Skip to main content
Log in

Kantowski-Sachs and Bianchi type models with a general non-canonical scalar field

  • Published:
Gravitation and Cosmology Aims and scope Submit manuscript

Abstract

The paper deals with spatially homogeneous and anisotropic Kantowski-Sachs and Bianchi universes with a general non-canonical scalar field with the Lagrangian L = F(X) − Ω(ϕ), where \(X = \frac{1}{2}{\phi _i}{\phi ^i}\). We discuss a general non-canonical scalar field in three different cosmologies: (i) cosmology with a constant potential, Ω(ϕ) = Ω0 = const, (ii) cosmology with a constant equation-of-state parameter, i.e., γϕ = const, and (iii) cosmology with a constant speed of sound, i.e., c s 2 = const. For a constant potential, we have shown that the k-essence Lagrangian and the Lagrangian of the present model are equivalent. Dissipation of anisotropy, when the universe is filled with a general non-canonical scalar field, is investigated. The existence of an average bounce in Kantowski-Sachs and locally rotationally symmetric Bianchi-I and Bianchi-III models is discussed in detail.

This is a preview of subscription content, log in via an institution to check access.

Access this article

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. A. G. Riess et al., Astroph. J 607, 655 (2004).

    Article  ADS  Google Scholar 

  2. D. N. Spergel et al., Astroph. J Suppl. 148, 175 (2003).

    Article  ADS  Google Scholar 

  3. M. Tegmark et al., Phys. Rev. D 69, 103501 (2004).

    Article  ADS  Google Scholar 

  4. S. Perlmutter et al., Astroph. J. 517, 565 (1999)

    Article  ADS  Google Scholar 

  5. S. Perlmutter et al., Astroph. J. 598, 102 (2003).

    Article  ADS  Google Scholar 

  6. P. J. Steinhardt et al., Phys.Rev.D 59, 123504 (1999).

    Article  ADS  Google Scholar 

  7. R. R. Cadwell et al., Phys. Rev. Lett. 80, 1582 (1998).

    Article  ADS  Google Scholar 

  8. J. M. Aguirregabiria et al., Phys. Rev. D 70, 023509 (2004).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  10. A. Melchiorri et al., Phys. Rev. D 68, 043509 (2003).

    Article  ADS  Google Scholar 

  11. J. Garriga and V. F. Mukhanov, Phys.Lett. B 458, 219 (1999).

    Article  ADS  MathSciNet  Google Scholar 

  12. C. Armendariz-Picon et al., Phys. Rev. Lett. 85, 4438 (2000).

    Article  ADS  Google Scholar 

  13. C. Armendariz-Picon et al., Phys. Rev. D 63, 103510 (2001).

    Article  ADS  Google Scholar 

  14. T. Chiba, Phys. Rev. D 66, 063514 (2002).

    Article  ADS  Google Scholar 

  15. T. Chiba et al., Phys. Rev. D 62, 023511 (2000).

    Article  ADS  Google Scholar 

  16. M. Malquarti et al., Phys. Rev. D 67, 123503 (2003).

    Article  ADS  MathSciNet  Google Scholar 

  17. L. P. Chimento, Phys. Rev. D 69, 123517 (2004).

    Article  ADS  MathSciNet  Google Scholar 

  18. L. P. Chimento and M. Forte, Phys.Rev.D 73, 063502 (2006).

    Article  ADS  Google Scholar 

  19. A. Vikman, Phys. Rev. D 71, 023515 (2005).

    Article  ADS  Google Scholar 

  20. M. Li et al., JCAP 0512, 002 (2005).

    Article  ADS  Google Scholar 

  21. A. Anisimov et al., JCAP 0506, 006 (2005).

    Article  ADS  Google Scholar 

  22. T. Singh, R. Chaubey, and Ashutosh Singh, Can. J. Phys. 93, 1319 (2015).

    Article  ADS  Google Scholar 

  23. W. Fang et al., Class. Quantum Grav. 24, 3799 (2007).

    Article  ADS  Google Scholar 

  24. T. Singh, R. Chaubey, and Ashutosh Singh, Int. J. Mod. Phys. A 30, 1550073 (2015).

    Article  ADS  Google Scholar 

  25. D. Solomons, P. K. S. Dunsby, and G. F. R. Ellis, arXiv: gr-qc/0103087.

  26. H.Q. Lu, Int. J. Mod. Phys. D 14, 355 (2005).

    Article  ADS  Google Scholar 

  27. T. Singh, R. Chaubey, and Ashutosh Singh, Eur. Phys. J. Plus 130, 31 (2015).

    Article  Google Scholar 

  28. S. Carloni, P. K. S. Dunsby, and D. Solomons, Class. Quantum Grav. 23, 1913 (2006).

    Article  ADS  Google Scholar 

  29. T. Singh, R. Chaubey, and Ashutosh Singh, Can. J. Phys. 94, 623 (2016).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to T. Singh.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Singh, T., Chaubey, R. & Singh, A. Kantowski-Sachs and Bianchi type models with a general non-canonical scalar field. Gravit. Cosmol. 23, 195–200 (2017). https://doi.org/10.1134/S0202289317020104

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0202289317020104

Navigation