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The recent discovery of the universal I-Love-Q relations connecting the moment of inertia, tidal deformability, and the spin-induced quadrupole moment of compact stars is intriguing and totally unexpected. In this paper, we provide…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Y. -H. Sham , T. K. Chan , L. -M. Lin , P. T. Leung

Recently, general relations among the quadrupole moment (Q), the moment of inertia (I), and the tidal deformability (Love number) of a neutron star were shown to exist. They are nearly independent of the nuclear matter equation of state and…

Solar and Stellar Astrophysics · Physics 2014-06-27 Brynmor Haskell , Riccardo Ciolfi , Francesco Pannarale , 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

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

Neutron stars and quark stars are ideal laboratories to study fundamental physics at supra nuclear densities and strong gravitational fields. Astrophysical observables, however, depend strongly on the star's internal structure, which is…

General Relativity and Quantum Cosmology · Physics 2023-03-27 Kent Yagi , Nicolas Yunes

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

Neutron stars are expected to have a tight relation between their moment of inertia ($I$), tidal deformability ($\lambda$, which is related to the Love number), and rotational mass quadrupole moment ($Q$) that is nearly independent of the…

High Energy Astrophysical Phenomena · Physics 2021-01-13 Ernesto Benitez , Joseph Weller , Victor Guedes , Cecilia Chirenti , M. Coleman Miller

The I-Love-Q relations are approximate equation-of-state independent relations that connect the moment of inertia, the spin-induced quadrupole moment, and the tidal deformability of neutron stars. In this paper, we study the I-Love-Q…

High Energy Astrophysical Phenomena · Physics 2021-05-04 Cheung-Hei Yeung , Lap-Ming Lin , Nils Andersson , Greg Comer

The exterior gravitational field of a slowly-rotating neutron star can be characterized by its multipole moments, the first few being the neutron star mass, moment of inertia, and quadrupole moment to quadratic order in spin. In principle,…

General Relativity and Quantum Cosmology · Physics 2017-12-01 Kent Yagi , Nicolas Yunes

In spite of the diversity in the equations of state of nuclear matter, the recently discovered I-Love-Q relations [Yagi and Yunes, Science {\bf 341}, 365 (2013)], which relate the moment of inertia, tidal Love number (deformability) and the…

Solar and Stellar Astrophysics · Physics 2015-06-23 T. K. Chan , Atma P. O. Chan , P. T. Leung

Neutron stars are extremely relativistic objects which abound in our universe and yet are poorly understood, due to the high uncertainty on how matter behaves in the extreme conditions which prevail in the stellar core. It has recently been…

General Relativity and Quantum Cosmology · Physics 2013-07-30 Andrea Maselli , Vitor Cardoso , Valeria Ferrari , Leonardo Gualtieri , Paolo Pani

We construct models of slowly rotating, perfect-fluid neutron stars by extending the classical Hartle-Thorne formalism to generic scalar-tensor theories of gravity. Working at second order in the dimensionless angular momentum, we compute…

General Relativity and Quantum Cosmology · Physics 2014-07-15 Paolo Pani , Emanuele Berti

Neutron stars are ideal to probe, not only nuclear physics, but also strong-field gravity. Approximate universal relations insensitive to the star's internal structure exist among certain observables and are useful in testing General…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Toral Gupta , Barun Majumder , Kent Yagi , Nicolás Yunes

For neutron stars, there exist universal relations insensitive to the equation of states, the so called I-Love-Q relations, which show the connections among the moment of inertia, tidal Love number and quadrupole moment. In this paper, we…

High Energy Astrophysical Phenomena · Physics 2025-02-05 Jing-Yi Wu , Wei Li , Xin-Han Huang , Kilar Zhang

In recent years there has been a surge of interest in what has come to be known as the `universal relations' between various global properties of neutron stars. These universal relations are equation of state independent relations between…

General Relativity and Quantum Cosmology · Physics 2019-05-13 George Pappas , Daniela D. Doneva , Thomas P. Sotiriou , Stoytcho S. Yazadjiev , Kostas D. Kokkotas

We study how rapid rotation influences the relation between the normalized moment of inertia $\bar{I}$ and quadrupole moment $\bar{Q}$ for scalarized neutron stars. The questions one has to answer are whether the EOS universality is…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Daniela D. Doneva , Stoytcho S. Yazadjiev , Kalin V. Staykov , Kostas D. Kokkotas

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

Moment of inertia ($I$), rotational~(tidal) Love number ($\lambda^{\rm (rot)}$) and quadrupole moment ($Q$) of slowly rotating massive neutron star~(NS) with holographic multiquark~(MQ) core are computed in comparison to pure MQ star. The…

General Relativity and Quantum Cosmology · Physics 2022-05-25 Piyabut Burikham , Sitthichai Pinkanjanarod , Supakchai Ponglertsakul

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

Gravitational-wave observations of binary neutron star systems can shed light on the currently unknown dense matter equation of state. The equation of state determines a large number of neutron star properties, such as tidal deformability,…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Natalie Williams , Anna Puecher , Guilherme Grams , César V. Flores , Tim Dietrich
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