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The European Physical Journal C

, Volume 59, Issue 4, pp 755–759 | Cite as

Can the universe fragment into many independent causal patches at turnaround in cyclic cosmology?

  • Xin ZhangEmail author
Letter

Abstract

Infinitely cyclic cosmology is often frustrated by the second law of thermodynamics which dictates that the entropy increases from cycle to cycle so that extrapolation into the past will lead back to an initial singularity. It has been argued in the literature that the entropy problem can be resolved in a particular cyclic universe model through a deflation mechanism (i.e., the universe fragments into an astronomically large number of disconnected causal patches at the turnaround). We point out that in this cyclic model the Hubble distance will become infinity at the turnaround; thus the deflation scenario does not seem to be valid.

Keywords

Dark Energy Hubble Parameter Friedmann Equation Initial Singularity Phantom Energy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    A. Ashtekar, AIP Conf. Proc. 861, 3 (2006). gr-qc/0605011 CrossRefADSGoogle Scholar
  2. 2.
    A. Ashtekar, T. Pawlowski, P. Singh, Phys. Rev. D 73, 124038 (2006). gr-qc/0604013 CrossRefADSMathSciNetGoogle Scholar
  3. 3.
    A. Ashtekar, T. Pawlowski, P. Singh, Phys. Rev. D 74, 084003 (2006). gr-qc/0607039 CrossRefADSMathSciNetGoogle Scholar
  4. 4.
    L. Baum, P.H. Frampton, Phys. Rev. Lett. 98, 071301 (2007). hep-th/0610213 CrossRefADSMathSciNetGoogle Scholar
  5. 5.
    M. Bojowald, Phys. Rev. Lett. 100, 221301 (2008). arXiv:0805.1192 [gr-qc] CrossRefADSMathSciNetGoogle Scholar
  6. 6.
    L.A. Boyle, P.J. Steinhardt, N. Turok, Phys. Rev. D 70, 023504 (2004). hep-th/0403026 CrossRefADSMathSciNetGoogle Scholar
  7. 7.
    M.G. Brown, K. Freese, W.H. Kinney, J. Cosmol. Astropart. Phys. 0803, 002 (2008). astro-ph/0405353 CrossRefADSGoogle Scholar
  8. 8.
    R.R. Caldwell, Phys. Lett. B 545, 23 (2002). astro-ph/9908168 CrossRefADSGoogle Scholar
  9. 9.
    R.R. Caldwell, M. Kamionkowski, N.N. Weinberg, Phys. Rev. Lett. 91, 071301 (2003). astro-ph/0302506 CrossRefADSGoogle Scholar
  10. 10.
    J. Khoury, B.A. Ovrut, P.J. Steinhardt, N. Turok, Phys. Rev. D 64, 123522 (2001). hep-th/0103239 CrossRefADSMathSciNetGoogle Scholar
  11. 11.
    E.W. Kolb, M.S. Turner, The Early Universe (Addison–Wesley, Reading, 1990) zbMATHGoogle Scholar
  12. 12.
    L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999). hep-th/9906064 zbMATHCrossRefADSMathSciNetGoogle Scholar
  13. 13.
    L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999). hep-ph/9905221 zbMATHCrossRefADSMathSciNetGoogle Scholar
  14. 14.
    M. Sami, P. Singh, S. Tsujikawa, Phys. Rev. D 74, 043514 (2006). gr-qc/0605113 CrossRefADSMathSciNetGoogle Scholar
  15. 15.
    Y. Shtanov, V. Sahni, Phys. Lett. B 557, 1 (2003). gr-qc/0208047 CrossRefADSGoogle Scholar
  16. 16.
    P. Singh, K. Vandersloot, G.V. Vereshchagin, Phys. Rev. D 74, 043510 (2006). gr-qc/0606032 CrossRefADSGoogle Scholar
  17. 17.
    P.J. Steinhardt, N. Turok, Science 296, 1436 (2002) CrossRefADSMathSciNetGoogle Scholar
  18. 18.
    P.J. Steinhardt, N. Turok, Phys. Rev. D 65, 126003 (2002). hep-th/0111098 CrossRefADSMathSciNetGoogle Scholar
  19. 19.
    P.J. Steinhardt, N. Turok, Science 312, 1180 (2006). astro-ph/0605173 CrossRefADSMathSciNetGoogle Scholar
  20. 20.
    R.C. Tolman, Phys. Rev. 38, 1758 (1931) zbMATHCrossRefGoogle Scholar
  21. 21.
    R.C. Tolman, Relativity, Thermodynamics and Cosmology (Oxford University Press, New York, 1934) Google Scholar
  22. 22.
    H.H. Xiong, Y.F. Cai, T. Qiu, Y.S. Piao, X.M. Zhang, Phys. Lett. B 666, 212 (2008). arXiv:0805.0413 [astro-ph] CrossRefADSGoogle Scholar
  23. 23.
    X. Zhang, arXiv:0708.1408 [gr-qc]

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2008

Authors and Affiliations

  1. 1.Department of Physics, College of SciencesNortheastern UniversityShenyangPeople’s Republic of China

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