The stability of a shearing viscous star with an electromagnetic field

doi:10.1088/1674-1056/22/5/050401

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.

Keywords: gravitational collapse electromagnetic field instability

Received: 24 September 2012
Revised: 06 November 2012
Accepted manuscript online:

PACS:	04.20.-q	(Classical general relativity)
	04.25.Nx	(Post-Newtonian approximation; perturbation theory; related Approximations)
	04.40.Dg	(Relativistic stars: structure, stability, and oscillations)
	04.40.Nr	(Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields)

Corresponding Authors: M. Sharif, M. Azama
E-mail: msharif.math@pu.edu.pk; azammath@gmail.com

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M. Sharif, M. Azama The stability of a shearing viscous star with an electromagnetic field 2013 Chin. Phys. B 22 050401

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