Skip to main content
SpringerLink
Log in

A New Class of Bianchi Cosmological Models in Lyra’s Geometry

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

Abstract

The new class of cosmological model of the early Universe filled with perfect fluid in Lyra’s geometry has been considered. We obtain two classes of exact solutions of the field equations in Lyra’s geometry with a time-dependent displacement vector. The exact solutions to the corresponding field equations are obtained in quadrature form. The cosmological parameters have been discussed in detail and it is also shown that the solutions tend asymptotically to isotropic Friedmann-Robertson-Walker cosmological model. We have also discussed the well-known astrophysical phenomena, namely the Hubble parameter H(z), luminosity distance d L and distance modulus μ(z) with redshift.

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. Weyl, H.: Math. Z. 54, 52 (1951)

    Article  MathSciNet  Google Scholar 

  2. Lyra, G.: Z. Phys. 149, 311 (1951)

    Google Scholar 

  3. Singh, T., Singh, G.P.: J. Math. Phys. 32, 2456 (1991)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. Singh, T., Singh, G.P.: Fortschr. Phys. 41, 737 (1993)

    MathSciNet  Google Scholar 

  5. Sen, D.K., Dunn, K.A.: J. Math. Phys. 12, 578 (1971)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. Halford, W.D.: J. Math. Phys. 13, 1399 (1972)

    Article  Google Scholar 

  7. Bhamara, K.S.: Aust. J. Phys. 27, 541 (1974)

    Article  ADS  Google Scholar 

  8. Karade, T.M., Borikar, S.M.: Gen. Relativ. Gravit. 9, 431 (1978)

    Article  MathSciNet  ADS  Google Scholar 

  9. Reddy, D.R.K., Innaiah, P.: Astrophys. Space Sci. 136, 191 (1987)

    Article  ADS  Google Scholar 

  10. Soleng, H.H.: Gen. Relativ. Gravit. 19, 1213 (1987)

    Article  MathSciNet  ADS  Google Scholar 

  11. Hoyle, F.: Mon. Not. R. Astron. Soc. 108, 252 (1948)

    ADS  Google Scholar 

  12. Hoyle, F., Narlikar, J.V.: Pro. R. Soc. Lond. Ser. A 273, 1 (1963)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. Hoyle, F., Narlikar, J.V.: Pro. R. Soc. Lond. Ser. A 282, 178 (1964)

    Article  MathSciNet  ADS  Google Scholar 

  14. Beesham, A.: Aust. J. Phys. 41, 833 (1988)

    MathSciNet  ADS  Google Scholar 

  15. Singh, T., Singh, G.P.: Nuovo Cimento B 106, 617 (1991)

    Article  ADS  Google Scholar 

  16. Singh, T., Singh, G.P.: Int. J. Theor. Phys. 31, 1433 (1992)

    Article  Google Scholar 

  17. Singh, G.P., Desikan, K.: Pramana J. Phys. 49, 205 (1997)

    Article  ADS  Google Scholar 

  18. Ram, S., Singh, P.: Int. J. Theor. Phys. 31, 2095 (1992)

    Article  MathSciNet  Google Scholar 

  19. Singh, C.P.: Astrophys. Space Sci. 275, 377 (2003)

    Article  ADS  Google Scholar 

  20. Pradhan, A., Vishwakarma, A.K.: J. Geom. Phys. 49, 332 (2004)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  21. Rahaman, F., Begum, N., Bag, G., Bhui, B.C.: Astrophys. Space Sci. 299, 211 (2005)

    Article  ADS  Google Scholar 

  22. Kumar, S., Singh, C.P.: Int. J. Mod. Phys. A 23, 813 (2008)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  23. Singh, G.P., Kale, A.Y.: Int. J. Theor. Phys. 48, 2095 (2009)

    Google Scholar 

  24. Ram, S., Zeyauddin, M., Singh, C.P.: J. Geom. Phys. 60, 3049 (2010)

    Article  MathSciNet  Google Scholar 

  25. Chaubey, R.: Int. J. Theor. Phys. (2012). doi:10.1007/s10773-012-1285-5

    Google Scholar 

  26. Coley, A.A.: Dynamical Systems and Cosmology. Kluwer Academic, Dordrecht (2003)

    MATH  Google Scholar 

  27. Nilsson, U.S., Uggla, C., Wainwright, J., Lim, W.C.: Appl. J. Lett. 522, L1 (1999)

    Article  ADS  Google Scholar 

  28. Sen, D.K.: Z. Phys. 149, 311 (1971)

    ADS  Google Scholar 

  29. Akarsu, O., Dereli, T.: Int. J. Theor. Phys. 51, 612 (2012)

    Article  MATH  Google Scholar 

  30. Collins, C.B., Hawking, S.W.: Astrophys. J. 180, 317 (1973)

    Article  MathSciNet  ADS  Google Scholar 

  31. Chiba, T., Nakamura, T.: Prog. Theor. Phys. 100, 1077 (1998)

    Article  ADS  Google Scholar 

  32. Sahni, V.: arXiv:astro-ph/0211084 (2002)

  33. Blandford, R.D., Amin, M., Baltz, E.A., Mandel, K., Marshall, P.L.: arXiv:astro-ph/0408279 (2004)

  34. Visser, M.: Class. Quantum Gravity 21, 2603 (2004)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  35. Visser, M.: Gen. Relativ. Gravit. 37, 1541 (2005)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  36. Riess, A.G., et al. (Supernova Search Team): Astrophys. J. 607, 665 (2004)

    Article  ADS  Google Scholar 

  37. Astier, P., et al. (SNLS): Astron. Astrophys. 447, 31 (2006)

    Article  ADS  Google Scholar 

  38. Rapetti, D., Allen, S.W., Amin, M.A., Blandford, R.D.: Mon. Not. R. Astron. Soc. 375, 1510 (2007)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. DST-Centre for Interdisciplinary Mathematical Sciences, Faculty of Science, Banaras Hindu University, Varanasi, India

    R. Chaubey & A. K. Shukla

Authors
  1. R. Chaubey
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. K. Shukla
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to R. Chaubey.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chaubey, R., Shukla, A.K. A New Class of Bianchi Cosmological Models in Lyra’s Geometry. Int J Theor Phys 52, 735–749 (2013). https://doi.org/10.1007/s10773-012-1382-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-012-1382-5

Keywords

Search

Navigation