Effects of Electromagnetic Field on the Dynamical Instability of Expansionfree Gravitational Collapse

Abstract

In this paper, we discuss the effects of electromagnetic field on the dynamical instability of a spherically symmetric expansionfree gravitational collapse. Darmois junction conditions are formulated by matching interior spherically symmetric spacetime to exterior Reissner-Nordstr$\ddot{o}$m spacetime. We investigate the role of different terms in the dynamical equation at Newtonian and post Newtonian regimes by using perturbation scheme. It is concluded that instability range depends upon pressure anisotropy, radial profile of energy density and electromagnetic field, but not on the adiabatic index $\Gamma$. In particular, the electromagnetic field reduces the unstable region.

20 pages, no figure

References in corpus (6)

• Nonadiabatic charged spherical gravitational collapse
• Radial pulsations and stability of anisotropic stars with quasi-local equation of state
• Shearing Expansion-free Spherical Anisotropic Fluid Evolution
• Charged Cylindrical Collapse of Anisotropic Fluid
• Charged relativistic spheres with generalized potentials
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