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Reissner–Nordström thin-shell wormholes with generalized cosmic Chaplygin gas

Abstract

Following Visser’s approach (Visser in Phys. Rev. D 39:3182, 1989; Nucl. Phys. B 328:203, 1989; Lorentzian wormholes. AIP Press, New York, 1996) of cut and paste, we construct Reissner–Nordström thin-shell wormholes by taking the generalized cosmic Chaplygin gas for the exotic matter located at the wormhole throat. The Darmois–Israel conditions are used to determine the dynamical quantities of the system. The viability of the thin-shell wormholes is explored with respect to radial perturbations preserving the spherical symmetry. We find stable as well as unstable Reissner–Nordström thin-shell wormhole solutions depending upon the model parameters. Finally, we compare our results with both generalized and modified Chaplygin gases.

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References

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

    MathSciNet  ADS  Article  Google Scholar 

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

    MathSciNet  ADS  Article  Google Scholar 

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

    Google Scholar 

  4. D. Hochberg, M. Visser, Phys. Rev. D 56, 4745 (1997)

    MathSciNet  ADS  Article  Google Scholar 

  5. D. Hochberg, M. Visser, Phys. Rev. Lett. 81, 746 (1998)

    MathSciNet  ADS  Article  MATH  Google Scholar 

  6. D. Hochberg, M. Visser, Phys. Rev. D 58, 044021 (1998)

    MathSciNet  ADS  Article  Google Scholar 

  7. M.S. Morris, K.S. Thorne, U. Yurtsever, Phys. Rev. Lett. 61, 1446 (1988)

    ADS  Article  Google Scholar 

  8. V.P. Frolov, I.D. Novikov, Phys. Rev. D 42, 1057 (1990)

    MathSciNet  ADS  Article  Google Scholar 

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

    MathSciNet  ADS  Article  MATH  Google Scholar 

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

    MathSciNet  ADS  Article  Google Scholar 

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

    Google Scholar 

  12. W. Israel, Nuovo Cimento B 44S10, 1 (1966), ibid. Erratum 48, 463 (1967)

    ADS  Article  Google Scholar 

  13. F.S.N. Lobo, Phys. Rev. D 71, 124022 (2005)

    MathSciNet  ADS  Article  Google Scholar 

  14. M.G. Richarte, C. Simeone, Phys. Rev. D 76, 087502 (2007)

    ADS  Article  Google Scholar 

  15. J.P.S. Lemos, F.S.N. Lobo, Phys. Rev. D 78, 044030 (2008)

    MathSciNet  ADS  Article  Google Scholar 

  16. F. Rahaman et al., Acta Phys. Pol. B 40, 1575 (2009)

    MathSciNet  ADS  Google Scholar 

  17. A.S. Goncalo et al., Phys. Rev. D 82, 084023 (2010)

    Article  Google Scholar 

  18. F. Rahaman et al., Int. J. Theor. Phys. 51, 901 (2012)

    Article  MATH  Google Scholar 

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

    MathSciNet  ADS  Article  Google Scholar 

  20. M. Ishak, K. Lake, Phys. Rev. D 65, 044011 (2002)

    MathSciNet  ADS  Article  Google Scholar 

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

    MathSciNet  ADS  Article  MATH  Google Scholar 

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

    MathSciNet  ADS  Article  MATH  Google Scholar 

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

    MathSciNet  ADS  Article  Google Scholar 

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

    MathSciNet  ADS  Article  MATH  Google Scholar 

  25. F. Rahaman, M. Kalam, S. Chakraborty, Gen. Relativ. Gravit. 38, 1687 (2006)

    MathSciNet  ADS  Article  MATH  Google Scholar 

  26. F. Rahaman, M. Kalam, S. Chakraborty, Int. J. Mod. Phys. D 16, 1669 (2007)

    ADS  Article  MATH  Google Scholar 

  27. F. Rahaman, M. Kalam, K.A. Rahman, S. Chakraborty, Gen. Relativ. Gravit. 39, 945 (2007)

    ADS  Article  MATH  Google Scholar 

  28. S.H. Mazharimousavi, M. Halilsoy, Z. Amirabi, Phys. Lett. A 375, 231 (2011)

    MathSciNet  ADS  Article  MATH  Google Scholar 

  29. S.H. Mazharimousavi, M. Halilsoy, Z. Amirabi, Phys. Lett. A 375, 3649 (2011)

    MathSciNet  ADS  Article  MATH  Google Scholar 

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

    ADS  Article  Google Scholar 

  31. E.F. Eiroa, C. Simeone, Phys. Rev. D 78, 024018 (2008)

    ADS  Article  Google Scholar 

  32. C. Bejarano, E.F. Eiroa, Phys. Rev. D 84, 064043 (2011)

    ADS  Article  Google Scholar 

  33. E.F. Eiroa, G.F. Aguirre, Eur. Phys. J. C 72, 2240 (2012)

    ADS  Article  Google Scholar 

  34. I. Bochicchio, E. Laserra, Int. J. Theor. Phys. (2013). doi:10.1007/s10773-0131677-1

    Google Scholar 

  35. A. Riess et al., Astron. J. 116, 1009 (1998)

    ADS  Article  Google Scholar 

  36. S.J. Perlmutter et al., Astrophys. J. 517, 565 (1999)

    ADS  Article  Google Scholar 

  37. N.A. Bahcall, J.P. Ostriker, S.J. Perlmutter, P.J. Steinhardt, Science 284, 1481 (1999)

    ADS  Article  Google Scholar 

  38. S. Shushkov, Phys. Rev. D 71, 043520 (2005)

    ADS  Article  Google Scholar 

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

    MathSciNet  ADS  Article  Google Scholar 

  40. F. Rahaman, M. Kalam, M. Sarkar, K. Gayen, Phys. Lett. B 633, 161 (2006)

    MathSciNet  ADS  Article  MATH  Google Scholar 

  41. A. Das, S. Kar, Class. Quantum Gravity 22, 3045 (2005)

    MathSciNet  ADS  Article  MATH  Google Scholar 

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

    ADS  Article  Google Scholar 

  43. E.F. Eiroa, Phys. Rev. D 80, 044033 (2009)

    ADS  Article  Google Scholar 

  44. T. Bandyopadhyay, A. Baveja, S. Chakraborty, Int. J. Mod. Phys. D 13, 1977 (2009)

    ADS  Article  Google Scholar 

  45. N.M. Garcia, F.S.N. Lobo, M. Visser, Phys. Rev. D 86, 044026 (2012)

    ADS  Article  Google Scholar 

  46. M. Sharif, M. Azam, J. Cosmol. Astropart. Phys. 04, 023 (2013)

    ADS  Article  Google Scholar 

  47. M. Sharif, M. Azam, Eur. Phys. J. C 73, 2407 (2013)

    ADS  Article  Google Scholar 

  48. M. Sharif, M. Azam, J. Cosmol. Astropart. Phys. 05, 025 (2013)

    ADS  Article  Google Scholar 

  49. F.S.N. Lobo, Classical and Quantum Gravity Research (Nova Sci. Pub., New York, 2008)

    Google Scholar 

  50. P.F. Gonzalez-Diaz, Phys. Rev. D 68, 021303 (2003)

    MathSciNet  ADS  Article  Google Scholar 

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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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Sharif, M., Azam, M. Reissner–Nordström thin-shell wormholes with generalized cosmic Chaplygin gas. Eur. Phys. J. C 73, 2554 (2013). https://doi.org/10.1140/epjc/s10052-013-2554-z

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  • DOI: https://doi.org/10.1140/epjc/s10052-013-2554-z

Keywords

  • Extrinsic Curvature
  • Horizon Radius
  • Exotic Matter
  • Israel Condition
  • Wormhole Throat