The stability of a shearing viscous star with an electromagnetic field

2013/05/01 by M. Sharif, M. Azam, M. Azama · 22 citations
Earth and Planetary Sciences · Physics and Astronomy · #Circular symmetry #Classical mechanics #Cosmology and Gravitation Theories #Electromagnetic field #Geophysics and Gravity Measurements #Instability #Mechanics #Newtonian fluid #Perturbation (astronomy) #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Shearing (physics) #Thermodynamics #gr-qc

paper · pdf · doi:10.1088/1674-1056/22/5/050401

published in Chinese Physics B 22(5), 050401 (IOP Publishing) · 18 pages, no figure

openalex publication_date 2013/05/01 · arxiv created 2013/12/04 · arxiv updated 2015/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We analyze the role of the electromagnetic field for the stability of a shearing viscous star with spherical symmetry. Matching conditions are given for the interior and the exterior metrics. We use a perturbation scheme to construct the collapse equation. The range of instability is explored in Newtonian and post Newtonian (pN) limits. We conclude that the electromagnetic field diminishes the effects of the shearing viscosity in the instability range and makes the system more unstable in both Newtonian and post Newtonian approximations.

Citations

• Singularities of noncompact charged objects
• Maximum mass-radius ratios for charged compact general relativistic objects
• Relativistic charged spheres: II. Regularity and stability
• The Dynamical Instability of Gaseous Masses Approaching the Schwarzschild Limit in General Relativity.
• Relativistic Equations for Adiabatic, Spherically Symmetric Gravitational Collapse