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Linearized stability of Bardeen anti-de Sitter wormholes

  • M. SharifEmail author
  • Faisal Javed
Original Article
  • 78 Downloads

Abstract

In this paper, we explore the stable and unstable geometrical structures of thin-shell wormholes. We use Visser cut and paste approach to develop thin-shell from Bardeen anti-de Sitter black holes. The characteristics of matter distribution are determined by using Israel formalism. We discuss the existence of exotic matter at the wormhole throat through energy conditions and examine the attractive/repulsive nature of wormhole throat. The linearized stability of thin-shell is studied through barotropic and variable equations of state (generalized phantomlike and generalized Chaplygin gas model). We conclude that the stability of wormhole depends on the matter distribution as well as cosmological constant. Finally, we compare the stable structure of wormhole for these equations of state through length parameter.

Keywords

Wormhole Regular black hole Israel formalism 

Notes

Acknowledgement

One of us (FJ) would like to thank the Higher Education Commission, Islamabad, for its financial support through 6748/Punjab/NRPU/RD/HEC/2016.

Conflict of interest

The authors declare that there is no conflict of interest.

References

  1. Ayón-Beato, E., García, A.: Phys. Rev. Lett. 80, 5056 (1998) ADSCrossRefGoogle Scholar
  2. Bardeen, J.M.: In: Proceedings of GR5, Tiflis, USSR, p. 174 (1968) Google Scholar
  3. Barrabès, C., Frolov, V.P.: Phys. Rev. D 53, 3215 (1996) ADSMathSciNetCrossRefGoogle Scholar
  4. Borde, A.: Phys. Rev. D 50, 3692 (1994) ADSMathSciNetCrossRefGoogle Scholar
  5. Bronnikov, K.A.: Phys. Rev. Lett. 85, 4641 (2000) ADSCrossRefGoogle Scholar
  6. Eiroa, E.F., Romero, G.E.: Gen. Relativ. Gravit. 36, 651 (2004) ADSCrossRefGoogle Scholar
  7. Eiroa, E.F., Simeone, C.: Phys. Rev. D 91, 064005 (2015) ADSMathSciNetCrossRefGoogle Scholar
  8. Fernando, S.: Int. J. Mod. Phys. D 26, 07 (2017) Google Scholar
  9. Hayward, S.A.: Phys. Rev. Lett. 96, 031103 (2006) ADSCrossRefGoogle Scholar
  10. Kim, S.W., Lee, H.: Phys. Rev. D 63, 064014 (2001) ADSMathSciNetCrossRefGoogle Scholar
  11. Kuhfittig, P.K.F.: Acta Phys. Pol. B 41, 2017 (2010) Google Scholar
  12. Li, C., et al.: (2018). arXiv:1812.02567v1
  13. Lobo, F.S.N., Crawford, P.: Class. Quantum Gravity 21, 391 (2004) ADSCrossRefGoogle Scholar
  14. Mazharimousavi, S.H.: Eur. Phys. J. Plus 134, 342 (2019a) CrossRefGoogle Scholar
  15. Mazharimousavi, S.H.: Eur. Phys. J. C 79, 449 (2019b) ADSCrossRefGoogle Scholar
  16. Morris, M.S., Thorne, K.S.: Am. J. Phys. 56, 395 (1988) ADSCrossRefGoogle Scholar
  17. Poisson, E., Visser, M.: Phys. Rev. D 52, 7318 (1995) ADSMathSciNetCrossRefGoogle Scholar
  18. Rahaman, F., et al.: Int. J. Theor. Phys. 49, 2364 (2010) CrossRefGoogle Scholar
  19. Sharif, M., Azam, M.: J. Cosmol. Astropart. Phys. 04, 023 (2013a) ADSCrossRefGoogle Scholar
  20. Sharif, M., Azam, M.: Eur. Phys. J. C 73, 2407 (2013b) ADSCrossRefGoogle Scholar
  21. Sharif, M., Javed, F.: Gen. Relativ. Gravit. 48, 158 (2016) ADSCrossRefGoogle Scholar
  22. Sharif, M., Javed, F.: Int. J. Mod. Phys. D 28, 1950046 (2019a) ADSCrossRefGoogle Scholar
  23. Sharif, M., Javed, F.: Ann. Phys. 407, 198 (2019b) ADSCrossRefGoogle Scholar
  24. Sharif, M., Javed, F.: Chin. J. Phys. 61, 262 (2019c) CrossRefGoogle Scholar
  25. Sharif, M., Javed, F.: Mod. Phys. Lett. A 33, 1950350 (2019d) CrossRefGoogle Scholar
  26. Sharif, M., Mumtaz, S.: Astrophys. Space Sci. 352, 729 (2014) ADSCrossRefGoogle Scholar
  27. Sharif, M., Mumtaz, S.: Adv. High Energy Phys. 2016, 13 (2016) CrossRefGoogle Scholar
  28. Sharif, M., Mumtaz, S.: Eur. Phys. J. Plus 132, 26 (2017) CrossRefGoogle Scholar
  29. Varela, V.: Phys. Rev. D 92, 044002 (2015) ADSMathSciNetCrossRefGoogle Scholar
  30. Visser, M.: Phys. Rev. D 39, 3182 (1989a) ADSMathSciNetCrossRefGoogle Scholar
  31. Visser, M.: Nucl. Phys. B 328, 203 (1989b) ADSCrossRefGoogle Scholar

Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of the PunjabLahorePakistan

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