Skip to main content
SpringerLink
Log in

Validity of the Generalized Second Law of Thermodynamics in the Logamediate and Intermediate Scenarios of the Universe

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

In this work, we have investigated the validity of the generalized second law of thermodynamics in logamediate and intermediate scenarios of the universe bounded by the Hubble, apparent, particle and event horizons using and without using first law of thermodynamics. We have observed that the GSL is valid for Hubble, apparent, particle and event horizons of the universe in the logamediate scenario of the universe using first law and without using first law. Similarly the GSL is valid for all horizons in the intermediate scenario of the universe using first law. Also in the intermediate scenario of the universe, the GSL is valid for Hubble, apparent and particle horizons but it breaks down whenever we consider the universe enveloped by the event horizon.

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

Similar content being viewed by others

References

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

    Article  ADS  Google Scholar 

  2. Reiss, A.G., et al.: Astron. J. 116, 1009 (1998)

    Article  ADS  Google Scholar 

  3. Tonry, J.L., et al.: Astrophys. J. 594, 1 (2003)

    Article  ADS  Google Scholar 

  4. Barris, B.J.: Astrophys. J. 602, 571 (2004)

    Article  ADS  Google Scholar 

  5. Reiss, A.G., et al.: Astrophys. J. 607, 665 (2004)

    Article  ADS  Google Scholar 

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

    ADS  Google Scholar 

  7. Tegmark, M., et al.: Phys. Rev. D 74, 123507 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  9. Sahni, V., Starobinsky, A.A.: Int. J. Mod. Phys. D 9, 373 (2000)

    ADS  Google Scholar 

  10. Padmanabhan, T.: Phys. Rep. 380, 235 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    ADS  Google Scholar 

  12. Padmanabhan, T.: Adv. Sci. Lett. 2, 174 (2009)

    Article  MathSciNet  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  16. Nojiri, S., Odintsov, S.D.: Phys. Rev. D 70, 103522 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  17. Piao, Y.S.: Phys. Rev. D 74, 047301 (2006)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  19. Cai, R.G., Kim, S.P.: J. High Energy Phys. 0502, 050 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  20. Gong, Y., Wang, B., Wang, A.: Phys. Rev. D 75, 123516 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  21. Davis, T.M., Davies, P.C.W., Lineweaver, C.H.: Class. Quantum Gravity 20, 2753 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  22. Jamil, M., Saridakis, E.N., Setare, M.R.: J. Cosmol. Astropart. Phys. 1011, 032 (2010)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  24. Saridakis, E.N., Gonzalez-Diaz, P.F., Siguenza, C.L.: Class. Quantum Gravity 26, 165003 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  25. Sadjadi, H.M., Honardoost, M.: Phys. Lett. B 47, 231 (2007)

    Google Scholar 

  26. Debnath, U.: Europhys. Lett. 94, 29001 (2011)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  28. Verlinde, E.: hep-th/0008140

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

    Article  MathSciNet  ADS  Google Scholar 

  30. Gong, Y., Wang, A.: Phys. Rev. Lett. 99, 211301 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  31. Cai, R.-G., Cao, L.-M.: Phys. Rev. D 75, 064008 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  32. Ge, X.-H.: Phys. Lett. B 651, 49 (2007)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  34. Guedens, R., Jacobson, T.: Phys. Rev. Lett. 96, 121301 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  35. Gong, Y., Wang, A.: Phys. Rev. Lett. 99, 211301 (2007)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  38. Gong, Y., Wang, B., Wang, A.: J. Cosmol. Astropart. Phys. 01, 024 (2007)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  40. Cai, R.-G., Ohta, N.: Phys. Rev. D 81, 084061 (2010)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  43. Cai, R.-G., Cao, L.-M., Hu, Y.-P., Kim, S.P.: Phys. Rev. D 78, 124012 (2008)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  45. Setare, M.R.: J. Cosmol. Astropart. Phys. 01, 023 (2007)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  50. Easther, R., Lowe, D.A.: Phys. Rev. Lett. 82, 4967 (1999)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  51. Barrow, J.D., Liddle, A.R.: Phys. Rev. D 47, 5219 (1993)

    Article  ADS  Google Scholar 

  52. Barrow, J.D., Nunes, N.J.: Phys. Rev. D 76, 043501 (2007)

    Article  ADS  Google Scholar 

  53. Ellis, G.F.R., Madsen, M.: Class. Quantum Gravity 8, 667 (1991)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  54. Banerjee, N., Das, S.: Gen. Relativ. Gravit. 37, 1695 (2005)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  55. Feinstein, A.: Phys. Rev. D 66, 063511 (2002)

    Article  ADS  Google Scholar 

  56. Campuzano, C., del Campo, S., Herrera, R., Rojas, E., Saavedra, J.: Phys. Rev. D 80, 123531 (2009)

    Article  ADS  Google Scholar 

  57. Debnath, U.: Class. Quantum Gravity 25, 205019 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  58. Mukherjee, S., Paul, B.C., Dadhich, N.K., Maharaj, S.D., Beesham, A.: arXiv:gr-qc/0505103v1 (2005)

  59. Mukhanov, V.: Physical Foundations of Cosmology, Cambridge University Press, New York (2005)

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, 711 103, India

    Arundhati Das & Ujjal Debnath

  2. Department of Computer Application (Mathematics Section), Pailan College of Management and Technology, Bengal Pailan Park, Kolkata, 700 104, India

    Surajit Chattopadhyay

Authors
  1. Arundhati Das
    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

  3. Ujjal Debnath
    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

Das, A., Chattopadhyay, S. & Debnath, U. Validity of the Generalized Second Law of Thermodynamics in the Logamediate and Intermediate Scenarios of the Universe. Found Phys 42, 266–283 (2012). https://doi.org/10.1007/s10701-011-9600-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10701-011-9600-1

Keywords

Search

Navigation