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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

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

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

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

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

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

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

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 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

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

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

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

The deformation of a nonrotating body resulting from the application of a tidal field is measured by two sets of Love numbers associated with the gravitoelectric and gravitomagnetic pieces of the tidal field, respectively. The…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Philippe Landry , Eric Poisson

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

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

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 and tidal deformability of idealized stars with polytropic equations of state (EOSs) are numerically calculated under both Newtonian gravity and general relativity (GR). The results explicitly confirm that the relation…

General Relativity and Quantum Cosmology · Physics 2025-01-14 Rui Xu , Alejandro Torres-Orjuela , Lars Andersson , Pau Amaro Seoane

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

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
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