The stability of a shearing viscous star with an electromagnetic field

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

中国物理B ›› 2013, Vol. 22 ›› Issue (5): 50401-050401.doi: 10.1088/1674-1056/22/5/050401

The stability of a shearing viscous star with an electromagnetic field

M. Sharif^a, M. Azama^{a 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

收稿日期:2012-09-24 修回日期:2012-11-06 出版日期:2013-04-01 发布日期:2013-04-01

The stability of a shearing viscous star with an electromagnetic field

M. Sharif^a, M. Azama^{a 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

Received:2012-09-24 Revised:2012-11-06 Online:2013-04-01 Published:2013-04-01
Contact: M. Sharif, M. Azama E-mail:msharif.math@pu.edu.pk; azammath@gmail.com

摘要/Abstract

摘要： 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.

关键词: gravitational collapse, electromagnetic field, instability

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.

Key words: gravitational collapse, electromagnetic field, instability

中图分类号: (Classical general relativity)

04.20.-q

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)

M. Sharif, M. Azama. The stability of a shearing viscous star with an electromagnetic field[J]. 中国物理B, 2013, 22(5): 50401-050401.

M. Sharif, M. Azama. The stability of a shearing viscous star with an electromagnetic field[J]. Chin. Phys. B, 2013, 22(5): 50401-050401.

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The stability of a shearing viscous star with an electromagnetic field

The stability of a shearing viscous star with an electromagnetic field

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