Skip to main content
Log in

Generalized Second Law of Thermodynamics for Interacting Dark Energy in the DGP Braneworld

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

In this paper, we investigate the validity of the generalized second law of thermodynamics (GSLT) in the DGP braneworld when the universe is filled with interacting two fluid system: one in the form of cold dark matter and other is holographic dark energy. The boundary of the universe is assumed to be enclosed by the dynamical apparent horizon or the event horizon. The universe is chosen to be homogeneous and isotropic FRW model and the validity of the first law has been assumed here.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Perlmutter, S.J., et al.: Astrophys. J. 517, 565 (1999) [astro-ph/9812133]

    Article  ADS  Google Scholar 

  2. Spergel, D.N., et al.: Astrophys. J. Suppl. Ser. 148, 175 (2003) [astro-ph/0302209] and references therein

    Article  ADS  Google Scholar 

  3. Riess, A.G., et al.: Astrophys. J. 607, 665 (2004) [astro-ph/0402512]

    Article  ADS  Google Scholar 

  4. Copeland, E.J., Sami, M., Tsujikawa, S.: Int. J. Mod. Phys. D 15, 1753 (2006) [hep-th/0603057] and references therein

    Article  ADS  MathSciNet  MATH  Google Scholar 

  5. Rubakov, V.A.: Phys. Usp. 44, 871 (2001) [hep-ph/0104152]

    Article  ADS  Google Scholar 

  6. Maartens, R.: Living Rev. Relativ. 7, 7 (2004) [gr-qc/0312059]

    ADS  Google Scholar 

  7. Brax, P., et al.: Rep. Prog. Phys. 67, 2183 (2004) [hep-th/0404011]

    Article  ADS  MathSciNet  Google Scholar 

  8. Csa’ki, C.: [hep-ph/0404096] (2004)

  9. Dvali, G.R., Gabadadze, G., Porrati, M.: Phys. Lett. B 485, 208 (2000) [hep-th/0005016]

    Article  ADS  MathSciNet  MATH  Google Scholar 

  10. Deffayet, D.: Phys. Lett. B 502, 199 (2001)

    Article  ADS  MATH  Google Scholar 

  11. Deffayet, D., Dvali, G.R., Gabadadze, G.: Phys. Rev. D 65, 044023 (2002) [astro-ph/0105068]

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  13. Hawking, S.W.: Commun. Math. Phys. 43, 199 (1975)

    Article  ADS  MathSciNet  Google Scholar 

  14. Davies, P.C.W.: Class. Quantum Gravity 4, L225 (1987)

    Article  ADS  Google Scholar 

  15. Davies, P.C.W.: Class. Quantum Gravity 5, 1349 (1988)

    Article  ADS  MATH  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  17. Wang, B., Gong, Y., Abdalla, E.: Phys. Rev. D 74, 083520 (2006) [gr-qc/0511051]

    Article  ADS  Google Scholar 

  18. Akbar, M., Cai, R.G.: Phys. Rev. D 73, 063525 (2006) [gr-qc/0512140]

    Article  Google Scholar 

  19. Sadjadi, M.H.: Phys. Rev. D 75, 084003 (2007) [hep-th/0609128]

    Article  Google Scholar 

  20. Brevik, I., Nojiri, S., Odinstov, S.D., Vanzo, L.: Phys. Rev. D 70, 043520 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  21. Srivastava, S.K.: Phys. Lett. B 619, 1 (2005) [astro-ph/0407048]

    Article  ADS  Google Scholar 

  22. Jacobson, T.: Phys. Rev. Lett. 75, 1260 (1995) [gr-qc/9504004]

    Article  ADS  MathSciNet  MATH  Google Scholar 

  23. Eling, C., Guedens, R., Jacobson, T.: Phys. Rev. Lett. 96, 121301 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  24. Akbar, M., Cai, R.G.: Phys. Lett. B 635, 7 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  25. Cai, R.G., Cao, L.M.: Nucl. Phys. B 785, 135 (2007)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  26. Sheykhi, A., Wang, B., Cai, R.G.: Nucl. Phys. B 779, 1 (2007)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  27. Sheykhi, A., Wang, B., Cai, R.G.: Phys. Rev. D 76, 023515 (2007) [hep-th/0701261]

    Article  ADS  MathSciNet  Google Scholar 

  28. Sheykhi, A.: J. Cosmol. Astropart. Phys. 0905, 019 (2009)

    Article  ADS  Google Scholar 

  29. Sheykhi, A., Wang, B.: [arXiv:0811.4478]

  30. Wang, B., Gong, Y., Abdalla, E.: Phys. Rev. D 74, 083520 (2006) [gr-qc/0511051]

    Article  ADS  Google Scholar 

  31. Cohen, A.G., Kaplan, D.B., Nelson, A.E.: Phys. Rev. Lett. 82, 4971 (1999)

    Article  ADS  MathSciNet  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  33. Lue, A., Starkman, G.D.: Phys. Rev. D 70, 101501 (2004) [arXiv:astro-ph/0408246]

    Article  ADS  Google Scholar 

  34. Chimento, L.P., Lazkoz, R., Maartens, R., Quiros, I.: J. Cosmol. Astropart. Phys. 0609, 004 (2006) [arXiv:astro-ph/0605450]

    Article  ADS  Google Scholar 

  35. Bouhmadi-Lopez, M., Lazkoz, R.: Phys. Lett. B 654, 51 (2007) [arXiv:0706.3896 (astro-ph)]

    Article  ADS  MathSciNet  Google Scholar 

  36. Zhang, H., Zhu, Z.H.: Phys. Rev. D, Part. Fields 75, 023510 (2007)

    Article  ADS  Google Scholar 

  37. Wu, X., Cai, R.G., Zhu, Z.H.: Phys. Rev. D 77, 043502 (2008)

    Article  ADS  Google Scholar 

  38. Mazumder, N., Chakraborty, S.: [arXiv:1005.5589 [gr-qc]] (2010)

  39. Dutta, J., Chakraborty, S.: Gen. Relativ. Gravit. 42, 1863 (2010)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  40. Saridakis, F.N., Gonzalez-Dyaz, P.F. Siguenza, C.I. [0901.1213/astro-ph]

  41. Saridakis, F.N., Gonzalez-Dyaz, P.F., Siguenza, C.I.: Nucl. Phys. B 697, 363 (2004)

    Article  ADS  Google Scholar 

  42. Pereira, S.H., Lima, J.A.S.: Phys. Lett. B 669, 266 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  43. Mazumder, N., Chakraborty, S.: Gen. Relativ. Gravit. 42, 813 (2010) [arXiv:1005.3403 [gr-qc]]

    Article  ADS  MathSciNet  MATH  Google Scholar 

  44. Jamil, M., Saridakis, E.N., Setare, M.R.: J. Cosmol. Astropart. Phys. 1011, 032 (2010) [arXiv:1003.0876 [hep-th]]

    Article  ADS  MathSciNet  Google Scholar 

  45. Setare, M.R.: J. Cosmol. Astropart. Phys. 0701, 023 (2007) [arXiv:hep-th/0701242]

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jibitesh Dutta.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dutta, J., Chakraborty, S. Generalized Second Law of Thermodynamics for Interacting Dark Energy in the DGP Braneworld. Int J Theor Phys 50, 2383–2390 (2011). https://doi.org/10.1007/s10773-011-0721-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-011-0721-2

Keywords

Navigation