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Mechanical stability of cylindrical thin-shell wormholes

The European Physical Journal C volume 73, Article number: 2407 (2013) Cite this article

Abstract

In this paper, we apply the cut and paste procedure to the charged black string for the construction of a thin-shell wormhole. We consider the Darmois–Israel formalism to determine the surface stresses of the shell. We take the Chaplygin gas to deal with the matter distribution on shell. The radial perturbation approach (preserving the symmetry) is used to investigate the stability of static solutions. We conclude that stable static solutions exist both for uncharged and charged black string thin-shell wormholes for particular values of the parameters.

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Acknowledgements

We would like to thank the Higher Education Commission, Islamabad, Pakistan, for its financial support through the Indigenous Ph.D. 5000 Fellowship Program Batch-VII. One of us (MA) would like to thank University of Education, Lahore for the study leave.

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, 54590, Pakistan

    M. Sharif

  2. Division of Science and Technology, University of Education, Township Campus, Lahore, 54590, Pakistan

    M. Azam

Authors
  1. M. Sharif
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  2. M. Azam
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Corresponding author

Correspondence to M. Sharif.

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Sharif, M., Azam, M. Mechanical stability of cylindrical thin-shell wormholes. Eur. Phys. J. C 73, 2407 (2013). https://doi.org/10.1140/epjc/s10052-013-2407-9

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  • DOI: https://doi.org/10.1140/epjc/s10052-013-2407-9

Keywords

  • Event Horizon
  • Cosmic String
  • Black String
  • Exotic Matter
  • Surface Energy Density