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Chin. Phys. B, 2013, Vol. 22(5): 050401    DOI: 10.1088/1674-1056/22/5/050401
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The stability of a shearing viscous star with an electromagnetic field

M. Sharifa, M. Azamaa b
a Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore-54590, Pakistan;
b Division of Science and Technology, University of Education, Township Campus, Lahore-54590, Pakistan
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

Cite this article: 

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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