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We review the quest of modeling rapidly rotating stars during the past 40 years and detail the challenges to be taken up by models facing new data from interferometry, seismology, spectroscopy... We then present the progress of the ESTER…

Astrophysics · Physics 2007-05-23 M. Rieutord

We have shown that, as in the case of black holes, an ergosphere itself with no event horizon inside can evaporate spontaneously, giving energy radiation to spatial infinity until the ergoregion disappears. However, the feature of his…

General Relativity and Quantum Cosmology · Physics 2016-11-03 Gungwon Kang

A generalized analysis of the local entropy production of a simple fluid is used to show that, if intrinsic angular momentum is taken into account, rotational viscosity must arise in the linear non-equilibrium regime. As a consequence, the…

Astrophysics · Physics 2015-06-24 Alfredo Sandoval-Villalbazo , Ana Garcia-Perciante , LS Garcia-Colin

We study static, spherically symmetric neutron stars in a class of scalar-tensor theories with non-canonical kinetic terms (K-essence) obeying all causality and hyperbolicity conditions. These models have non-trivial dynamics that lead to a…

General Relativity and Quantum Cosmology · Physics 2025-09-12 Mark P. Hertzberg , Oleksandr S. Stashko

We consider the evolution in full general relativity of a family of linearly unstable isolated spherical neutron stars under the effects of very small, perturbations as induced by the truncation error. Using a simple ideal-fluid equation of…

General Relativity and Quantum Cosmology · Physics 2011-07-18 David Radice , Luciano Rezzolla , Thorsten Kellermann

The thermodynamical properties of the equation of state (EoS) of high-density matter (above nuclear saturation density) and the possible existence of exotic states such as phase transitions from nuclear/hadronic matter into quark-gluon…

High Energy Astrophysical Phenomena · Physics 2019-01-28 M. A. Aloy , J. M. Ibáñez , N. Sanchis-Gual , M. Obergaulinger , J. A. Font , S. Serna , A. Marquina

This is the fourth paper in a series that attempt to put forward a consistent framework for modelling solid regions in neutron stars. Here we turn our attention to axial perturbations of spherically symmetric spacetimes using a gauge…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Max Karlovini , Lars Samuelsson

We study nonaxisymmetric perturbations of rotating relativistic stars. modeled as perfect-fluid equilibria. Instability to a mode with angular dependence $\exp(im\phi)$ sets in when the frequency of the mode vanishes. The locations of these…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Nikolaos Stergioulas , John L. Friedman

The stability properties of the Einstein Static solution of General Relativity are altered when corrective terms arising from modification of the underlying gravitational theory appear in the cosmological equations. In this paper the…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Rosangela Canonico , Luca Parisi

In this work we analyze hydrostatic equilibrium configurations of neutron stars in a non-minimal geometry-matter coupling (GMC) theory of gravity. We begin with the derivation of the hydrostatic equilibrium equations for the $f(R,L) $…

General Relativity and Quantum Cosmology · Physics 2020-05-14 G. A. Carvalho , P. H. R. S. Moraes , S. I. dos Santos , B. S. Gonçalves , M. Malheiro

A general formula of the symmetry energy for many-body interaction is proposed and the commonly used two-body interaction symmetry energy is recovered. Within Landau's theory (Lt), we generalize two equations of state (EoS) CCS$\delta$3 and…

Nuclear Theory · Physics 2015-07-03 H. Zheng , J. Sahagun , A. Bonasera

We give a comprehensive analysis of the dynamic and thermodynamic stability of neutron stars composed of superconducting-superfluid mixtures within the Iyer-Wald formalism. We derive the first law of thermodynamics and the necessary and…

General Relativity and Quantum Cosmology · Physics 2026-01-09 Delong Kong , Yu Tian , Hongbao Zhang

Quasi-equilibrium sequences of binary neutron stars are constructed for a variety of equations of state in general relativity. Einstein's constraint equations in the Isenberg-Wilson-Mathews approximation are solved together with the…

Solar and Stellar Astrophysics · Physics 2015-05-18 Keisuke Taniguchi , Masaru Shibata

We review here the classical argument used to justify the electrical neutrality of stars and show that if the pressure and density of the matter and gravitational field inside the star are large, then a charge and a strong electric field…

Nuclear Theory · Physics 2016-11-09 Subharthi Ray , Manuel Malheiro , Jose' P. S. Lemos , Vilson T. Zanchin

Buoyancy-restored modes inside neutron stars depend sensitively on both the microphysical (e.g., composition and entropy gradients) and macrophysical (e.g., stellar mass and radius) properties of the star. Asteroseismology efforts for…

General Relativity and Quantum Cosmology · Physics 2023-04-17 Hao-Jui Kuan , Christian J. Krüger , Arthur G. Suvorov , Kostas D. Kokkotas

Within the framework of Einstein-Gauss-Bonnet theory in five-dimensional spacetime ($5D$ EGB), we derive the hydrostatic equilibrium equations and solve them numerically to obtain neutron stars for both isotropic and anisotropic…

General Relativity and Quantum Cosmology · Physics 2024-10-15 Juan M. Z. Pretel , Ayan Banerjee , Anirudh Pradhan

A full-relativistic approach is used to compute the radius of the innermost stable circular orbit (ISCO), the Keplerian, frame-dragging, precession and oscillation frequencies of the radial and vertical motions of neutral test particles…

Solar and Stellar Astrophysics · Physics 2014-01-14 Andres F. Gutierrez-Ruiz , Cesar A. Valenzuela-Toledo , Leonardo A. Pachon

This study investigates the modeling of anisotropic magnetized static neutron stars within the framework of five-dimensional Einstein-Gauss-Bonnet (5D EGB) gravity. While Einstein's gravity has traditionally been employed to examine neutron…

General Relativity and Quantum Cosmology · Physics 2025-08-21 Mohammad Mazhari

Dynamical instability is shown to occur in differentially rotating polytropes with N = 3.33 and $T/|W| \gtrsim 0.14$. This instability has a strong m=1 mode, although the m=2, 3, and 4 modes also appear. Such instability may allow a…

Astrophysics · Physics 2009-10-31 Joan M. Centrella , Kimberly C. B. New , Lisa L. Lowe , J. David Brown

The Einstein static (ES) state is a good candidate for describing the very early universe in terms of a regular cosmological model in which the Big Bang singularity is avoided. In the present study we propose an ES solution in the framework…

General Relativity and Quantum Cosmology · Physics 2022-08-18 Hamid Shabani , Amir Hadi Ziaie , Hooman Moradpour