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Interacting three fluid system and thermodynamics of the universe bounded by the event horizon

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Abstract

The work deals with the thermodynamics of the universe bounded by the event horizon. The matter in the universe has three constituents namely dark energy, dark matter and radiation in nature and interaction between then is assumed. The variation of entropy of the surface of the horizon is obtained from unified first law while matter entropy variation is calculated from the Gibbss’ law. Finally, validity of the generalized second law of thermodynamics is examined and conclusions are written point wise.

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References

  1. Riess A.G. et al.: Astro. Phys J. 607, 665 (2004)

    Article  ADS  Google Scholar 

  2. Bennett C.L. et al.: Astrophys. J. Suppl. 148, 1 (2003)

    Article  ADS  Google Scholar 

  3. Tegmark M. et al.: [SDSS Collaboration]. Phys. Rev. D 69, 103501 (2004)

    Article  ADS  Google Scholar 

  4. Allen S.W. et al.: Mon. Not. Roy. Astron. Soc. 353, 457 (2004)

    Article  ADS  Google Scholar 

  5. Steinhardt P.J.: Critical Problems in Physics. Princeton University Press, Princeton (1997)

    Google Scholar 

  6. Sola J., Stefancic H.: Phys. Lett. B 624, 147 (2005)

    Article  ADS  Google Scholar 

  7. Sola J., Stefancic H.: Mod. Phys. Lett. A 21, 479 (2006)

    Article  ADS  Google Scholar 

  8. Shapiro I.L., Sola J.: Phys. Lett. B 682, 105 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  9. Ratra B., Peebles P.J.E.: Phys. Rev. D 37, 3406 (1988)

    Article  ADS  Google Scholar 

  10. Wetterich C.: Nucl. Phys. B 302, 668 (1988)

    Article  ADS  Google Scholar 

  11. Liddle A.R., Scherrer R.J.: Phys. Rev. D 59, 023509 (1999)

    Article  ADS  Google Scholar 

  12. Zlatev I., Wang L.M., Steinhardt P.J.: Phys. Rev. Lett. 82, 896 (1999)

    Article  ADS  Google Scholar 

  13. Guo Z.K., Ohta N., Zhang Y.Z.: Mod. Phys. Lett. A 22, 883 (2007)

    Article  MATH  ADS  Google Scholar 

  14. Dutta S., Saridakis E.N., Scherrer R.J.: Phys. Rev. D 79, 103005 (2009)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  16. Caldwell R.R., Kamionkowski M., Weinberg N.N.: Phys. Rev. Lett. 91, 071301 (2003)

    Article  ADS  Google Scholar 

  17. Nojiri S., Odintsov S.D.: Phys. Lett. B 562, 147 (2003)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  18. Onemli V.K., Woodard R.P.: Phys. Rev. D 70, 107301 (2004)

    Article  ADS  Google Scholar 

  19. Setare M.R., Sadeghi J., Amani A.R.: Phys. Lett. B 666, 288 (2008)

    Article  ADS  Google Scholar 

  20. Setare M.R., Saridakis E.N.: JCAP 0903, 002 (2009)

    ADS  Google Scholar 

  21. Saridakis E.N.: Nucl. Phys. B 819, 6 116 (2009)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  23. Guo Z.K. et al.: Phys. Lett. B 608, 177 (2005)

    Article  ADS  Google Scholar 

  24. Li M.-Z., Feng B., Zhang X.-M.: JCAP 0512, 002 (2005)

    ADS  Google Scholar 

  25. Feng B., Li M., Piao Y.-S., Zhang X.: Phys. Lett. B 634, 101 (2006)

    Article  ADS  Google Scholar 

  26. Setare M.R.: Phys. Lett. B 641, 130 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  27. Zhao W., Zhang Y.: Phys. Rev. D 73, 123509 (2006)

    Article  ADS  Google Scholar 

  28. Setare M.R., Sadeghi J., Amani A.R.: Phys. Lett. B 660, 299 (2008)

    Article  ADS  Google Scholar 

  29. Setare M.R., Saridakis E.N.: Phys. Lett. B 66(8), 177 (2008)

    ADS  Google Scholar 

  30. Setare M.R., Saridakis E.N.: JCAP 0809, 026 (2008)

    ADS  Google Scholar 

  31. Setare M.R., Saridakis E.N.: Int. J. Mod. Phys. D 18, 549 (2009)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  32. Cai, Y.-F., Saridakis, E.N., Setare, M.R., Xia, J.-Q.: arXiv:0909.2776[hep-th] (2010)

  33. Hsu S.D.H.: Phys. Lett. B 594, 13 (2004)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  35. Huang Q.G., Li M.: JCAP 08, 013 (2004)

    ADS  Google Scholar 

  36. Ito M.: Europhys. Lett. 71, 712 (2005)

    Article  ADS  Google Scholar 

  37. Zhang X., Wu F.Q.: Phys. Rev. D 72, 043524 (2005)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  39. Nojiri, S., Odintsov, S.D.: Phys. Rev. D. 81, 023007 (2010) 023007-5

    Google Scholar 

  40. Nojiri S., Odintsov S.D.: Relativ. Gravit. 38, 1285 (2006)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  41. Elizalde E., Nojiri S., Odintsov S.D., Wang P.: Phys. Rev. D 71, 103504 (2005)

    Article  ADS  Google Scholar 

  42. Li H., Guo Z.K., Zhang Y.Z.: IJMPD 15, 869 (2006)

    Article  MATH  ADS  Google Scholar 

  43. Saridakis E.N.: Phys. Lett. B 660, 138 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  44. Saridakis E.N.: JCAP 04, 020 (2008)

    ADS  Google Scholar 

  45. Saridakis E.N.: Phys. Lett. B 661, 335 (2008)

    ADS  MathSciNet  Google Scholar 

  46. Horava P.: Phys. Rev. D 79, 084008 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  47. Calcagni, G.: arXiv:0904.0829[hep-th]

  48. Kiritsis E., Kofinas G.: Nucl. Phys. B 821, 467 (2009)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  49. Lu, H., Mei, J., Pope, C.N.: arXiv:0904.1595[hep-th] (2009)

  50. Charmousis, C., Niz, G., Padilla, A., Saffin, P.M.: arXiv:0905.2579[hep-th] (2009)

  51. Saridakis, E.N.: arXiv:0905.3532[hep-th] (2009)

  52. Gao, X., Wang, Y., Brandenberger, R., Riotto, A.: arXiv:0905.3821[hep-th] (2009)

  53. Park, M.i.: arXiv:0905.4480[hep-th] (2009)

  54. Cai, Y.F., Saridakis, E.N.: arXiv:0906.1789[hep-th]

  55. Botta-Cantcheff, M., Grandi, N., Sturla, M.: arXiv:0906.0582[hep-th]

  56. Setare, M.R.: arXiv:0909.0456[hep-th]

  57. Germani C., Kehagias A., Sfetsos K.: JHEP 0909, 060 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  58. Leon G., Saridakis E.N.: JCAP 0911, 006 (2009)

    ADS  MathSciNet  Google Scholar 

  59. Jamil, M., Saridakis, E.N., Setare, M.R.: arXiv:1003.0876[gr-qc]

  60. Bekenstein J.D.: Phys. Rev. D 7, 2333 (1973)

    Article  ADS  MathSciNet  Google Scholar 

  61. Setare M.R.: JCAP 01, 023 (2007)

    ADS  MathSciNet  Google Scholar 

  62. Jamil M., Saridakis Emmanuel N., Setare M.R.: Phys. Rev. D 81, 023007 (2010)

    Article  ADS  Google Scholar 

  63. Chakraborty, S., Biswas, R., Mazumder, N.: arXiv:1006.1169 [gr-qc]

  64. Davis P.C.W.: Class. Quantum Grav. 5, 1349 (1998)

    Article  ADS  Google Scholar 

  65. Chakraborty, S., Biswas, R., Mazumder, N.: arXiv:1006.0881 [gr-qc]

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Correspondence to Subenoy Chakraborty.

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Mazumder, N., Biswas, R. & Chakraborty, S. Interacting three fluid system and thermodynamics of the universe bounded by the event horizon. Gen Relativ Gravit 43, 1337–1345 (2011). https://doi.org/10.1007/s10714-010-1116-z

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  • DOI: https://doi.org/10.1007/s10714-010-1116-z

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