Skip to main content
SpringerLink
Log in

Cylindrically symmetric cosmological model in the presence of bulk stress with varying Λ

  • Published:
Pramana Aims and scope Submit manuscript

Abstract

Cylindrically symmetric non-static space–time is investigated in the presence of bulk stress given by Landau and Lifshitz. To get a solution, a supplementary condition between metric potentials is used. The viscosity coefficient of the bulk viscous fluid is assumed to be a power function of mass density whereas the coefficient of shear viscosity is considered as proportional to the scale of expansion in the model. Also some physical and geometrical properties of the model are discussed.

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. Y K Lau, Aust. J. Phys. 38(4), 547 (1985)

    Article  ADS  Google Scholar 

  2. M Dersarkissian, Nuovo Cimento B 88, 29 (1985)

    Article  ADS  Google Scholar 

  3. B Ratra and P J E Peebles, Phys. Rev. D 37, 3406 (1998)

    Article  ADS  Google Scholar 

  4. V Sahini and A Starobinsky, Int. J. Mod. Phys. D 9, 373; gr-qc /9904398 (2000)

  5. P J E Peebles and B Ratra, Rev. Mod. Phys. 75, 559 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  6. J P Sing, A Pradhan and A K Singh, Astrophys. Space Sci. 314, 83 (2008)

    Article  ADS  Google Scholar 

  7. G P Singh and A Y Kale, Int. J. Theor. Phys. 48, 1177 (2009)

    Article  MathSciNet  Google Scholar 

  8. M K Verma and Shri Ram, Int. J. Theor. Phys. 49, 693 (2010)

    Article  Google Scholar 

  9. M K Verma and Shri Ram, Adv. Stud. Theor. Phys. 5(8), 387 (2011)

    Google Scholar 

  10. A Pradhan, L S Yadav and L T Yadav, ARDN J. Sci. Technol. 3(4), 422 (2013)

    Google Scholar 

  11. A Pradhan and S Lata, Elect. J. Theor. Phys. 8(25), 153 (2011)

    Google Scholar 

  12. S Weinberg, Astrophys. J. 168, 175 (1971)

    Article  ADS  Google Scholar 

  13. M Heller and Z Klimek, Astrophys. Space Sci. 53, 37 (1975)

    Google Scholar 

  14. C W Misner, Nature 214, 40 (1967)

    Article  ADS  Google Scholar 

  15. C W Misner, Astrophys. J. 151, 431 (1968)

    Article  ADS  Google Scholar 

  16. C B Collins and J M Stewart, Mon. Not. R. Astron. Soc. 153, 419 (1971)

    Article  ADS  Google Scholar 

  17. Xing Xiang Wang, Astrophys. Space Sci. XXX, 1 (2004)

  18. R Bali and S Dave, Pramana – J. Phys. 56, 513 (2001)

    Article  ADS  Google Scholar 

  19. K S Adhav, A S Nimkar, M R Ugale and V B Raut, Fizilea B 18(2), 55 (2009)

    Google Scholar 

  20. M K Verma and Shri Ram, Appl. Math. 2, 348 (2011)

    Article  MathSciNet  Google Scholar 

  21. K S Adhav, V G Mete, A S Nimkar and A M Pund, Int. J. Theor. Phys. 47, 2314 (2008)

    Article  MathSciNet  Google Scholar 

  22. S D Katore and R S Rane, Astrophys. Space Sci. 330, 151 (2009)

    Google Scholar 

  23. V G Mete, V D Elkar and V S Bawane, Multilogic Sci. III(VIII), 34 (2014)

    Google Scholar 

  24. S Bhattacharya and T M Karade, Astrophys. Space Sci. 202, 69 (1993)

    Article  ADS  MathSciNet  Google Scholar 

  25. S W Hawking and G F R Ellis, Large scale structure of space time (Cambridge University Press, London, 1976)

    MATH  Google Scholar 

  26. D Pavon, J Bafaluy and D Jou, Class. Quantum Gravit. 8, 357 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  27. R Maartens, Class Quantum Gravit. 12(6), 1455 (1995)

    Article  ADS  MathSciNet  Google Scholar 

  28. W Zimdahl, Phys. Rev. D 53, 5483 (1996)

    Article  ADS  Google Scholar 

  29. S Weinberg, Gravitation and cosmology (Wiley, New York, 1972)

    Google Scholar 

  30. N O Santos, R S Dias and A Banerjee, J. Math. Phys. 26, 878 (1985)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Acknowledgements

The authors are thankful to the referee for the valuable suggestion for improving this paper to its present form. One of the author (V D Elkar) is grateful to the University Grants Commission, New Delhi, India for providing fellowship under F.I.P.

Author information

Authors and Affiliations

  1. Department of Mathematics, R.D.I.K. & K.D. College, Badnera-Amravati, 444 701, India

    V G METE

  2. Department of Mathematics, Dr R.G. Rathod Arts and Science College, Murtizapur, 444 107, India

    A S NIMKAR

  3. Department of Mathematics, J.D. Patil Sangludkar Mahavidyalaya, Daryapur, 444 803, India

    V D ELKAR

Authors
  1. V G METE
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A S NIMKAR
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V D ELKAR
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V G METE.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

METE, V.G., NIMKAR, A.S. & ELKAR, V.D. Cylindrically symmetric cosmological model in the presence of bulk stress with varying Λ. Pramana - J Phys 87, 47 (2016). https://doi.org/10.1007/s12043-016-1235-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12043-016-1235-5

Keywords

PACS Nos

Search

Navigation