Skip to main content

Mechanical stability of cylindrical thin-shell wormholes

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.

This is a preview of subscription content, access via your institution.

Fig. 1
Fig. 2

References

  1. M. Morris, K. Thorne, Am. J. Phys. 56, 395 (1988)

    MathSciNet  ADS  Article  Google Scholar 

  2. F. Rahaman et al., Mod. Phys. Lett. A 24, 53 (2009)

    MathSciNet  ADS  MATH  Article  Google Scholar 

  3. P.K.F. Kuhfittig, Acta Phys. Pol. B 41, 2017 (2010)

    Google Scholar 

  4. G.A.S. Dias et al., Phys. Rev. D 82, 084023 (2010)

    ADS  Article  Google Scholar 

  5. M. Visser, S. Kar, N. Dadhich, Phys. Rev. Lett. 90, 201102 (2003)

    MathSciNet  ADS  Article  Google Scholar 

  6. E. Poisson, M. Visser, Phys. Rev. D 52, 7318 (1995)

    MathSciNet  ADS  Article  Google Scholar 

  7. M. Visser, Phys. Rev. D 39, 3182 (1989)

    MathSciNet  ADS  Article  Google Scholar 

  8. M. Visser, Nucl. Phys. B 328, 203 (1989)

    MathSciNet  ADS  Article  Google Scholar 

  9. M. Visser, Phys. Lett. B 242, 24 (1990)

    ADS  Article  Google Scholar 

  10. M. Visser, Lorentzian Wormholes (AIP Press, New York, 1996)

    Google Scholar 

  11. E.F. Eiroa, G.E. Romero, Gen. Relativ. Gravit. 36, 651 (2004)

    MathSciNet  ADS  MATH  Article  Google Scholar 

  12. F.S.N. Lobo, P. Crawford, Class. Quantum Gravity 21, 391 (2004)

    MathSciNet  ADS  MATH  Article  Google Scholar 

  13. M. Thibeault, C. Simeone, E.F. Eiroa, Gen. Relativ. Gravit. 38, 1593 (2006)

    MathSciNet  ADS  MATH  Article  Google Scholar 

  14. G. Cle’ment, Phys. Rev. D 51, 6803 (1995)

    MathSciNet  ADS  Article  Google Scholar 

  15. R.O. Aros, N. Zamorano, Phys. Rev. D 56, 6607 (1997)

    MathSciNet  ADS  Article  Google Scholar 

  16. P.K.F. Kuhfittig, Phys. Rev. D 71, 104007 (2005)

    MathSciNet  ADS  Article  Google Scholar 

  17. K.A. Bronnikov, J.P.S. Lemos, Phys. Rev. D 79, 104019 (2009)

    ADS  Article  Google Scholar 

  18. A. Vilenkin, E.P.S. Shellard, Cosmic Strings and Other Topological Defects (Cambridge University Press, Cambridge, 1994)

    MATH  Google Scholar 

  19. E.F. Eiroa, C. Simeone, Phys. Rev. D 70, 044008 (2004)

    MathSciNet  ADS  Article  Google Scholar 

  20. C. Bejarano, E.F. Eiroa, C. Simeone, Phys. Rev. D 75, 027501 (2007)

    ADS  Article  Google Scholar 

  21. M.G. Richarte, C. Simeone, Phys. Rev. D 79, 127502 (2009)

    ADS  Article  Google Scholar 

  22. E.F. Eiroa, C. Simeone, Phys. Rev. D 81, 084022 (2010)

    ADS  Article  Google Scholar 

  23. M. Sharif, M. Azam, J. Cosmol. Astropart. Phys. 02, 043 (2012)

    ADS  Article  Google Scholar 

  24. M. Sharif, M. Azam, Gen. Relativ. Gravit. 44, 1181 (2012)

    MathSciNet  ADS  MATH  Article  Google Scholar 

  25. M. Sharif, M. Azam, J. Phys. Soc. Jpn. 81, 124006 (2012)

    ADS  Article  Google Scholar 

  26. M. Sharif, M. Azam, Mon. Not. R. Astron. Soc. 430, 3048 (2013)

    ADS  Article  Google Scholar 

  27. M. Sharif, M. Azam, Chin. Phys. B 22, 050401 (2013)

    Article  Google Scholar 

  28. R.R. Caldwell, Phys. Lett. B 545, 23 (2002)

    ADS  Article  Google Scholar 

  29. B. Feng, X.L. Wang, X.M. Zhang, Phys. Lett. B 607, 35 (2005)

    ADS  Article  Google Scholar 

  30. T. Padmanabhan, Phys. Rev. D 66, 021301 (2002)

    ADS  Article  Google Scholar 

  31. X. Zhang, F.Q. Wu, J. Zhang, J. Cosmol. Astropart. Phys. 01, 003 (2006)

    ADS  Article  Google Scholar 

  32. M. Li, Phys. Lett. B 603, 1 (2004)

    ADS  Article  Google Scholar 

  33. R.G. Cai, Phys. Lett. B 657, 228 (2007)

    MathSciNet  ADS  MATH  Article  Google Scholar 

  34. A. Kamenshchik et al., Phys. Lett. B 511, 265 (2001)

    ADS  MATH  Article  Google Scholar 

  35. A. Dev et al., Phys. Rev. D 67, 023515 (2003)

    ADS  Article  Google Scholar 

  36. T. Barreiro et al., Phys. Rev. D 78, 043530 (2008)

    ADS  Article  Google Scholar 

  37. F.S.N. Lobo, Phys. Rev. D 71, 084011 (2005)

    MathSciNet  ADS  Article  Google Scholar 

  38. F.S.N. Lobo, Phys. Rev. D 73, 064028 (2006)

    MathSciNet  ADS  Article  Google Scholar 

  39. E.F. Eiroa, C. Simeone, Phys. Rev. D 71, 127501 (2005)

    ADS  Article  Google Scholar 

  40. M.G. Richarte, C. Simeone, Phys. Rev. D 76, 087502 (2007); Erratum, 77, 089903 (2008); Addendum: 83, 087503 (2011)

    ADS  Article  Google Scholar 

  41. E.F. Eiroa, C. Simeone, Phys. Rev. D 76, 024021 (2007)

    ADS  Article  Google Scholar 

  42. J.P.S. Lemos, V.T. Zanchin, Phys. Rev. D 54, 3840 (1996)

    MathSciNet  ADS  Article  Google Scholar 

  43. G. Darmois, Memorial des Sciences Mathematiques (Gautheir-Villars, Paris, 1927). Fasc. 25

    Google Scholar 

  44. W. Israel, Nuovo Cimento B 44, 1 (1966)

    ADS  Article  Google Scholar 

  45. P. Musgrave, K. Lake, Class. Quantum Gravity 13, 1885 (1996)

    MathSciNet  ADS  MATH  Article  Google Scholar 

Download references

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.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Sharif.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Revised:

  • Published:

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

Keywords

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