Effects of Electromagnetic Field on the Dynamical Instability of Cylindrical Collapse

Abstract

The objective of this paper is to discuss the dynamical instability in the context of Newtonian and post Newtonian regimes. For this purpose, we consider non-viscous heat conducting charged isotropic fluid as a collapsing matter with cylindrical symmetry. Darmois junction conditions are formulated. The perturbation scheme is applied to investigate the influence of dissipation and electromagnetic field on the dynamical instability. We conclude that the adiabatic index $\Gamma$ has smaller value for such a fluid in cylindrically symmetric than isotropic sphere.

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• Stability of charged thin shells
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• Stability of Thin-Shell Wormholes in Nonlinear Electrodynamics
• Dynamics of Charged Bulk Viscous Collapsing Cylindrical Source With Heat Flux
• The Stability of a Shearing Viscous Star with Electromagnetic Field
• Impact of Extended Starobinsky Model on Evolution of Anisotropic, Vorticity-free Axially Symmetric Sources
• Effects of CDTT Model on the Dynamical Instability of Cylindrically Symmetric Collapsing Stars
• Dynamical Instability of Gaseous Sphere in the Reissner-Nordstrom Limit
• Gravitational Binding Energy in Charged Cylindrical Symmetry
• Dynamics of Charged Viscous Dissipative Cylindrical Collapse With Full Causal Approach
• Dynamical Instability of Shear-free Collapsing Star in Extended Teleparallel Gravity
• Instability Analysis of Cylindrical Stellar Object in Brans-Dicke Gravity