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The equations describing the adiabatic, small radial oscillations of general relativistic stars are generalized to include the effects of a cosmological constant. The generalized eigenvalue equation for the normal modes is used to study the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. G. Boehmer , T. Harko

The excitation of the axial quasi-normal modes of a relativistic star by scattered particles is studied by evolving the time dependent perturbation equations. This work is the first step towards the understanding of more complicated…

General Relativity and Quantum Cosmology · Physics 2009-10-31 V. Ferrari , K. D. Kokkotas

Context: The observations of rapidly rotating stars are increasingly detailed and precise thanks to interferometry and asteroseismology; two-dimensional models taking into account the hydrodynamics of these stars are very much needed. Aims:…

Astrophysics · Physics 2009-11-11 Michel Rieutord

We consider perfect fluid bodies (stars) in general relativity, characterized by particle number density and entropy per particle. A star is said to be in dynamic equilibrium if it is a stationary, axisymmetric solution to the…

General Relativity and Quantum Cosmology · Physics 2014-01-22 Stephen R. Green , Joshua S. Schiffrin , Robert M. Wald

The understanding of the evolution of early-type stars is tightly related to that of the effects of rapid rotation. For massive stars, rapid rotation combines with their strong radiation-driven wind. The aim of this paper is to investigate…

Solar and Stellar Astrophysics · Physics 2019-05-22 D. Gagnier , M. Rieutord , C. Charbonnel , G. Putigny , F. Espinosa Lara

We study the stability of non-relativistic polytropic stars within two modified gravity theories i.e., Beyond Horndeski gravity and Eddington inspired Born Infeld theories using the configuration entropy method. We use spatially localized…

General Relativity and Quantum Cosmology · Physics 2017-12-21 C. Wibisono , A. Sulaksono

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

Compactness of some stars is explained if they are strange stars (SS) as shown by Dey et al. (1998) (D98) and Li et al. (1999a). One of these compact star candidates is the SAX J1808.4-3658 (SAX in short) believed to be an important link in…

Astrophysics · Physics 2011-05-23 S. Ray , J. Dey , M. Dey , K. Ray , B. C. Samanta

Stability of supermassive stars embedded in hot dark matter is investigated on the base of the energetic method. Stability effect of dark mater is compared with rotational stabilization and preference of the last factor is advocated.

Astrophysics · Physics 2009-10-30 G. S. Bisnovatyi-Kogan

The equations describing nonradial adiabatic oscillations of differentially rotating relativistic stars are derived in relativistic slow rotation approximation. The differentially rotating configuration is described by a perturbative…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Adamantios Stavridis , Andrea Passamonti , Kostas Kokkotas

We investigate equilibrium configurations of uniformly rotating neutron stars in $R^2$ gravity with axion scalar field for GM1 equation of state (EoS) for nuclear matter. The mass-radius diagram, mass-central energy density are presented…

General Relativity and Quantum Cosmology · Physics 2020-09-09 Artyom V. Astashenok , Sergey D. Odintsov

A rapidly rotating, axisymmetric star can be dynamically unstable to an m=2 "bar" mode that transforms the star from a disk shape to an elongated bar. The fate of such a bar-shaped star is uncertain. Some previous numerical studies indicate…

General Relativity and Quantum Cosmology · Physics 2010-11-19 David Brown

In this article we show that the, mainly spacetime, w-modes may become unstable in a rotating ultracompact ($R<3M$) relativistic star. We provide results for the axial modes of a rotating star in the slow rotation approximation, and…

Astrophysics · Physics 2009-11-07 K. D. Kokkotas , J. Ruoff , N. Andersson

This paper gives a condensed review of the history of solutions to the Euler-Poisson equations modeling equilibrium states of rotating stars and galaxies, leading to a recent result of Walter Strauss and the author. This result constructs a…

Analysis of PDEs · Mathematics 2023-06-21 Yilun Wu

We estimate the rotation speed of Population III (Pop III) stars within a minihalo at z ~ 20 using a smoothed particle hydrodynamics (SPH) simulation, beginning from cosmological initial conditions. We follow the evolution of the primordial…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Athena Stacy , Volker Bromm , Abraham Loeb

The slow rotation of some young stars and the extreme rotation periods of some Ap stars have so far defied explanation. The absence of sufficiently efficient braking mechanisms for newly formed stars points to the star formation process…

Solar and Stellar Astrophysics · Physics 2018-10-23 H. C. Spruit

The selective light absorption in space has been raised in astronomical literature. The substance producing the absorption must have some mass; thus the question is how large it is. We develop a dynamical model of the Milky Way system,…

Astrophysics of Galaxies · Physics 2022-03-29 E. Öpik

The linear theory for rotating compressible convection in a plane layer geometry is presented for the astrophysically-relevant case of low Prandtl number gases. When the rotation rate of the system is large, the flow remains geostrophically…

Geophysics · Physics 2015-03-02 Michael A. Calkins , Keith Julien , Philippe Marti

We consider a system of partial differential equations which describes steady flow of a compressible heat conducting chemically reacting gaseous mixture. We extend the result from Giovangigli, Pokorn\'y, Zatorska (2015) in the sense that we…

Analysis of PDEs · Mathematics 2016-12-19 Tomasz Piasecki , Milan Pokorny

Using numerical simulations based on solving the general relativistic hydrodynamic equations, we study the dynamics of a phase transition in the dense core of isolated rotating neutron stars, triggered by the back bending instability…

Solar and Stellar Astrophysics · Physics 2015-05-13 Harald Dimmelmeier , Michal Bejger , Pawel Haensel , J. Leszek Zdunik