Skip to main content

Tilted Bianchi Type-III Cosmological Models In Lyra Geometry

Abstract

Tilted Bianchi-III cosmologicalmodel is investigated in the frame work of Lyra (Math. Z. 54:52, 1951) Geometry. Exact solutions to the field equations are derived when the metric potentials are functions of cosmic time only. Some physical and geometrical properties of the solutions are also discussed.

This is a preview of subscription content, access via your institution.

References

  1. Lyra, G.: Math. Z 54, 52 (1951)

    Article  MATH  MathSciNet  Google Scholar 

  2. King, A.R., Ellis, G.F.R.: Commun. Math. Phys. 31, 209 (1973)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  3. Ellis, G.F.R., King, A.R.: Commun. Math. Phys. 38, 119 (1974)

    Article  ADS  MathSciNet  Google Scholar 

  4. Collins, C.B., Ellis, G.F.R.: Phys. Rep. 56, 65 (1979)

    Article  ADS  MathSciNet  Google Scholar 

  5. Bali, R., Sharma, K.: Astrophys. Space Sci. 271, 227 (2000)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  6. Bali, R., Sharma, K.: Pramana 58(3), 457 (2002)

    Article  ADS  Google Scholar 

  7. Bali, R., Meena, B.L.: Astrophys. Space Sci. 281, 565 (2002)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  8. Sahu, S.K.: Int. J. Theor. Phys. 50, 3368 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  9. Sahu, S.K.: J. Mod. Phys. 1, 67 (2010)

    Article  Google Scholar 

  10. Weyl, H.: Math. Z 2(3–4), 384 (1918)

    Article  MATH  MathSciNet  Google Scholar 

  11. Sen, D.K.Z.: Physica 149, 311 (1975)

    Google Scholar 

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

  13. Mohanty, G., Mahanta, K.L., Bishi, B.K.: Astrophys. Space Sci. 310, 273 (2007)

    Article  ADS  Google Scholar 

  14. Mohanty, G., Mahanta, K.L., Sahoo, R.R.: Astrophys. Space Sci. 306, 269 (2006)

    Article  ADS  Google Scholar 

  15. Singh, T., Singh, G.P.: J. Math. Phys. 32(9), 2456 (1991)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  16. Singh, C.P.: Pramana 68(5), 707 (2007)

    Article  ADS  Google Scholar 

  17. Ram, S., Singh, J.K.: Nuovo Cimento 112(B), 1157 (1997)

    Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  19. Hoyle, F., Narlikarr, J.V.: Proc. R. Soc. Lond. Ser. A Math. Phys. Sci 282, 178 (1964)

    Article  ADS  Google Scholar 

  20. Mohanty, G., Sahu, S.K., Sahoo, P.K.: Commun. Phys. 14(2), 84 (2004)

    Google Scholar 

  21. Mohanty, G., Sahu, S.K.: Theor. Appl. Mech. 26, 59 (2001)

    MATH  Google Scholar 

  22. Mohanty, G., Sahu, S.K.: Astrophys. Space Sci. 291, 75 (2004)

    Article  ADS  Google Scholar 

  23. Sahu, S.K.: Commun. Phys. 16(4), 216 (2006)

    MathSciNet  Google Scholar 

  24. Sahu, S.K., Tapas, K.: Int. J. Theor. Phys. 52, 793 (2013)

    Article  MATH  Google Scholar 

  25. Tripathy, S.K., Nayak, S.K., Sahu, S.K., Routray, T.R.: Int. J. Theor. Phys. 48, 213 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  26. Tripathy, S.K., Nayak, S.K., Sahu, S.K., Routray, T.R.: Astrophys. Space Sci. 323, 281 (2009)

    Article  ADS  Google Scholar 

  27. Adhav, K.S.: Int. J. Astron. Astrophys 1, 204 (2011)

    Article  Google Scholar 

  28. Ellis, G.F.R. In: Sachs, R.K (ed.) General Relativity and Cosmology, p 116. Academic Press, New York (1971)

Download references

Acknowledgments

The authors would like to convey his sincere thanks and gratitude to the anonymous referees for their useful and kind suggestions for the improvement of this paper.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Subrata Kumar Sahu.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Sahu, S.K., Dalecha, T.T. & Welay, K. Tilted Bianchi Type-III Cosmological Models In Lyra Geometry. Int J Theor Phys 54, 807–811 (2015). https://doi.org/10.1007/s10773-014-2273-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-014-2273-8

Keywords

  • Stiff fluid
  • Tilted cosmological model
  • Lyra geometry