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Generalized Second Law of Thermodynamics in Emergent Universe

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Abstract

In this letter, we have considered the FRW model of the emergent universe, which was presented in our previous work (Debnath, in Class. Quantum Gravity 25:205019, 2008). We have chosen one of the form of scale factor in such a way that the emergent scenario is possible in the universe. We have also considered the universe as a thermodynamical system with the horizon surface as a boundary of the system. The entropy and the radius of the event horizon have been calculated in the emergent scenario. When the emergent scenario occurs, we have shown that the generalized second law of thermodynamics is always satisfied for open, flat and closed models of the universe.

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References

  1. Babichev, E., Dokuchaev, V., Eroshenko, Y.: Phys. Rev. Lett. 93, 021102 (2004)

    Article  ADS  Google Scholar 

  2. Brustein, R.: Phys. Rev. Lett. 84, 2072 (2000)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. Bennett, et al.: Astrophys. J. Suppl. Ser. 148, 1 (2003)

    Article  ADS  Google Scholar 

  4. Banerjee, A., Bandyopadhyay, T., Chakraborty, S.: Gravit. Cosmol. 13, 290 (2007)

    ADS  Google Scholar 

  5. Banerjee, A., Bandyopadhyay, T., Chakraborty, S.: Gen. Relativ. Gravit. 40, 1603 (2008)

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  7. Borde, A., Guth, A.H., Vilenkin, A.: Phys. Rev. Lett. 90, 151301 (2003)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  10. de Campo, S., Herrera, R., Labraña, P.: J. Cosmol. Astropart. Phys. 0711, 030 (2007)

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  14. Ellis, G.F.G., Maartens, R.: Class. Quantum Gravity 21, 223 (2004)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. Ellis, G.F.R., Murugan, J., Tsagas, C.G.: Class. Quantum Gravity 21, 233 (2004)

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  19. Gonzalez-Diaz, P.F.: hep-th/0411070 (2004)

  20. Gonzalez-Diaz, P.F., Siguenza, C.L.: Nucl. Phys. B 697, 363 (2004)

    Article  ADS  MATH  Google Scholar 

  21. Horvat, R.: Phys. Lett. B 664, 201 (2008)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  23. Izquierdo, G., Pavon, D.: Phys. Rev. D 70, 127505 (2004)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  26. Limaa, J.A.S., Alcanizb, J.S.: Phys. Lett. B 600, 191 (2004)

    Article  ADS  Google Scholar 

  27. Mazumder, N., Chakraborty, S.: Gen. Relativ. Gravit. 42, 813 (2010)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  28. Mazumder, N., Chakraborty, S.: Eur. Phys. J. C 70, 329 (2010)

    Article  ADS  Google Scholar 

  29. Mukherjee, S., Paul, B.C., Maharaj, S.D., Beesham, A.: gr-qc/0505103 (2005)

  30. Mukherjee, S., Paul, B.C., Dadhich, N.K., Maharaj, S.D., Beesham, A.: Class. Quantum Gravity 23, 6927 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  31. Mulryne, D.J., Tavakol, R., Lidsey, J.E., Ellis, G.F.R.: Phys. Rev. D 71, 123512 (2005)

    Article  ADS  Google Scholar 

  32. Nojiri, S., Odinstov, S.D.: Gen. Relativ. Gravit. 38, 1285 (2006)

    Article  ADS  MATH  Google Scholar 

  33. Parisi, L., Bruni, M., Maartens, R., Vandersloot, K.: Class. Quantum Gravity 24, 6243 (1997)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  35. She, J.-H.: J. Cosmol. Astropart. Phys. 0702, 021 (2007)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  39. Vilenkin, A.: Phys. Rev. D 27, 2848 (1983)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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Authors and Affiliations

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

    Ujjal Debnath

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

    Surajit Chattopadhyay

Authors
  1. Ujjal Debnath
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  2. Surajit Chattopadhyay
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Correspondence to Ujjal Debnath.

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Debnath, U., Chattopadhyay, S. Generalized Second Law of Thermodynamics in Emergent Universe. Int J Theor Phys 50, 3415–3420 (2011). https://doi.org/10.1007/s10773-011-0846-3

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  • DOI: https://doi.org/10.1007/s10773-011-0846-3

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