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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

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

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 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

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

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

We study the tidal deformability of bare quark stars and hybrid compact stars composed of a quark matter core in general relativity, assuming that the deconfined quark matter exists in a crystalline color superconducting phase. We find that…

High Energy Astrophysical Phenomena · Physics 2017-06-07 S. Y. Lau , P. T. Leung , L. -M. Lin

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 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

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

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

We calculate neutron star's moment of inertia and deformabilities using various microscopic equations of state for nuclear and hybrid star configurations. Correlations between the various observables are examined and we confirm several…

High Energy Astrophysical Phenomena · Physics 2019-01-28 J. -B. Wei , A. Figura , G. F. Burgio , H. Chen , H. -J. Schulze

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

Gravitational waves from compact binary coalescences are valuable for testing theories of gravity in the strong field regime. By measuring neutron star tidal deformability using gravitational waves from binary neutron stars, stringent…

General Relativity and Quantum Cosmology · Physics 2024-08-21 Stephanie M. Brown

We investigate the moment of inertia, quadrupole deformation, and tidal deformation within the framework of nonlocal gravity, utilizing the exact modified Tolman-VII (NEMTVII) density model with an isotropic perfect fluid. The Love…

General Relativity and Quantum Cosmology · Physics 2025-09-01 Byon N. Jayawiguna , Piyabut Burikham

Gravitational-wave observations in the near future may allow us to measure tidal deformabilities of neutron stars, which leads us to the understanding of physics at nuclear density. In principle, the gravitational waveform depends on…

General Relativity and Quantum Cosmology · Physics 2018-06-06 Kent Yagi

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 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
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