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Radial mode stability is a necessary condition for the astrophysical viability of compact objects. In recent years, astrophysical models with two fluids have gain popularity, especially in their ability to model dark matter admixed neutron…

General Relativity and Quantum Cosmology · Physics 2024-12-09 Daniel A. Caballero , Justin L. Ripley , Nicolás Yunes

Concerning the stability of two-fluid star models, we prove the rigorous equivalence of two independent determining methods for mixed stars, after a brief review of the hybrid star case. Our derivations apply to general multi-fluid cases,…

High Energy Astrophysical Phenomena · Physics 2025-12-02 Xiao-Ding Zhou , Tian-Shun Chen , Si-Man Wu , Kilar Zhang

We perform a detailed analysis of radial oscillations to discuss dynamical stability in two-fluid neutron stars composed of ordinary nuclear matter and a gravitationally coupled dark matter component. Using a fully relativistic two-fluid…

High Energy Astrophysical Phenomena · Physics 2025-09-05 Ankit Kumar , Hajime Sotani

We develop a general formalism to treat, in general relativity, the nonradial oscillations of a superfluid neutron star about static (non-rotating) configurations. The matter content of these stars can, as a first approximation, be…

General Relativity and Quantum Cosmology · Physics 2009-11-07 N. Andersson , G. L. Comer , D. Langlois

The dynamical stability of differentially rotating neutron stars, including hypermassive neutron stars, is of paramount importance in understanding the fate of the post-merger remnant of binary neutron stars mergers and the formation of a…

High Energy Astrophysical Phenomena · Physics 2025-07-09 Paweł Szewczyk , Dorota Gondek-Rosińska , Pablo Cerdá-Durán

We develop the formalism for determining the quasinormal modes of general relativistic multi-fluid compact stars in such a way that the impact of superfluid gap data can be assessed. Our results represent the first attempt to study true…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Lap-Ming Lin , N. Andersson , G. L. Comer

We have previously introduced the parameter `alpha' as an indicator of stability to m=2 nonaxisymmetric modes in rotating, self-gravitating, axisymmetric, gaseous and stellar systems. This parameter can be written as a function of the total…

Astrophysics · Physics 2016-08-30 D. M. Christodoulou , I. Shlosman , J. E. Tohline

Non-radial oscillations of neutron stars provide a powerful probe of stellar structure and relativistic gravity, but a fully general relativistic treatment for gravitationally coupled two-fluid stars with independently conserved currents…

General Relativity and Quantum Cosmology · Physics 2026-05-06 Ankit Kumar , Daniel A. Caballero , Hajime Sotani , Nicolás Yunes

Radial stability of the continuous pressure gravastar is studied using the conventional Chandrasekhar method. The equation of state for the static gravastar solutions is derived and Einstein equations for small perturbations around the…

General Relativity and Quantum Cosmology · Physics 2012-09-26 Dubravko Horvat , Sasa Ilijic , Anja Marunovic

Within the context of Rastall gravity, we investigate the hydrostatic equilibrium and dynamical stability against radial pulsations of compact stars, where a free parameter $\beta$ measures the deviations from General Relativity (GR). We…

General Relativity and Quantum Cosmology · Physics 2024-07-01 Juan M. Z. Pretel , Clésio E. Mota

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

Using the fluid-magnetofluid formalism, we obtain axisymmetric stability criteria for a composite disc system consisting of stellar and gaseous magnetized singular isothermal discs (MSIDs). Lou & Zou recently constructed exact global…

Astrophysics · Physics 2009-11-13 Yu-Qing Lou , Yue Zou

This paper is an investigation of the stability of some ideal stars. It is in- tended as a study in General Relativity, with emphasis on the coupling to matter, eventually aimed at a better understanding of very strong gravitational fields…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christian Fronsdal

We consider a thermodynamically consistent approach for the computation of the masses, radii, and tidal deformabilities of compact stars consisting of two interacting fluids with separately conserved quantum numbers. We apply this…

High Energy Physics - Phenomenology · Physics 2026-02-25 Fazlollah Hajkarim , Jürgen Schaffner-Bielich , Laura Tolos

The stability of a dilute plasma to local convective and rotational disturbances is examined. A subthermal magnetic field and finite thermal conductivity along the field lines are included in the analysis. Stability criteria similar in form…

Astrophysics · Physics 2009-11-06 Steven A. Balbus

I report on recent work concerning the existence and stability of self-gravitating spheres with anisotropic pressure. After presenting new exact solutions, Chandrasekhar's variational formalism for radial perturbations is generalized to…

Astrophysics · Physics 2009-11-10 Krsna Dev , Marcelo Gleiser

We complete the stability study of general relativistic spherically symmetric polytropic perfect fluid spheres, concentrating attention to the newly discovered polytropes containing region of trapped null geodesics. We compare the methods…

General Relativity and Quantum Cosmology · Physics 2020-05-14 Jan Hladík , Camilo Posada , Zdeněk Stuchlík

We analyze previous results on the stability of uniformly and differentially rotating, self-gravitating, gaseous and stellar, axisymmetric systems to derive a new stability criterion for the appearance of toroidal, m=2 Intermediate (I) and…

Astrophysics · Physics 2007-09-24 D. M. Christodoulou , I. Shlosman , J. E. Tohline

Under the hydrodynamic equilibrium Buchdahl's conditions on the behavior of the density and the pressure, for regular fluid static circularly symmetric star in (2 + 1) dimensions in the presence of a cosmological constant, is established…

General Relativity and Quantum Cosmology · Physics 2014-12-19 Alberto A. Garcia Diaz

In [Leung et al., Phys. Rev. D 84, 107301 (2011)], we presented our results on using a general relativistic two-fluid formalism to study the hydrostatic equilibrium configuration of an admixture of degenerate dark matter and normal nuclear…

Cosmology and Nongalactic Astrophysics · Physics 2012-06-04 S. -C. Leung , M. -C. Chu , L. -M. Lin
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