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Thermodynamics of Universe with Time Varying Cosmological Term

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Abstract

The FRW-type cosmologies with time varying cosmological term is discussed within the frame work of a thermodynamic context. If at some cosmological time, the cosmological term begins increasing again, as presently observed, expansion will accelerate and matter and/or radiation will be transformed back into dark energy. It is shown that such accelerated expansion is a route towards a new kind of gravitational singular state, characterized by an empty, conformally transitive spacetime in which all energy is dark. We investigate whether dynamic dark energy cosmologies are compatible with the second law of thermodynamics. We examine also the total entropy evolution with time. We observed that the dynamic dark energy cosmology is less restricted with second law of thermodynamics. Some physical implications of these solutions are briefly discussed.

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References

  1. Riess, A.G., et al.: Astron. J. 116, 1009 (1998)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  4. Tegmark, M., et al. (SDSS Collaboration): Phys. Rev. D 69, 103501 (2004)

    ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  6. Page, L., et al.: Astrophys. J. Suppl. Ser. 148, 233 (2003)

    Article  ADS  Google Scholar 

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

  8. Steinhardt, P.J.: Critical Problems in Physics. Princeton University Press, Princeton (1997)

    Google Scholar 

  9. Sola, J., Stefancic, H.: Mod. Phys. Lett. A 21, 479 (2006)

    Article  ADS  Google Scholar 

  10. Ratra, B., Peebles, P.J.E.: Phys. Rev. D 37, 3406 (1988)

    ADS  Google Scholar 

  11. Liddle, A.R., Scherrer, R.J.: Phys. Rev. D 59, 023509 (1999)

    ADS  Google Scholar 

  12. Cadwell, R.R.: Phys. Lett. B 545, 23 (2002)

    Article  ADS  Google Scholar 

  13. Cadwell, R.R., Kamionkowski, M., Weinberg, N.N.: Phys. Rev. Lett. 91, 071301 (2003)

    Article  ADS  Google Scholar 

  14. Nojri, S., Elizalde, E., Odintsov, S.D.: Phys. Rev. D 70, 043539 (2004)

    ADS  Google Scholar 

  15. Saridakis, E.N.: Nucl. Phys. B 819, 116 (2009)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  16. Setare, M.R., Saridakis, E.N.: J. Cosmol. Astropart. Phys. 0903, 002 (2009)

    Article  ADS  Google Scholar 

  17. Feng, B., Wang, X.L., Zhang, X.M.: Phys. Lett. B 607, 35 (2005)

    Article  ADS  Google Scholar 

  18. Feng, B., Li, M., Piao, Y.S., Zhang, X.: Phys. Lett. B 634, 101 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  20. Ito, M.: Europhys. Lett. 71, 712 (2005)

    Article  ADS  Google Scholar 

  21. Pavon, D., Zimdhal, W.: Phys. Lett. B 628, 206 (2005)

    Article  ADS  Google Scholar 

  22. Boyle, L., Cadwell, R.R., Kamionkowski, M.: Phys. Lett. B 545, 17 (2002)

    Article  ADS  Google Scholar 

  23. Starobinsky, A.A.: Gravit. Cosmol. 6, 157 (2000)

    ADS  MATH  Google Scholar 

  24. Elizalde, P., Quiroga, J.: Mod. Phys. Lett. A 19, 29 (2004)

    Article  ADS  Google Scholar 

  25. Gonzalez-Diaz, P.F.: Phys. Lett. B 586, 1 (2004)

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

  28. Kamenshchik, A.Y., Moschella, U., Pasquier, V.: Phys. Lett. B 511, 265 (2001)

    Article  ADS  MATH  Google Scholar 

  29. Jacobson, T.: Phys. Rev. Lett. 75, 1260–1263 (1995)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  30. Padmanabhan, T.: Class. Quantum Gravity 19, 5387–5408 (2002)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  31. Padmanabhan, T.: Phys. Rep. 406, 49 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  32. Frolov, A.V., Kofman, L.: J. Cosmol. Astropart. Phys. 05, 009 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  33. Danielsson, U.H.: Phys. Rev. D 71, 023516 (2005)

    ADS  MathSciNet  Google Scholar 

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

    ADS  MathSciNet  Google Scholar 

  35. Akbar, M., Cai, R.G.: Phys. Rev. D 75, 084003 (2007)

    ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

  39. Fischler, W., Susskind, L.: Holography and cosmology (1998). hep-th/9806039

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

  42. Youm, D.: Phys. Rev. D 66, 043506 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  43. De Freitas Pacheco, J.A., Horvath, J.E.: Class. Quantum Gravity 24, 5427 (2007)

    Article  ADS  MATH  Google Scholar 

  44. Vishwakarma, R.G.: Class. Quantum Gravity 18, 1159 (2001)

    Article  ADS  MATH  Google Scholar 

  45. Weinberg, S.: Gravitation and Cosmology. Wiley, New York (1972)

    Google Scholar 

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

  47. Mashhoon, B., Wesson, P.S.: Class. Quantum Gravity 21, 3611 (2004)

    Article  ADS  MATH  MathSciNet  Google Scholar 

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Acknowledgement

The Author would like to express his gratitude to Prof. N. Ibotombi Singh, Manipur University for his valuable discussion and constructive comments.

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Correspondence to S. Surendra Singh.

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Singh, S.S. Thermodynamics of Universe with Time Varying Cosmological Term. Int J Theor Phys 53, 1743–1751 (2014). https://doi.org/10.1007/s10773-013-1973-9

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  • DOI: https://doi.org/10.1007/s10773-013-1973-9

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