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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

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 masses and radii of strongly magnetized anisotropic deformed white dwarf stars are investigated using the stellar structure equations in the parameterized $\gamma$-metric formalism. The Equation of State (EoS) of a completely degenerate…

Solar and Stellar Astrophysics · Physics 2024-02-06 Rajasmita Sahoo , Tambe Pranjal Anant , Somnath Mukhopadhyay

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

A number of hadronic equations of state for neutron stars have been investigated for the purpose of the present paper, considering the fact that at sufficiently high density, heavy baryons and quark phases may appear. The observational…

Nuclear Theory · Physics 2026-02-04 Sujan Kumar Roy , Gargi Chaudhuri

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

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

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

The properties of uniformly rotating white dwarfs (RWDs) are analyzed within the framework of general relativity. Hartle's formalism is applied to construct the internal and external solutions to the Einstein equations. The WD matter is…

Solar and Stellar Astrophysics · Physics 2015-03-20 Kuantay Boshkayev , Jorge A. Rueda , Remo Ruffini , Ivan Siutsou

In recent years a number of white dwarfs has been observed with very high surface magnetic fields. We can expect that the magnetic field in the core of these stars would be much higher (~ 10^{14} G). In this paper, we analytically study the…

Solar and Stellar Astrophysics · Physics 2012-05-09 Aritra Kundu , Banibrata Mukhopadhyay

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 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

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

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

We explore the luminosity L of magnetized white dwarfs and its effect on the mass-radius relation. We self-consistently obtain the interface between the electron degenerate gas dominated inner core and the outer ideal gas surface layer or…

Solar and Stellar Astrophysics · Physics 2020-06-19 Abhay Gupta , Banibrata Mukhopadhyay , Christopher A. Tout

We have recently developed a neutron star model fulfilling global and not local charge neutrality, both in the static and in the uniformly rotating cases. The model is described by the coupled Einstein-Maxwell-Thomas- Fermi (EMTF)…

Solar and Stellar Astrophysics · Physics 2015-06-23 Riccardo Belvedere , Jorge Armando Rueda , Remo Ruffini

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

The relativistic Feynman-Metropolis-Teller treatment of compressed atoms is extended to treat magnetized matter. Each atomic configuration is confined by a Wigner-Seitz cell and is characterized by a positive electron Fermi energy which…

Nuclear Theory · Physics 2019-09-19 Sujan Kumar Roy , Somnath Mukhopadhyay , Joydev Lahiri , D. N. Basu

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 consider a relativistic, degenerate electron gas at zero-temperature under the influence of a strong, uniform, static magnetic field, neglecting any form of interactions. Since the density of states for the electrons changes due to the…

High Energy Astrophysical Phenomena · Physics 2012-08-08 Upasana Das , Banibrata Mukhopadhyay