Skip to main content
SpringerLink
Log in

Statefinder and Om Diagnostics for Interacting New Holographic Dark Energy Model and Generalized Second Law of Thermodynamics

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

Abstract

In this work, we have considered that the flat FRW universe is filled with the mixture of dark matter and the new holographic dark energy. If there is an interaction, we have investigated the natures of deceleration parameter, statefinder and Om diagnostics. We have examined the validity of the first and generalized second laws of thermodynamics under these interactions on the event as well as apparent horizon. It has been observed that the first law is violated on the event horizon. However, the generalized second law is valid throughout the evolution of the universe enveloped by the apparent horizon. When the event horizon is considered as the enveloping horizon, the generalized second law is found to break down excepting at late stage of the universe.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

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

    Article  ADS  Google Scholar 

  2. Riess, A.G., et al.: Astron. J. 116, 1009 (1988)

    Article  ADS  Google Scholar 

  3. Abazajian, K., et al.: Astron. J. 128, 502 (2004)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. Padmanabhan, T.: Curr. Sci. 88, 1057 (2005)

    ADS  Google Scholar 

  7. Bamba, K., Capozziello, S., Nojiri, S., Odintsov, S.D.: arXiv:1205.3421v3 [gr-qc]

  8. Horava, P., Minic, D.: Phys. Rev. Lett. 85, 1610 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  9. Horava, P., Minic, D.: Phys. Rev. Lett. 509, 138 (2001)

    Google Scholar 

  10. Thomas, S.: Phys. Rev. Lett. 89, 081301 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  11. Fischler, W., Susskind, L.: hep-th/9806039

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

    Article  ADS  Google Scholar 

  13. Zhang, X.: Int. J. Mod. Phys. D 14, 1597 (2005)

    Article  ADS  MATH  Google Scholar 

  14. Gong, Y.: Phys. Rev. D 70, 064029 (2004)

    Article  ADS  Google Scholar 

  15. Wang, B., Gong, Y., Abdalla, E.: Phys. Lett. B 624, 141 (2005)

    Article  ADS  Google Scholar 

  16. Zhang, X.: Int. J. Mod. Phys. D 14, 1597 (2005)

    Article  ADS  MATH  Google Scholar 

  17. Pavon, D., Zimdahl, W.: hep-th/0511053

  18. Cohen, A.G., et al.: Phys. Rev. Lett. 82, 4971 (1999)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  19. Gao, C., Wu, F., Chen, X.: Phys. Rev. D 79, 043511 (2009)

    Article  ADS  Google Scholar 

  20. Feng, C.-J.: Phys. Lett. B 670, 231 (2009)

    ADS  Google Scholar 

  21. Xu, L., Lu, J., Li, W.: Eur. Phys. J. C 64, 89 (2009)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  22. Xu, L., Li, W., Lu, J.: Mod. Phys. Lett. A 24, 1355 (2009)

    Article  ADS  MATH  Google Scholar 

  23. Feng, C.-J., Li, X.-Z.: Phys. Lett. B 680, 355 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  24. Feng, C.-J.: Phys. Lett. B 672, 94 (2009)

    Article  ADS  Google Scholar 

  25. Feng, C.-J.: 0806.0673 [hep-th]

  26. Kim, K.Y., Lee, H.W., Myung, Y.S.: arXiv:0812.4098v1 [gr-qc]

  27. Suwa, M., Nihei, T.: arXiv:0911.4810v1 [astro-ph]

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

    Article  ADS  Google Scholar 

  29. Malekjani, M., Khodam-Mohammadi, A., Nazari-pooya, N.: Astrophys. Space Sci. 332, 515 (2010)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  31. Yu, F., Zhang, J., Lu, J., Wang, W., Gui, Y.: Phys. Lett. B 688, 263 (2010)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  ADS  MATH  Google Scholar 

  36. Setare, M.R., Zhang, J.: J. Cosmol. Astropart. Phys. 007, 0703 (2007)

    Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  38. Gibbons, G.W., Hawking, S.W.: Phys. Rev. D 15, 2738 (1977)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  41. Padmanabhan, T.: Class. Quantum Gravity 19, 5387 (2002)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  42. Sadjadi, H.M.: Phys. Lett. B 645, 108 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  43. Setare, M.R., Shafei, S.: J. Cosmol. Astropart. Phys. 09, 011 (2006)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  45. Setare, M.R.: J. Cosmol. Astropart. Phys. 023, 0701 (2007)

    MathSciNet  Google Scholar 

  46. Zhang, X.: arXiv:hep-ph/0410292v1

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  49. Wei, H., Cai, R.-G.: Eur. Phys. J. C 59, 99 (2009)

    Article  ADS  Google Scholar 

  50. Sheykhi, A.: Phys. Rev. D 81, 023525 (2010)

    Article  ADS  Google Scholar 

  51. Wei, H., Cai, R.-G.: Phys. Lett. B 655, 1 (2007)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  53. Olivers, G., Atrio, F., Pavon, D.: Phys. Rev. D 71, 063523 (2005)

    Article  ADS  Google Scholar 

  54. Wei, H., Zhang, S.N.: Phys. Rev. D 78, 023011 (2008)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  58. Sahni, V., Saini, T.D., Starobinsky, A.A., Alam, U.: JETP Lett. 77, 201 (2003)

    Article  ADS  Google Scholar 

  59. Sahni, V., Shafieloo, A., Starobinsky, A.A.: Phys. Rev. D 78, 103502 (2008)

    Article  ADS  Google Scholar 

  60. Tong, M.L., Zhang, Y.: Phys. Rev. D 80, 023503 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  61. Sahni, V., et al.: Phys. Rev. D 78, 103502 (2008)

    Article  ADS  Google Scholar 

  62. Cai, R.-G., Song, P.K.: J. High Energy Phys. 02, 50 (2005)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  64. Gibbons, G.W., Hawking, S.W.: Phys. Rev. D 15, 2738 (1977)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  68. Sheykhi, A.: J. Cosmol. Astropart. Phys. 05, 019 (2009)

    Article  ADS  Google Scholar 

  69. Zhou, J., Wang, B., Gong, Y., Abdalla, E.: (2007). arXiv:0705.1264v2 [gr-qc]

  70. Sadjadi, H.M.: Phys. Lett. B 645, 108 (2007)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

Download references

Acknowledgements

The authors sincerely acknowledge the constructive suggestions made by the anonymous reviewer to enhance the quality of the paper. Both of the authors are thankful to IUCAA, Pune, India for providing facilities to carry out their research work under Visitor Associateship Programme under which the work was carried out. Also, the first author (U.D.) is thankful to CSIR, Govt. of India for providing research project grant (No. 03(1206)/12/EMR-II).

Author information

Authors and Affiliations

  1. Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, 711103, India

    Ujjal Debnath

  2. Department of Computer Application (Mathematics Section), Pailan College of Management and Technology, Bengal Pailan Park, Kolkata, 700104, India

    Surajit Chattopadhyay

Authors
  1. Ujjal Debnath
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Surajit Chattopadhyay
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Surajit Chattopadhyay.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Debnath, U., Chattopadhyay, S. Statefinder and Om Diagnostics for Interacting New Holographic Dark Energy Model and Generalized Second Law of Thermodynamics. Int J Theor Phys 52, 1250–1264 (2013). https://doi.org/10.1007/s10773-012-1440-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-012-1440-z

Keywords

Search

Navigation