Skip to main content
SpringerLink
Log in

\({f(\mathcal R)}\) quantum cosmology

  • Research Article
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

We have quantized a flat cosmological model in the context of the metric \({f(\mathcal R)}\) models, using the causal Bohmian quantum theory. The equations are solved and then we have obtained how the quantum corrections influence the classical equations.

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. Sotiriou T.P. and Liberati S. (2007). Ann. Phys. 322: 935

    Article  MATH  MathSciNet  ADS  Google Scholar 

  2. Carroll S.M., Duvvuri V., Trodden M. and Turner M.S. (2004). Phys. Rev. D. 70: 043528

    Article  ADS  Google Scholar 

  3. Vollick D.N. (2003). Phys. Rev. D. 68: 063510

    Article  ADS  Google Scholar 

  4. Abdalla M.C.B., Nojiri A. and Odintsov S.D. (2005). Class. Quant. Grav. 22(5): L35

    Article  MATH  MathSciNet  ADS  Google Scholar 

  5. Meng X. and Wang P. (2005). Class. Quant. Grav. 22(1): 23

    Article  MATH  MathSciNet  ADS  Google Scholar 

  6. Meng X. and Wang P. (2004). Class. Quant. Grav. 21(4): 951

    Article  MATH  MathSciNet  ADS  Google Scholar 

  7. Clifton T. and Barrow J.D. (2005). Phys. Rev. D. 72: 103005

    Article  MathSciNet  ADS  Google Scholar 

  8. Clifton T. (2006). Class. Quant. Grav. 23: 7445

    Article  MATH  MathSciNet  ADS  Google Scholar 

  9. Kainulainen K., Piilonen J., Reijonen V. and Sunhede D. (2007). Phys. Rev. D. 76: 024020

    Article  MathSciNet  ADS  Google Scholar 

  10. Sanyal A.K. and Modak B. (2002). Class. Quant. Grav. 19: 515

    Article  MATH  MathSciNet  ADS  Google Scholar 

  11. Kasper U. (1993). Class. Quant. Grav. 22: 869

    Article  MathSciNet  ADS  Google Scholar 

  12. de-Broglie L. (1927). J. de Phys. 5: 225

    Google Scholar 

  13. de-Broglie L. (1987). Annales de la Fondation Louis de Broglie 12: 4

    Google Scholar 

  14. Bohm D. (1952). Phys. Rev. 85(2): 166

    Article  MathSciNet  ADS  Google Scholar 

  15. Bohm D. (1952). Phys. Rev. 85(2): 180

    Article  MathSciNet  ADS  Google Scholar 

  16. Bohm D. and Hiley B.J. (1993). The Undivided Universe. Routledge, London

    Google Scholar 

  17. Dürr D., Goldstein S. and Zanghì N. (1996). Bohmian mechanics as the foundation of quantum mechanics. In: Cushing, J.T., Fine, A., and Goldstein, S. (eds) Bohmian Mechanics and Quantum Theory: An Appraisal. Kluwer, Dordrecht

    Google Scholar 

  18. Tumulka R. (2004). Am. J. Phys. 72(9): 1220

    Article  MathSciNet  ADS  Google Scholar 

  19. Holland P.R. (1993). The Quantum Theory of Motion. Cambridge University Press, London

    Google Scholar 

  20. Shojai F. and Golshani M. (1998). Int. J. Mod. Phys. A. 13(4): 677

    Article  MATH  MathSciNet  ADS  Google Scholar 

  21. Shojai F., Shojai A. and Golshani M. (1998). Mod. Phys. Lett. A. 13(36): 2915

    Article  MathSciNet  ADS  Google Scholar 

  22. Shojai F., Shojai A. and Golshani M. (1998). Mod. Phys. Lett. A. 13(34): 2725

    Article  MathSciNet  ADS  Google Scholar 

  23. Shojai A., Shojai F. and Golshani M. (1998). Mod. Phys. Lett. A. 13(37): 2965

    Article  MathSciNet  ADS  Google Scholar 

  24. Shojai A. (2000). Int. J. Mod. Phys. A. 15(12): 1757

    Article  MATH  MathSciNet  ADS  Google Scholar 

  25. Shojai F. and Shojai A. (2000). Int. J. Mod. Phys. A. 15(13): 1895

    Article  MathSciNet  Google Scholar 

  26. Shojai F. and Shojai A. (2006). Understanding Quantum Theory in Terms of Geometry, A Chapter of the Book: New Topics in Quantum Physics Research. Nova Science Publishers, New York

    Google Scholar 

  27. Souza J. and Faraoni V. (2007). Class. Quant. Grav. 24: 3637

    Article  MATH  ADS  Google Scholar 

  28. Wald R.M. (1984). General Relativity. The University of Chicago Press, Chicago

    MATH  Google Scholar 

  29. Ferraris, M., Francaviglia, M., Volovich, I.: Arxive: gr-qc/9303007

  30. Pinto-Neto N. and Santini E.S. (1999). Phys. Rev. D. 59: 123517

    Article  MathSciNet  ADS  Google Scholar 

  31. Shojai A. and Shojai F. (2004). Class. Quant. Grav. 21: 1

    Article  MATH  MathSciNet  ADS  Google Scholar 

  32. Shojai F. and Shojai A. (2001). JHEP 05: 037

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, University of Tehran, Tehran, Iran

    Ali Shojai & Fatimah Shojai

Authors
  1. Ali Shojai
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Fatimah Shojai
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Fatimah Shojai.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shojai, A., Shojai, F. \({f(\mathcal R)}\) quantum cosmology. Gen Relativ Gravit 40, 1967–1980 (2008). https://doi.org/10.1007/s10714-008-0617-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10714-008-0617-5

Keywords

Search

Navigation