Advertisement

General Relativity and Gravitation

, Volume 42, Issue 4, pp 813–820 | Cite as

Validity of the generalized second law of thermodynamics of the universe bounded by the event horizon in holographic dark energy model

  • Nairwita Mazumder
  • Subenoy Chakraborty
Research Article

Abstract

In this paper, we investigate the validity of the generalized second law of thermodynamics of the universe bounded by the event horizon in the holographic dark energy (DE) model. The universe is chosen to be homogeneous and isotropic and the validity of the first law has been assumed here. The matter in the universe is taken in the form of non-interacting two fluid system: one component is the holographic DE model and the other component is in the form of dust.

Keywords

Holographic dark energy Generalized second law of thermodynamics 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Li M.: Phys. Lett. B 603, 01 (2004)CrossRefADSGoogle Scholar
  2. 2.
    Setare M.R., Shafei S.: JCAP 0609, 011 (2006) arXiv:gr-qc/0606103ADSGoogle Scholar
  3. 3.
    Hu B., Ling Y.: Phys. Rev. D 73, 123510 (2006)CrossRefMathSciNetADSGoogle Scholar
  4. 4.
    Wang B., Gong Y., Abdalla E.: Phys. Lett. B 624, 141 (2005)CrossRefADSGoogle Scholar
  5. 5.
    Ito M.: Europhys. Lett. 71, 712 (2005)CrossRefADSGoogle Scholar
  6. 6.
    Nojiri S., Odintsov S.: Gen. Relativ. Gravit. 38, 1285 (2006)zbMATHCrossRefMathSciNetADSGoogle Scholar
  7. 7.
    Saridakis E.N.: Phys. Lett. B 660, 138 (2008)CrossRefMathSciNetADSGoogle Scholar
  8. 8.
    Huang Q.G., Li M.: JCAP 0408, 013 (2004)ADSGoogle Scholar
  9. 9.
    Zhang X.: IJMPD 14, 1597 (2005)zbMATHCrossRefADSGoogle Scholar
  10. 10.
    Pavon D., Zimdahl W.: Phys. Lett. B 628, 206 (2005)CrossRefADSGoogle Scholar
  11. 11.
    Kim H., Lee H.W., Myung Y.S.: Phys. Lett. B 632, 605 (2006)CrossRefADSGoogle Scholar
  12. 12.
    Hsu S.D.: Phys. Lett. B 594, 01 (2004)CrossRefADSGoogle Scholar
  13. 13.
    Horvat R.: Phys. Rev. D 70, 087301 (2004)CrossRefMathSciNetADSGoogle Scholar
  14. 14.
    Cohen A.G., Kaplan D.B., Nelson A.E.: Phys. Rev. Lett. 82, 4971 (1999)zbMATHCrossRefMathSciNetADSGoogle Scholar
  15. 15.
    Chang Z., Wu F.-Q., Zhang X.: Phys. Lett. B 633, 14 (2006) arXiv:astroph/0509531CrossRefADSGoogle Scholar
  16. 16.
    Kao, H.C., Lee, W.L., Lin, F.L.: astro-ph/0501487Google Scholar
  17. 17.
    Zhang X., Wu F.-Q.: Phys. Rev. D 72, 043524 (2005) arXiv:astro-ph/0506310CrossRefADSGoogle Scholar
  18. 18.
    Zhang X., Wu F.-Q.: Phys. Rev. D 76, 023502 (2007) arXiv:astro-ph/0701405CrossRefADSGoogle Scholar
  19. 19.
    Wu, Q., Gong, Y., Wang, A., Alcaniz, J.S.: arXiv:astro-ph/0705.1006Google Scholar
  20. 20.
    Ma, Y.-Z., Gong, Y.: arXiv:astro-ph/0711.1641Google Scholar
  21. 21.
    Shen, J., Wang, B., Abdalla E., Su, R.K.: arXiv:hep-th/0412227Google Scholar
  22. 22.
    Saridakis E.N., Setare M.R.: Phys. Lett. B 670, 01 (2008)CrossRefADSGoogle Scholar
  23. 23.
    Saridakis E.N.: Phys. Lett. B 661, 335 (2008)MathSciNetADSGoogle Scholar
  24. 24.
    Charmouis C., Dufaux J.F.: CQG 19, 4671 (2002)CrossRefADSGoogle Scholar
  25. 25.
    Kim J.E., Kyae B., Lee H.M.: Nucl. Phys. B 582, 296 (2000)zbMATHCrossRefMathSciNetADSGoogle Scholar
  26. 26.
    Gravanis E., Willison S.: Phys. Lett. B 562, 118 (2003)zbMATHCrossRefMathSciNetADSGoogle Scholar
  27. 27.
    Cai R.G., Zhang H.S., Wang A.: Commun. Theor. Phys. 44, 948 (2005)CrossRefGoogle Scholar
  28. 28.
    Candelas P., Horowitz G.T., Strominger A., Witten E.: Nucl. Phys. B 258, 46 (1985)CrossRefMathSciNetADSGoogle Scholar
  29. 29.
    Greens M.B., Schwarz J.H., Witten E.: Super String Theory. Cambridge University Press, Cambridge (1987)Google Scholar
  30. 30.
    Polchinski J.: String Theory. Cambridge University Press, Cambridge (1998)CrossRefGoogle Scholar
  31. 31.
    Lanczos C.: Ann. Math. 39, 842 (1938)CrossRefMathSciNetGoogle Scholar
  32. 32.
    Sami M., Dadhich N.: TSPU Vestink 44(7), 25 (2004) arXiv: hep-th/0405016Google Scholar
  33. 33.
    Bousso R.S.: Phys. Rev. D 71, 064024 (2005)CrossRefMathSciNetADSGoogle Scholar
  34. 34.
    Cai R.G., Kim S.P.: JHEP 02, 050 (2005)CrossRefMathSciNetADSGoogle Scholar
  35. 35.
    Izquierdo G., Pavon D.: Phys. Lett. B 633, 420 (2006)CrossRefMathSciNetADSGoogle Scholar
  36. 36.
    Wang B., Gong Y., Abdalla E.: Phys. Rev. D 74, 083520 (2006)CrossRefADSGoogle Scholar
  37. 37.
    Saridakis, E.N., Gonzalez-Dýaz, P.F., Siguenza, C.L.: arXiv:0901.1213/astro-phGoogle Scholar
  38. 38.
    Gonzalez-Dýaz P.F., Siguenza C.L.: Nucl. Phys. B 697, 363 (2004)CrossRefADSGoogle Scholar
  39. 39.
    Pereira S.H., Lima J.A.S.: Phys. Lett. B 669, 266 (2008)CrossRefMathSciNetADSGoogle Scholar
  40. 40.
    Horvat R.: Phys. Lett. B 664, 201 (2008)CrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Department of MathematicsJadavpur UniversityKolkataIndia

Personalised recommendations