities of neutron stars have been proposed to constrain the unobservable or hard to be observed properties of neutron stars. But few of them are…

General Relativity and Quantum Cosmology · Physics 2020-08-10 Wenjie Sun , Dehua Wen , Jue Wang

We study oscillations and instabilities of relativistic stars using perturbation theory in general relativity and take into account the contribution of a dynamic spacetime. We present the oscillation spectrum as well as the critical values…

General Relativity and Quantum Cosmology · Physics 2020-09-16 C. J. Krüger , K. D. Kokkotas

Recently it was shown that slowly rotating neutron stars exhibit an interesting correlation between their moment of inertia $I$, their quadrupole moment $Q$, and their tidal deformation Love number $\lambda$ (the I-Love-Q relations),…

General Relativity and Quantum Cosmology · Physics 2014-03-31 George Pappas , Theocharis A. Apostolatos

One of the most common assumptions has been made that the pressure inside the star is isotropic in nature. However, the pressure is locally anisotropic in nature which is a more realistic case. In this study, we investigate certain…

General Relativity and Quantum Cosmology · Physics 2022-11-18 H. C. Das

As some of the most compact stellar objects in the universe, neutron stars are unique cosmic laboratories. The study of neutron stars provides an ideal theoretical testbed for investigating both physics at supra-nuclear densities as well as…

High Energy Astrophysical Phenomena · Physics 2023-05-29 Grigorios Papigkiotis , George Pappas
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