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The Generalized Second Law of Thermodynamics of the Universe Bounded by the Event Horizon and Modified Gravity Theories

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Abstract

In this paper, we investigate the validity of the generalized second law of thermodynamics of the universe bounded by the event horizon. Here we consider homogeneous and isotropic model of the universe filled with perfect fluid in one case and in another case holographic model of the universe has been considered. In the third case the matter in the universe is taken in the form of non-interacting two fluid system as holographic dark energy and dust. Here we study the above cases in the Modified gravity, f(R) gravity.

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References

  1. Jacobson, T.: Phys. Rev. Lett. 75, 1260 (1995)

    Article  MATH  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  3. Padmanavan, T.: Class. Quantum Gravity 19, 5387 (2002)

    Article  ADS  Google Scholar 

  4. Cai, R.G., Kim, S.P.: J. High Energy Phys. 02, 050 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  5. Perimutter, S., et al. (Supernova Cosmology Project Collaboration): Astrophys. J. 517, 565 (1999)

    Article  ADS  Google Scholar 

  6. Riess, A.G., et al. (Supernova Search Team Collaboration): Astron. J. 116, 1009 (1998)

    Article  ADS  Google Scholar 

  7. Astier, P., et al. (The SNLS Collaboration): Astron. Astrophys. 447, 31 (2006)

    Article  ADS  Google Scholar 

  8. Riess, A.G., et al.: Astrophys. J. 659, 98 (2007)

    Article  ADS  Google Scholar 

  9. Spergel, D.N., et al. (WMAP Collaboration): Astrophys. J. Suppl. Ser. 148, 175 (2003)

    Article  ADS  Google Scholar 

  10. Peiris, H.V., et al. (WMAP Collaboration): Astrophys. J. Suppl. Ser. 148, 213 (2003)

    Article  ADS  Google Scholar 

  11. Spergel, D.N., et al. (WMAP Collaboration): Astrophys. J. Suppl. Ser. 170, 377 (2007)

    Article  ADS  Google Scholar 

  12. Komatsu, E., et al., (WMAP Collaboration): arXiv:0803.0547 [astro-ph]

  13. Sahi, V.: AIP Conf. Proc. 782, 166 (2005) [J. Phys. Conf. Ser. 31, 115 (2006)]

    Article  ADS  Google Scholar 

  14. Padmanavan, T.: Phys. Rep. 380, 235 (2002)

    Article  ADS  Google Scholar 

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

    Article  MATH  MathSciNet  ADS  Google Scholar 

  16. Durrer, R., Marteens, R.: Gen. Relativ. Gravit. 40, 301 (2008)

    Article  MATH  ADS  Google Scholar 

  17. Nojiri, S., Odintsov, S.D.: Int. J. Geom. Methods Mod. Phys. 4, 115 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  18. Nojiri, S., Odintsov, S.: arXiv:0801.4843 [astro-ph]

  19. Nojiri, S., Odintsov, S.: arXiv:0807.0685 [hep-th ]

  20. Capozziello, S.: Int. J. Mod. Phys. D 11, 483 (2002)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  21. Carroll, S.M., Duvvuri, V., Trodden, M., Turner, M.S.: Phys. Rev. D 68, 043528 (2004)

    Article  ADS  Google Scholar 

  22. Nojiri, S., Odintsov, S.D.: Phys. Rev. D 68, 123512 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  23. Nojiri, S., Odintsov, S.D.: Phys. Rev. D 74, 086005 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  24. Bamba, K., Geng, C.-Q.: arXiv:0901.1509 [hep-th]

  25. Sadjadi, H.M.: Phys. Rev. D 76, 104024 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  26. Rovelli, C.: Phys. Rev. Lett. 77, 3288 (1996)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  27. Ashtekar, A., Baez, J., Corichi, A., Krasnov, K.: Phys. Rev. Lett. 80, 904 (1998)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  28. Paul, R.K., Majumder, P.: Phys. Rev. Lett. 84, 5255 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  29. Ghosh, A., Mitra, P.: Phys. Rev. D 71, 027502 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  30. Domagala, M., Lewandowski, J.: Class. Quantum Gravity 21, 5233 (2004)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  31. Meissner, K.A.: Class. Quantum Gravity 21, 5245 (2004)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  32. Hod, S.: Class. Quantum Gravity 21, L97 (2004)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  33. Medved, A.J.M.: Class. Quantum Gravity 22, 133 (2005)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  34. Chatterjee, A., Mazumder, P.: arXiv:gr-qc/0303030

  35. Ashtekar, A., Pawlowski, T., Sing, P.: Phys. Rev. Lett. 96, 141301 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  36. Ashtekar, A., Pawlowski, T., Sing, P.: Phys. Rev. D 74, 084003 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  37. Ashtekar, A., Pawlowski, T., Sing, P., Vandersloot, K.: Phys. Rev. D 75, 024035 (2007)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  39. Li, M.: Phys. Lett. B 603, 01 (2004)

    Article  ADS  Google Scholar 

  40. Setare, M.R., Shafei, S.: J. Cosmol. Astropart. Phys. 0609, 011 (2006). arXiv:gr-qc/0606103

    Article  ADS  Google Scholar 

  41. Hu, B., Ling, Y.: Phys. Rev. D 73, 123510 (2006)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  43. Nojiri, S., Odintsov, S.: Gen. Relativ. Gravit. 38, 1285 (2006)

    Article  MATH  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  45. Huang, Q.G., Li, M.: J. Cosmol. Astropart. Phys. 0408, 013 (2004)

    Article  ADS  Google Scholar 

  46. Zhang, X.: IJMPD 14, 1597 (2005)

    Article  MATH  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  49. Hsu, S.D.: Phys. Lett. B 594, 01 (2004)

    Article  ADS  Google Scholar 

  50. Horvat, R.: Phys. Rev. D 70, 087301 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  51. Cai, R.G., Cao, L.M., Hu, Y.P.: arXiv:0807.1232 [hep-th]

  52. Bousso, R.S.: Phys. Rev. D 71, 064024 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  53. Izquierdo, G., Pavon, D.: Phys. Lett. B 633, 420 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  54. Mazumder, N., Chakraborty, S.: Class. Quantum Gravity 26, 195016 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  55. Mazumder, N., Chakraborty, S.: Gen. Relativ. Gravit. (2009). doi:10.1007/s10714-009-0881-z

    Google Scholar 

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Correspondence to Subenoy Chakraborty.

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Mazumder, N., Chakraborty, S. The Generalized Second Law of Thermodynamics of the Universe Bounded by the Event Horizon and Modified Gravity Theories. Int J Theor Phys 50, 251–259 (2011). https://doi.org/10.1007/s10773-010-0517-9

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  • DOI: https://doi.org/10.1007/s10773-010-0517-9

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