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

  • Regular Article - Theoretical Physics
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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)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  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)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  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)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  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)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  ADS  MATH  Google Scholar 

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

    Article  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  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)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  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)

    Article  MathSciNet  ADS  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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Authors and Affiliations

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

    M. Sharif & M. Azam

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

    M. Azam

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  1. M. Sharif
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  2. M. Azam
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Correspondence to M. Sharif.

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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

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