Skip to main content
SpringerLink
Log in

Gauge-invariant gravitational wave modes in pre-big bang cosmology

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

Abstract

The t<0 branch of pre-big bang cosmological scenarios is subject to a gravitational wave instability. The unstable behaviour of tensor perturbations is derived in a very simple way in Hwang’s covariant and gauge-invariant formalism developed for extended theories of gravity. A simple interpretation of this instability as the effect of an “antifriction” is given, and it is argued that a universe must eventually enter the expanding phase.

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. M. Gasperini, Elements of String Cosmology (Cambridge University Press, Cambridge, 2007)

    Book  MATH  Google Scholar 

  2. M. Gasperini, The Universe Before the Big Bang: Cosmology and String Theory (Springer, Berlin, 2008)

    Google Scholar 

  3. M. Gasperini, G. Veneziano, Phys. Rep. 373, 1 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  4. C.G. Callan, D. Friedan, E.J. Martinec, M.J. Perry, Nucl. Phys. B 262, 593 (1985)

    Article  MathSciNet  ADS  Google Scholar 

  5. E.S. Fradkin, A.A. Tseytlin, Nucl. Phys. B 261, 1 (1985)

    Article  MathSciNet  ADS  Google Scholar 

  6. A.A. Tseytlin, Mod. Phys. Lett. A 6, 1721 (1991)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  7. G. Veneziano, Phys. Lett. B 265, 287 (1991)

    Article  MathSciNet  ADS  Google Scholar 

  8. J.M. Bardeen, Phys. Rev. D 22, 1882 (1980)

    Article  MathSciNet  ADS  Google Scholar 

  9. G.F.R. Ellis, M. Bruni, Phys. Rev. D 40, 1804 (1989)

    Article  MathSciNet  ADS  Google Scholar 

  10. G.F.R. Ellis, J.-C. Hwang, M. Bruni, Phys. Rev. D 40, 1819 (1989)

    Article  MathSciNet  ADS  Google Scholar 

  11. G.F.R. Ellis, M. Bruni, J.-C. Hwang, Phys. Rev. D 42, 1035 (1990)

    Article  MathSciNet  ADS  Google Scholar 

  12. J.-C. Hwang, E.T. Vishniac, Astrophys. J. 353, 1 (1990)

    Article  MathSciNet  ADS  Google Scholar 

  13. J.-C. Hwang, Class. Quantum Gravity 7, 1613 (1990)

    Article  ADS  Google Scholar 

  14. J.-C. Hwang, Phys. Rev. D 42, 2601 (1990)

    Article  MathSciNet  ADS  Google Scholar 

  15. J.-C. Hwang, Class. Quantum Gravity 8, 195 (1990)

    Article  ADS  Google Scholar 

  16. J.-C. Hwang, Phys. Rev. D 53, 762 (1996)

    Article  ADS  Google Scholar 

  17. J.-C. Hwang, Class. Quantum Gravity 14, 1981 (1997)

    Article  MATH  ADS  Google Scholar 

  18. J.-C. Hwang, H. Noh, Phys. Rev. D 54, 1460 (1996)

    Article  ADS  Google Scholar 

  19. H. Noh, J.-C. Hwang, Phys. Lett. B 515, 231 (2001)

    Article  MATH  ADS  Google Scholar 

  20. V. Faraoni, Phys. Rev. D 70, 044037 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  21. V. Faraoni, Phys. Rev. D 70, 081501(R) (2004)

    MathSciNet  ADS  Google Scholar 

  22. V. Faraoni, Phys. Rev. D 72, 061501(R) (2005)

    MathSciNet  ADS  Google Scholar 

  23. G. Cognola, E. Elizalde, S. Nojiri, S.D. Odintsov, S. Zerbini, J. Cosmol. Astropart. Phys. 0502, 010 (2005)

    MathSciNet  Google Scholar 

  24. V. Faraoni, S. Nadeau, Phys. Rev. D 72, 124005 (2005)

    Article  ADS  Google Scholar 

  25. G. Cognola, S. Zerbini, J. Phys. A 39, 6245 (2006)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  26. V. Faraoni, M.N. Jensen, Class. Quantum Gravity 23, 3005 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  27. V. Faraoni, Phys. Rev. D 75, 067302 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  28. G. Cognola, S. Zerbini, arXiv:0802.3967

  29. G. Cognola, M. Gastaldi, S. Zerbini, Int. J. Theor. Phys. 47, 898 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  30. T.P. Sotiriou, V. Faraoni, Rev. Mod. Phys. 82, 451 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  31. PLANCK homepage. http://www.rssd.esa.int/index.php?project=Planck

Download references

Author information

Authors and Affiliations

  1. Physics Department, Bishop’s University, 2600 College Street, Sherbrooke, Québec, J1M 1Z7, Canada

    Valerio Faraoni

Authors
  1. Valerio Faraoni
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Valerio Faraoni.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Faraoni, V. Gauge-invariant gravitational wave modes in pre-big bang cosmology. Eur. Phys. J. C 70, 363–366 (2010). https://doi.org/10.1140/epjc/s10052-010-1445-9

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s10052-010-1445-9

Keywords

Search

Navigation