About this Journal Submit a Manuscript Table of Contents
Advances in Mathematical Physics
Volume 2013 (2013), Article ID 416294, 5 pages
http://dx.doi.org/10.1155/2013/416294
Research Article

Anisotropic Bianchi Type-III Bulk Viscous Fluid Universe in Lyra Geometry

Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, Uttar Pradesh 221 005, India

Received 22 December 2012; Accepted 10 February 2013

Academic Editor: Shao-Ming Fei

Copyright © 2013 Priyanka Kumari et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. H. Weyl, Sitzungsberichte Der Preussischen Akademie Der Wissenschaften, 1918.
  2. G. Lyra, “Über eine modifikation der riemannschen geometrie,” Mathematische Zeitschrift, vol. 54, pp. 52–64, 1951. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. D. K. Sen, “A static cosmological model,” Zeitschrift für Physik C, vol. 149, pp. 311–323, 1957. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. W. D. Halford, “Cosmological theory based Lyra’s geometry,” Australian Journal of Physics, vol. 23, pp. 863–869, 1970.
  5. W. D. Halford, “Scalar-tensor theory of gravitation in a Lyra manifold,” Journal of Mathematical Physics, vol. 13, no. 11, pp. 1699–1703, 1972. View at Publisher · View at Google Scholar · View at Scopus
  6. H. H. Soleng, “Cosmologies based on Lyra's geometry,” General Relativity and Gravitation, vol. 19, no. 12, pp. 1213–1216, 1987. View at Publisher · View at Google Scholar · View at MathSciNet
  7. F. Hoyle, “A new model for the expanding universe,” Monthly Notices of the Royal Astronomical Society, vol. 108, pp. 372–382, 1948. View at Zentralblatt MATH
  8. F. Hoyle and J. V. Narlikar, “On the avoidance of singularities in C-field cosmology,” Proceedings of the Royal Society A, vol. 278, pp. 465–478, 1964. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  9. F. Hoyle and J. V. Narlikar, “Time symmetric electrodynamics and the arrow of time in cosmology,” Proceedings of the Royal Society A, vol. 277, pp. 1–23, 1964. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  10. A. Beesham, “FLRW cosmological models in Lyra's manifold with time dependent displacement field,” Australian Journal of Physics, vol. 41, no. 6, pp. 833–842, 1988. View at MathSciNet
  11. T. Singh and G. P. Singh, “Lyra's geometry and cosmology: a review,” Fortschritte der Physik, vol. 41, no. 8, pp. 737–764, 1993. View at Publisher · View at Google Scholar · View at MathSciNet
  12. S. Chakraborty and A. Ghosh, “Generalized scalar tensor theory in four and higher dimension,” International Journal of Modern Physics D, vol. 9, no. 5, pp. 543–549, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  13. F. Rahaman and J. Bera, “Higher-dimensional cosmological model in Lyra geometry,” International Journal of Modern Physics D, vol. 10, no. 5, pp. 729–733, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  14. F. Rahaman, S. Chakraborty, and J. Bera, “Inhomogeneous cosmological model in Lyra geometry,” International Journal of Modern Physics D, vol. 11, no. 9, pp. 1501–1504, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  15. F. Rahaman, N. Begum, G. Bag, and B. C. Bhui, “Cosmological models with negative constant deceleration parameter in Lyra geometry,” Astrophysics and Space Science, vol. 299, no. 3, pp. 211–218, 2005. View at Publisher · View at Google Scholar · View at Scopus
  16. A. Pradhan and A. K. Vishwakarma, “A new class of LRS Bianchi type-I cosmological models in Lyra geometry,” Journal of Geometry and Physics, vol. 49, no. 3-4, pp. 332–342, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  17. S. Ram and P. Singh, “Anisotropic cosmological models of Bianchi types III and IV in Lyra's geometry,” International Journal of Theoretical Physics, vol. 31, no. 12, pp. 2095–2102, 1992. View at Publisher · View at Google Scholar · View at MathSciNet
  18. A. Pradhan, V. K. Yadav, and I. Chakrabarty, “Bulk viscous FRW cosmology in Lyra geometry,” International Journal of Modern Physics D, vol. 10, no. 3, pp. 339–349, 2001. View at Publisher · View at Google Scholar · View at Scopus
  19. A. Pradhan, V. Rai, and S. Otarod, “Plane symmetric inhomogeneous bulk viscous domain wall in Lyra geometry,” Fizika B, vol. 15, pp. 57–70, 2006.
  20. S. Ram, M. Zeyauddin, and C. P. Singh, “Anisotropic Bianchi type V perfect fluid cosmological models in Lyra's geometry,” Journal of Geometry and Physics, vol. 60, no. 11, pp. 1671–1680, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  21. A. Pradhan, “Cylindrically symmetric viscous fluid universe in Lyra geometry,” Journal of Mathematical Physics, vol. 50, Article ID 022501, 13 pages, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  22. A. Pradhan, “Thick domain walls in lyra geometry with bulk viscosity,” Communications in Theoretical Physics, vol. 51, no. 2, pp. 378–384, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  23. G. Mohanty, K. L. Mahanta, and R. R. Sahoo, “Non-existence of five dimensional perfect fluid cosmological model in Lyra manifold,” Astrophysics and Space Science, vol. 306, no. 4, pp. 269–272, 2006. View at Publisher · View at Google Scholar · View at Scopus
  24. R. Bali and N. K. Chandnani, “Bianchi type V barotropic perfect fluid cosmological model in Lyra geometry,” International Journal of Theoretical Physics, vol. 48, no. 5, pp. 1523–1533, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  25. R. Bali and N. K. Chandnani, “Bianchi type-III bulk viscous dust filled universe in Lyra geometry,” Astrophysics and Space Science, vol. 318, no. 3-4, pp. 225–230, 2008. View at Publisher · View at Google Scholar · View at Scopus
  26. V. K. Yadav and L. Yadav, “Bianchi type-III bulk viscous and barotropic perfect fluid cosmological models in Lyra's geometry,” International Journal of Theoretical Physics, vol. 50, no. 5, pp. 1382–1394, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  27. A. Mazumder, “Solutions of LRS Bianchi I space-time filled with a perfect fluid,” General Relativity and Gravitation, vol. 26, no. 3, pp. 307–310, 1994. View at Publisher · View at Google Scholar · View at MathSciNet
  28. M. K. Verma and S. Ram, “Bulk viscous Bianchi type-III cosmological model with time-dependent G and Λ,” International Journal of Theoretical Physics, vol. 49, no. 4, pp. 693–700, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  29. S. Weinberg, Gravitational and Cosmology, Wiley, New York, NY, USA, 1972.
  30. G. L. Murphy, “Big-bang model without singularities,” Physical Review D, vol. 8, no. 12, pp. 4231–4233, 1973. View at Publisher · View at Google Scholar · View at Scopus
  31. R. G. Vishwakarma, “Is the present expansion of the Universe really accelerating?” Monthly Notices of the Royal Astronomical Society, vol. 345, no. 2, pp. 545–551, 2003. View at Publisher · View at Google Scholar · View at Scopus