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The stability of toroidal magnetic fields in rotating radiative stellar zones is studied for realistic values of both the Prandtl numbers. The two considered models for the magnetic geometry represent fields with odd and even symmetry with…

Solar and Stellar Astrophysics · Physics 2015-05-13 G. Ruediger , L. L. Kitchatinov

The Nordstr\"om-Vlasov system is a relativistic Lorentz invariant generalization of the Vlasov-Poisson system in the gravitational case. The asymptotic behavior of solutions and the non-linear stability of steady states are investigated. It…

Mathematical Physics · Physics 2009-11-13 Simone Calogero , Oscar Sanchez , Juan Soler

This paper investigates how a self bound equation of state (EOS), which describes strange quark stars, affects the rotational properties of compact stars, focusing on deviations from universal relations governing gravitational mass and…

High Energy Astrophysical Phenomena · Physics 2025-12-16 Andreas Konstantinou

This paper investigates the existence and properties of stable, uniformly rotating star-planet systems, i.e. mass ratio is sufficiently small. It is modeled by the Euler-Poisson equations. Following the framework established by McCann for…

Analysis of PDEs · Mathematics 2026-04-22 Hangsheng Chen

We study relativistic stars in the simplest model of the de Rham-Gabadadze-Tolley massive gravity which describes the massive graviton without ghost propagating mode. We consider the hydrostatic equilibrium, and obtain the modified…

General Relativity and Quantum Cosmology · Physics 2016-06-15 Taishi Katsuragawa , Shin'ichi Nojiri , Sergei D. Odintsov , Masashi Yamazaki

We study low-amplitude crustal oscillations of slowly rotating relativistic stars consisting of a central fluid core and an outer thin solid crust. We estimate the effect of rotation on the torsional toroidal modes and on the interfacial…

General Relativity and Quantum Cosmology · Physics 2009-11-13 M. Vavoulidis , K. D. Kokkotas , A. Stavridis

Planetesimal formation is one of the most important unsolved problems in planet formation theory. In particular, rocky planetesimal formation is difficult because silicate dust grains are easily broken when they collide. Recently, it has…

Earth and Planetary Astrophysics · Physics 2018-03-21 Misako Tatsuuma , Shugo Michikoshi , Eiichiro Kokubo

We study the magnetosphere of a slowly rotating magnetized neutron star subject to toroidal oscillations in the relativistic regime. Under the assumption of a zero inclination angle between the magnetic moment and the angular momentum of…

High Energy Astrophysical Phenomena · Physics 2015-05-18 V. S. Morozova , B. J. Ahmedov , O. Zanotti

This paper investigates the viability and stability of anisotropic compact stars in the framework of $f(\mathcal{R},\mathrm{T}^{2})$ theory ($\mathcal{R}$ is the Ricci scalar and…

General Relativity and Quantum Cosmology · Physics 2023-05-31 M. Sharif , Sana Manzoor

We study rapidly spinning compact stars with equations of state featuring a first order phase transition between strongly coupled nuclear matter and deconfined quark matter by employing the gauge/gravity duality. We consider a family of…

High Energy Astrophysical Phenomena · Physics 2021-02-10 Tuna Demircik , Christian Ecker , Matti Järvinen

Rastall's theory is a modification of General Relativity, based on the non-conservation of the stress-energy tensor. The latter is encoded in a parameter $\gamma$ such that $\gamma = 1$ restores the usual $\nabla_\nu T^{\mu\nu} = 0$ law. We…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-18 C. E. M. Batista , J. C. Fabris , O. F. Piattella , A. M. Velasquez-Toribio

We study secular stability against a quasi-radial oscillation for rigidly rotating stars with soft equations of state in general relativity. The polytropic equations of state with polytropic index $n$ between 3 and 3.05 are adopted for…

Astrophysics · Physics 2009-11-10 Masaru Shibata

We study non-axisymmetric oscillations of rapidly and differentially rotating relativistic stars in the Cowling approximation. Our equilibrium models are sequences of relativistic polytropes, where the differential rotation is described by…

Solar and Stellar Astrophysics · Physics 2010-04-22 Christian Krüger , Erich Gaertig , Kostas D. Kokkotas

In this work we study some aspects of the Rastall gravity, being the thermodynamics consistency of the model the core of this paper, for this purpose we will consider the dynamical equations of Rastall model in a flat FLRW geometry. Under a…

General Relativity and Quantum Cosmology · Physics 2019-10-22 Miguel Cruz , Samuel Lepe , Gerardo Morales-Navarrete

We study tidal dissipation in stars with masses in the range $0.1-1.6 M_\odot$ throughout their evolution, including turbulent effective viscosity acting on equilibrium tides and inertial waves in convection zones, and internal gravity…

Earth and Planetary Astrophysics · Physics 2020-09-09 Adrian J. Barker

I derive a system of pulsation equations for compact stars made up of an arbitrary number of perfect fluids that can be used to study radial oscillations and stability with respect to small perturbations. I assume spherical symmetry and…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Ben Kain

We derive a new interior solution for stellar compact objects in $f\mathcal{(R)}$ gravity assuming a differential relation to constrain the Ricci curvature scalar. To this aim, we consider specific forms for the radial component of the…

General Relativity and Quantum Cosmology · Physics 2021-06-03 G. G. L. Nashed , S. Capozziello

We study adiabatic, radial perturbations of static, self-gravitating perfect fluids within the theory of general relativity employing a new perturbative formalism. We show that by considering a radially static observer, the description of…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Paulo Luz , Sante Carloni

We carry out 3-D numerical simulations of the dynamical instability in rapidly rotating stars initially modeled as polytropes with n = 1.5, 1.0, and 0.5. The calculations are done with a SPH code using Newtonian gravity, and the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Janet L. Houser , Joan M. Centrella

We investigate the radial stability of neutron stars under conditions where their composition may or may not remain in chemical equilibrium during oscillations. Using different equations of state that include nucleons, hyperons, and/or…

High Energy Astrophysical Phenomena · Physics 2024-12-31 Martin O. Canullan-Pascual , German Lugones , Milva G. Orsaria , Ignacio F. Ranea-Sandoval
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