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Related papers: I-Love-Q Relations for Neutron Stars in dynamical …

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Neutron stars and quark stars are not only characterized by their mass and radius, but also by how fast they spin, through their moment of inertia, and how much they can be deformed, through their Love number and quadrupole moment. These…

General Relativity and Quantum Cosmology · Physics 2013-11-19 Kent Yagi , Nicolas Yunes

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

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

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

A set of hadronic equations of state derived from covariant density functional theory and constrained by terrestrial experiments, and astrophysical observations, in particular by the NICER experiment inferences is used to explore the…

Nuclear Theory · Physics 2023-08-22 Jia Jie Li , Armen Sedrakian , Fridolin Weber

The influence of a dark energy fluid on the equation of state of neutron stars is investigated. A detailed analysis is conducted for such models, including the computation of the moment of inertia, the quadrupole moment, and the tidal Love…

General Relativity and Quantum Cosmology · Physics 2025-06-04 Simone D'Onofrio

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

In relativistic Astrophysics the $I$-Love-$Q$ relations refer to approximately EoS-independent relations involving the moment of inertia, Love number, and quadrupole moment through some quantities that are normalised by the mass $M_0$ of…

General Relativity and Quantum Cosmology · Physics 2025-12-11 Eneko Aranguren , José A. Font , Nicolas Sanchis-Gual , Raül Vera

In the present paper we study the behavior of the normalized $I$-$Q$ relation for neutron stars in a particular class of $f(R)$ theories of gravity, namely the $R^2$ gravity that is one of the most natural and simplest extensions of general…

General Relativity and Quantum Cosmology · Physics 2015-09-16 Daniela D. Doneva , Stoytcho S. Yazadjiev , Kostas D. Kokkotas

Neutron stars are sensitive laboratories for testing general relativity, especially when considering deviations where velocities are relativistic and gravitational fields are strong. One such deviation is described by dynamical,…

General Relativity and Quantum Cosmology · Physics 2010-05-28 Nicolas Yunes , Dimitrios Psaltis , Feryal Ozel , Abraham Loeb

We consider a universal relation between moment of inertia and quadrupole moment of arbitrarily fast rotating neutron stars. Recent studies suggest that this relation breaks down for fast rotation. We find that it is still universal among…

General Relativity and Quantum Cosmology · Physics 2014-06-30 Sayan Chakrabarti , Térence Delsate , Norman Gürlebeck , Jan Steinhoff

It was shown recently, that normalized relations between the moment of inertia (I), the quadrupole moment (Q) and the tidal deformability (Love number) exist and for slowly-rotating neutron stars they are almost independent of the equation…

General Relativity and Quantum Cosmology · Physics 2014-02-25 Daniela D. Doneva , Stoytcho S. Yazadjiev , Nikolaos Stergioulas , Kostas D. Kokkotas

The moment of inertia, the spin-induced quadrupole moment, and the tidal Love number of neutron-star and quark-star models are related through some relations which depend only mildly on the stellar equation of state. These "I-Love-Q"…

General Relativity and Quantum Cosmology · Physics 2016-09-14 Nami Uchikata , Shijun Yoshida , 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

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

The so-called $I$-Love-$Q$ relations link some normalized versions of the moment of inertia, the Love number, and the quadrupole moment of a star. These relations, in principle, enable the inference of two of the quantities given the third.…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Eneko Aranguren

First proposed in 2013 by Yagi and Yunes, the quasi-universal \emph{I-Love-Q relations} consist of a set of relations between the moment of inertia, the spin-induced quadrupole moment and the electric quadrupolar tidal deformability of…

High Energy Physics - Theory · Physics 2021-01-27 Christoph Adam , Alberto García Martín-Caro , Miguel Huidobro , Ricardo Vázquez , Andrzej Wereszczynski

Neutron stars (NSs) are excellent laboratories for testing gravity theories as they are strongly self-gravitating bodies and have rich observational phenomena. However, strong-field gravity effects in NS could be degenerate with their…

General Relativity and Quantum Cosmology · Physics 2026-02-25 Zexin Hu , Yong Gao , Lijing Shao

Due to our ignorance of the equation of state (EOS) beyond nuclear density, there is still no unique theoretical model for neutron stars (NSs). It is therefore surprising that universal EOS-independent relations connecting different…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Y. -H. Sham , L. -M. Lin , P. T. Leung

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