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Interacting Holographic Dark Energy, Future Singularity and Polytropic Gas Model of Dark Energy in Closed FRW Universe

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Abstract

The present work deals with the accretion of two interacting fluids: dark matter and a hypothetical fluid as the holographic dark energy components onto wormhole in a non-flat FRW universe. First of all, following Cruz et al. (Phys. Lett. B 669, 271 2008), we obtained an exact solution of the Einstein’s field equations. Solution describes effectively the actual acceleration and indicates a big rip type future singularity of the universe. After that we have studied the evolution of the mass of wormhole embedded in this FRW universe in order to reproduce a stable universe protected against future-time singularity. We found that the accretion of these dark components leads to a gradual increase of wormhole mass. It is also observed that contrary to the case as shown by Cruz et al. (Phys. Lett. B 669, 271 2008), the big rip singularity of the universe with a divergent Hubble parameter of this dark energy model may be avoided by a big trip. We have established a correspondence between the holographic dark energy with the polytropic gas dark energy model and obtained the potential as well as dynamics of the scalar field which describes the polytropic cosmology.

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References

  1. Riess, A.G., et al.: Astron. J. 116, 1009 (1998)

    Article  ADS  Google Scholar 

  2. Perlmutter, S., et al.: Nature 391, 51 (1998)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  4. Riess, A.G., et al.: Astron. J. 607, 665 (2004)

    Article  Google Scholar 

  5. Fedeli, C., Moscardini, L., Bartelmann, M.: Astron. Astrophys. 500, 667 (2009)

    Article  ADS  Google Scholar 

  6. Copeland, E.J., Sami, M., Tsujikawa, S.: Int. J. Mod. Phys. D 15, 1753 (2006)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  7. Barreiro, T., et al.: Phys. Rev. D 61, 127301 (2000)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  9. Bento, M.C., et al.: Phy. Rev. D 70, 083519 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  10. Bagla, J.S., et al.: Phys. Rev. D 67, 063504 (2003)

    Article  ADS  Google Scholar 

  11. Leon, G., et al.: Phys. Lett. B 693, 1 (2010)

    Article  ADS  Google Scholar 

  12. Mukhopadhyay, U., Ray, S.: Mod. Phys. Lett. A 23, 3198 (2008)

    Article  Google Scholar 

  13. Adhav, K.S.: Eur. Phys. J. Plus 126, 127 (2011)

    Article  Google Scholar 

  14. Rahman, M.A., Ansari, M.: Astrophys. Space Sci. (2014). doi:10.1007/s10509-014-2135-0

    Google Scholar 

  15. Hooft, G.T.: arXiv:9310026 [gr-qc]

  16. Setare, M.R., Vanegas, E.C.: Int. J. Mod. Phys. D 18, 147 (2009)

    Article  ADS  MATH  Google Scholar 

  17. Zhang, J., Zhang, X., Liu, H.: Phys. Lett. B 651, 84 (2007)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  18. Zhang, X.: Phys. Lett. B 648, 1 (2007)

    Article  ADS  Google Scholar 

  19. Zhang, X.: Phys. Rev. D 74, 103505 (2006)

    Article  ADS  Google Scholar 

  20. Granda, L.N., Oliveros, A.: Phys. Lett. B 669, 275 (2008)

    Article  ADS  Google Scholar 

  21. Granda, L.N., Oliveros, A.: Phys. Lett. B 671, 199 (2009)

    Article  ADS  Google Scholar 

  22. Setare, M.R.: Eur. Phys. J.C 50, 991 (2007)

    Article  ADS  Google Scholar 

  23. Setare, M.R.: Phys. Lett. B 642, 1 (2006)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  24. Setare, M.R.: Phys. Lett. B 642, 421 (2006)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  25. Setare, M.R.: Phys. Lett. B 644, 99 (2007)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  26. Setare, M.R.: Phys. Lett. B 648, 329 (2007)

    Article  ADS  MATH  Google Scholar 

  27. Setare, M.R.: Phys. Lett. B 653, 116 (2007)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  28. Setare, M.R.: Phys. Lett. B 654, 1 (2007)

    Article  ADS  Google Scholar 

  29. Sarkar, S.: Astrophys. Space Sci. 349, 985 (2014)

    Article  ADS  Google Scholar 

  30. Gonzalez-Diaz, P.F.: Phys. Lett. B 586, 1 (2004)

    Article  ADS  Google Scholar 

  31. Nojiri, S., Odintsov, S.D., Tsujikawa, S.: Phys. Rev. D 71, 063004 (2005)

    Article  ADS  Google Scholar 

  32. Sarkar, S., Mahanta, C.R.: Gen. Relativ. Gravit. 45, 53 (2013)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  33. Caldwell, R.R.: Phys. Rev. Lett. 91, 071301 (2003)

    Article  ADS  Google Scholar 

  34. Elizalde, E., et al.: Phys. Rev. D 70, 043539 (2004)

    Article  ADS  Google Scholar 

  35. Nojiri, S., et al.: Phys. Lett. B 595, 1 (2004)

    Article  ADS  Google Scholar 

  36. Nojiri, S., et al.: Phys. Rev. D 70, 103522 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  37. Nojiri, S., Odintsov, S.D.: Phys. Lett. B 686, 44 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  38. Madrid, J.A.J.: arXiv:0512117 [astro-ph]

  39. Bouhmadi-Lopez, M., Madrid, J.A.J.: arXiv:0404540 [astro-ph]

  40. Ade, P.A.R., et al.: arXiv:1303.5076

  41. Szydlowski, M.: Phys. Lett. B 632, 1 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  42. Cruz, N., et al.: Phys. Lett. B 669, 271 (2008)

    Article  ADS  Google Scholar 

  43. Wang, B., Gong, Y., Abdalla, E.: Phys. Rev. D 74, 083520 (2006)

    Article  ADS  Google Scholar 

  44. He, J.H., Wang, B.: JCAP 0806, 10 (2008)

    Article  ADS  Google Scholar 

  45. Wang, B., et al.: Nucl. Phys. B 778, 69 (2007)

    Article  ADS  Google Scholar 

  46. Debnath, U., Chattopadhyay, S.: Int. J. Theor. Phys. (2012). doi:10.1007/s10773-012-1440-z

  47. Pavon, D., Zimdahl, W.: Phys. Lett. B 628, 206 (2005)

    Article  ADS  Google Scholar 

  48. Tsujikawa, S.: Phys. Rev. D 73, 103504 (2006)

    Article  ADS  Google Scholar 

  49. Sadjadi, H.M., Alimohammadi, M.: Phys. Rev. D 74, 103007 (2006)

    Article  ADS  Google Scholar 

  50. Wang, B., Lin, Ch.-Y., Abdalla, E.: Phys. Lett. B 637, 357 (2006)

    Article  ADS  Google Scholar 

  51. Bertolami, O., Gil Pedro, F., Le Delliou, M.: Gen. Rel. Grav. 41, 2839 (2009)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  52. Peebles, P.J.E., Ratra, B.: Rev. Mod. Phys. 75, 559 (2003)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  53. Strominger, A., Vafa, C.: Phys. Lett. B 379, 99 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  54. Kim, H., Lee, H.Y., Myung, Y.S.: Phys. Lett. B 632, 605 (2006)

    Article  ADS  Google Scholar 

  55. Horvat, R., Pavon, D.: Phys. Lett. B 653, 373 (2007)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  56. Huang, Q.G., Gong, Y.G.: JCAP 0408, 6 (2004)

    Article  ADS  Google Scholar 

  57. Sarkar, S.: New Astronomy 34, 144 (2015)

    Article  ADS  Google Scholar 

  58. Gonzalez-Diaz, P.F.: Phys. Rev. Lett. 93, 071301 (2004)

    Article  ADS  Google Scholar 

  59. Gonzalez-Diaz, P.F.: Phys. Lett. B 635, 1 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  60. Martin-Moruno, P.: Phys. Lett. B 659, 40 (2008)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  61. Babichev, E.O., et al.: Phys. Rev. Lett. 93, 021102 (2004)

    Article  ADS  Google Scholar 

  62. Lima, J.A.S., Guariento, D.C., Horvath, J.E.: Phys. Lett. B 693, 218 (2010)

    Article  ADS  Google Scholar 

  63. Gonzalez-Diaz, P.F.J.: Mod. Phys. 2, 803 (2011)

    Article  Google Scholar 

  64. Christensen-Dalsgaard, J.: Lecture Notes on Steller Structure and Evolution, 6th edn. Aarhus University Press, Aarhus (2004)

    Google Scholar 

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Acknowledgment

The author is thankful to the anonymous referee whose valuable comments have helped in improving the quality of this manuscript.

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Authors and Affiliations

  1. Department of Mathematics, Kaziranga English Academy, Garchuk, Guwahati-35, India

    Sanjay Sarkar

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  1. Sanjay Sarkar
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Correspondence to Sanjay Sarkar.

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Sarkar, S. Interacting Holographic Dark Energy, Future Singularity and Polytropic Gas Model of Dark Energy in Closed FRW Universe. Int J Theor Phys 55, 481–494 (2016). https://doi.org/10.1007/s10773-015-2682-3

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  • DOI: https://doi.org/10.1007/s10773-015-2682-3

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