Plane symmetric gravitational collapse and linear equation of state

Sharif, M.; Majid, Amal

doi:10.1007/s10509-013-1486-2

Original Article
Published: 24 May 2013

Plane symmetric gravitational collapse and linear equation of state

M. Sharif¹ &
Amal Majid¹

Astrophysics and Space Science volume 347, pages 71–76 (2013)Cite this article

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Abstract

This paper examines the gravitational collapse in plane symmetry with a perfect fluid using a linear equation of state p=kρ. We find a class of collapse models satisfying the Einstein field equations and also the regularity as well as energy conditions. For a given initial data, the outcome of the collapse turns out to be a black membrane or a naked singularity depending upon the equation of state parameter. We conclude that this parameter plays a crucial role in determining the final fate of the collapse.

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Authors and Affiliations

Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, 54590, Pakistan
M. Sharif & Amal Majid

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M. Sharif
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Amal Majid
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Correspondence to M. Sharif.

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Sharif, M., Majid, A. Plane symmetric gravitational collapse and linear equation of state. Astrophys Space Sci 347, 71–76 (2013). https://doi.org/10.1007/s10509-013-1486-2

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Received: 07 March 2013
Accepted: 06 May 2013
Published: 24 May 2013
Issue Date: September 2013
DOI: https://doi.org/10.1007/s10509-013-1486-2

Keywords

Gravitational collapse
Equation of state
Plane symmetry