Skip to main content
SpringerLink
Log in

Thermodynamical Stability of Hagedorn and Radiation Regimes in Closed String Gas Cosmology

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

Abstract

In this paper, we investigate thermal equilibrium in string gas cosmology which is dominated by closed string. We consider two interesting regimes, Hagedorn and radiation regimes. We find that for short strings in small radius of Hagedorn regime very large amount of energy requested to have thermal equilibrium but for long strings in such system a few energy is sufficient to have thermal equilibrium. On the other hand in the large radius of Hagedorn regime, which pressure is not negligible, we obtain a relation between the energy and pressure in terms of cosmic time which is satisfied by thermal equilibrium. Then we discuss about radiation regime and find that in all cases there is thermal equilibrium.

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.

Similar content being viewed by others

References

  1. Brandenberger, R., Vafa, C.: Nucl. Phys. B 316, 391 (1989)

    Article  ADS  MathSciNet  Google Scholar 

  2. Tseytlin, A.A., Vafa, C.: Nucl. Phys. B 372, 443 (1992). arXiv:hep-th/9109048

    Article  ADS  MathSciNet  Google Scholar 

  3. Tseytlin, A.A.: Class. Quantum Gravity 9, 979 (1992). arXiv:hep-th/9112004

    Article  ADS  MathSciNet  Google Scholar 

  4. Osorio, M.A., Vazquez-Mozo, M.A.: Mod. Phys. Lett. A 8, 3111 (1993). arXiv:hep-th/9305137

    Article  ADS  MathSciNet  Google Scholar 

  5. Osorio, M.A., Vazquez-Mozo, M.A.: Mod. Phys. Lett. A 8, 3215 (1993). arXiv:hep-th/9305138

    Article  ADS  MATH  MathSciNet  Google Scholar 

  6. Cleaver, G.B., Rosenthal, P.J.: Nucl. Phys. B 457, 621 (1995). arXiv:hep-th/9402088

    Article  ADS  MATH  MathSciNet  Google Scholar 

  7. Sakellariadou, M.: Nucl. Phys. B 468, 319 (1996). arXiv:hep-th/9511075

    Article  ADS  Google Scholar 

  8. Alexander, S., Brandenberger, R.H., Easson, D.: Phys. Rev. D 62, 103509 (2000). arXiv:hep-th/0005212

    Article  ADS  Google Scholar 

  9. Brandenberger, R., Easson, D.A., Kimberly, D.: Nucl. Phys. B 623, 421 (2002). arXiv:hep-th/0109165

    Article  ADS  MATH  MathSciNet  Google Scholar 

  10. Easson, D.A.: Int. J. Mod. Phys. A 18, 4295–4314 (2003). arXiv:hep-th/0110225

    Article  ADS  MATH  MathSciNet  Google Scholar 

  11. Easther, R., Greene, B.R., Jackson, M.G.: Phys. Rev. D 66, 023502 (2002). arXiv:hep-th/0204099

    Article  ADS  MathSciNet  Google Scholar 

  12. Watson, S., Brandenberger, R.H.: Phys. Rev. D 67, 043510 (2003). arXiv:hep-th/0207168

    Article  ADS  MathSciNet  Google Scholar 

  13. Easther, R., Greene, B.R., Jackson, M.G., Kabat, D.: Phys. Rev. D 67, 123501 (2003). arXiv:hep-th/0211124

    Article  ADS  MathSciNet  Google Scholar 

  14. Leblanc, Y.: Phys. Rev. D 38, 3087 (1988)

    Article  ADS  Google Scholar 

  15. Arslanargin, A., Kaya, A.: arXiv:0901.4608

  16. Danos, R., Frey, A.R., Mazumdar, A.: Phys. Rev. D 70, 106010 (2004). arXiv:hep-th/0409162

    Article  ADS  Google Scholar 

  17. Bassett, B.A., Borunda, M., Serone, M., Tsujikawa, S.: Phys. Rev. D 67, 123506 (2003). arXiv:hep-th/0301180

    Article  ADS  Google Scholar 

  18. Hagedorn, R.: Suppl. Nuovo Cimento 3, 147 (1965)

    Google Scholar 

  19. Lowe, D.A., Thorlacius, L.: Phys. Rev. D 51, 665 (1995). arXiv:hep-th/9408134

    Article  ADS  MathSciNet  Google Scholar 

  20. Gasperini, M., Veneziano, G.: Astropart. Phys. 1, 317 (1993). arXiv:hep-th/9211021

    Article  ADS  Google Scholar 

  21. Skliros, D., Hindmarsh, M.: Phys. Rev. D 78, 063539 (2008). arXiv:0712.1254v2

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Sciences Faculty, Department of Physics, Mazandaran University, P.O. Box 47416-95447, Babolsar, Iran

    J. Sadeghi, H. Farahani & B. Pourhassan

  2. Institute for Studies in Theoretical Physics and Mathematics (IPM), P.O. Box 19395-5531, Tehran, Iran

    J. Sadeghi

Authors
  1. J. Sadeghi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. Farahani
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. B. Pourhassan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to H. Farahani.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sadeghi, J., Farahani, H. & Pourhassan, B. Thermodynamical Stability of Hagedorn and Radiation Regimes in Closed String Gas Cosmology. Int J Theor Phys 50, 2317–2327 (2011). https://doi.org/10.1007/s10773-011-0714-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-011-0714-1

Keywords

Search

Navigation