Table of Contents
ISRN Mathematical Physics
Volume 2012, Article ID 341612, 15 pages
http://dx.doi.org/10.5402/2012/341612
Research Article

Bianchi Types II, VIII, and IX String Cosmological Models with Bulk Viscosity in a Theory of Gravitation

Department of Applied Mathematics, Andhra University, Visakhapatnam 530003, India

Received 24 November 2011; Accepted 25 December 2011

Academic Editor: W.-H. Steeb

Copyright © 2012 V. U. M. Rao 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. G. Lyra, “Über eine modifikation der riemannschen geometrie,” Mathematische Zeitschrift, vol. 54, pp. 52–64, 1951. View at Google Scholar
  2. H. Weyl, “Gravitation und Elektrizität,” Sitzungsberichte der Königlich Preussischen Akademie der Wissenschaften zu Berlin, vol. 465, 1918. View at Google Scholar
  3. D. K. Sen, “A static cosmological model,” Zeitschrift für Physik C, vol. 149, pp. 311–323, 1957. View at Google Scholar
  4. D. K. Sen and K. A. Dunn, “A scalar-tensor theory of gravitation in a modified Riemannian manifold,” Journal of Mathematical Physics, vol. 12, no. 4, pp. 578–586, 1971. View at Google Scholar
  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 Google Scholar
  6. P. S. Letelier, “String cosmologies,” Physical Review D, vol. 28, no. 10, pp. 2414–2419, 1983. View at Publisher · View at Google Scholar
  7. K. D. Krori, T. Chaudhury, C. R. Mahanta, and A. Mazumdar, “Some exact solutions in string cosmology,” General Relativity and Gravitation, vol. 22, no. 2, pp. 123–130, 1990. View at Publisher · View at Google Scholar
  8. P. Mahanta and A. Mukherjee, “String models in Lyra geometry,” Indian Journal of Pure and Applied Mathematics, vol. 32, no. 2, pp. 199–204, 2001. View at Google Scholar
  9. R. Bhattacharjee and K. K. Baruah, “String cosmologies with a scalar field,” Indian Journal of Pure and Applied Mathematics, vol. 32, no. 1, pp. 47–53, 2001. View at Google Scholar
  10. D. R. K. Reddy and M. V. S. Rao, “A xially symmetric cosmic strings and domain walls in Lyra geometry,” Astrophysics and Space Science, vol. 302, no. 1–4, pp. 157–160, 2006. View at Publisher · View at Google Scholar
  11. G. Mohanty and K. L. Mahanta, “Five-dimensional axially symmetric string cosmological model in Lyra manifold,” Astrophysics and Space Science, vol. 312, no. 3-4, pp. 301–304, 2007. View at Publisher · View at Google Scholar
  12. V. U. M. Rao and T. Vinutha, “Axially symmetric cosmological models in a scalar tensor theory based on Lyra manifold,” Astrophysics and Space Science, vol. 319, no. 2–4, pp. 161–167, 2009. View at Publisher · View at Google Scholar
  13. J. D. Barrow, “The deflationary universe: an instability of the de Sitter universe,” Physics Letters B, vol. 180, no. 4, pp. 335–339, 1986. View at Publisher · View at Google Scholar
  14. T. Padmanabhan and S. M. Chitre, “Viscous universes,” Physics Letters A, vol. 120, no. 9, pp. 433–436, 1987. View at Google Scholar
  15. D. Pavón, J. Bafaluy, and D. Jou, “Causal Friedmann-Robertson-Walker cosmology,” Classical and Quantum Gravity, vol. 8, no. 2, pp. 347–360, 1991. View at Google Scholar
  16. R. Martens, “Dissipative cosmology,” Classical and Quantum Gravity, vol. 12, no. 6, article 1455, 1995. View at Publisher · View at Google Scholar
  17. J. A. S Lima, A. S. M Germano, and L. R. W Abrama, “FRW-type cosmologies with adiabatic matter creation,” Physical Review D, vol. 53, pp. 4287–4297, 1996. View at Publisher · View at Google Scholar
  18. S. R. Roy and O. P. Tiwari, “Some inhomogeneous viscous fluid cosmological models of plane symmetry,” Indian Journal of Pure and Applied Mathematics, vol. 14, no. 2, pp. 233–243, 1983. View at Google Scholar
  19. G. Mohanty and R. R. Pattanaik, “Anisotropic, spatially homogeneous, bulk viscous cosmological model,” International Journal of Theoretical Physics, vol. 30, no. 2, pp. 239–244, 1991. View at Publisher · View at Google Scholar
  20. G. Mohanty and B. D. Pradhan, “Cosmological mesonic viscous fluid model,” International Journal of Theoretical Physics, vol. 31, no. 1, pp. 151–160, 1992. View at Publisher · View at Google Scholar
  21. J. K. Singh and R. Shri, “Plane-symmetric mesonic viscous fluid cosmological model,” Astrophysics and Space Science, vol. 236, no. 2, pp. 277–284, 1996. View at Google Scholar · View at Scopus
  22. J. Sing, “Some viscous fluid cosmological models,” Il Nuovo Cimento B, vol. 120, no. 12, pp. 1251–1259, 2005. View at Publisher · View at Google Scholar
  23. X.-X. Wang, “Locally rotationally symmetric bianchi type-I string cosmological model with bulk viscosity,” Chinese Physics Letters, vol. 21, no. 7, pp. 1205–1207, 2004. View at Publisher · View at Google Scholar
  24. X.-X. Wang, “Bianchi type-III string cosmological model with bulk viscosity in general relativity,” Chinese Physics Letters, vol. 22, no. 1, pp. 29–32, 2005. View at Publisher · View at Google Scholar
  25. X.-X. Wang, “Bianchi type-III string cosmological model with bulk viscosity and magnetic field,” Chinese Physics Letters, vol. 23, no. 7, pp. 1702–1704, 2006. View at Publisher · View at Google Scholar
  26. R. Bali and S. Dave, “Bianchi type-III string cosmological model with bulk viscous fluid in general relativity,” Astrophysics and Space Science, vol. 282, no. 2, pp. 461–467, 2002. View at Publisher · View at Google Scholar · View at Scopus
  27. R. Bali and A. Pradhan, “Bianchi type-III string cosmological models with time dependent bulk viscosity,” Chinese Physics Letters, vol. 24, no. 2, article 079, pp. 585–588, 2007. View at Publisher · View at Google Scholar · View at Scopus
  28. S. K. Tripathy, S. K. Nayak, S. K. Sahu, and T. R. Routray, “Bulk viscous string cosmological models with electromagnetic field,” Astrophysics and Space Science, vol. 321, no. 3-4, pp. 247–252, 2009. View at Publisher · View at Google Scholar
  29. S. K. Tripathy, D. Behera, and T. R. Routray, “Anisotropic universe with cosmic strings and bulk viscosity,” Astrophysics and Space Science, vol. 325, no. 1, pp. 93–97, 2010. View at Publisher · View at Google Scholar
  30. V. U. M. Rao, G. Sree Devi Kumari, and K. V. S. Sireesha, “Anisotropic universe with cosmic strings and bulk viscosity in a scalar-tensor theory of gravitation,” Astrophysics and Space Science, vol. 335, no. 2, pp. 635–638, 2011. View at Publisher · View at Google Scholar
  31. R. Bali and S. Dave, “Bianchi type IX string cosmological model in general relativity,” Pramana: Journal of Physics, vol. 56, no. 4, pp. 513–518, 2001. View at Google Scholar
  32. R. Bali and M. K. Yadav, “Bianchi type-IX viscous fluid cosmological model in general relativity,” Pramana: Journal of Physics, vol. 64, no. 2, pp. 187–196, 2005. View at Google Scholar
  33. D. R. K. Reddy, B. M. Patrudu, and R. Venkateswarlu, “Exact Bianchi type II, VIII and IX cosmological models in scale-covariant theory of gravitation,” Astrophysics and Space Science, vol. 204, no. 1, pp. 155–160, 1993. View at Google Scholar
  34. K. Shanthi and V. U. M. Rao, “Bianchi type-II and III models in self-creation cosmology,” Astrophysics and Space Science, vol. 179, no. 1, pp. 147–153, 1991. View at Publisher · View at Google Scholar
  35. V. U. M. Rao and Y. V. S. S. Sanyasi Raju, “Exact Bianchi-type VIII and IX models in the presence of zero-mass scalar fields,” Astrophysics and Space Science, vol. 187, no. 1, pp. 113–117, 1992. View at Publisher · View at Google Scholar
  36. Y. V. S. S. Sanyasi Raju and V. U. M. Rao, “Exact Bianchi-type VIII and IX models in the presence of the self-creation theory of cosmology,” Astrophysics and Space Science, vol. 189, no. 1, pp. 39–43, 1992. View at Google Scholar
  37. F. Rahaman, S. Chakraborty, N. Begum, M. Hossain, and M. Kalam, “Bianchi-IX string cosmological model in Lyra geometry,” Pramana: Journal of Physics, vol. 60, no. 6, pp. 1153–1159, 2003. View at Google Scholar
  38. V. U. M. Rao, M. Vijaya Santhi, and T. Vinutha, “Exact Bianchi type II, VIII and IX string cosmological models in Saez-Ballester theory of gravitation,” Astrophysics and Space Science, vol. 314, no. 1–3, pp. 73–77, 2008. View at Publisher · View at Google Scholar
  39. V. U. M. Rao, M. Vijaya Santhi, and T. Vinutha, “Exact Bianchi type-II, VIII and IX perfect fluid cosmological models in Saez-Ballester theory of gravitation,” Astrophysics and Space Science, vol. 317, no. 1-2, pp. 27–30, 2008. View at Publisher · View at Google Scholar
  40. V. U. M. Rao, M. Vijaya Santhi, and T. Vinutha, “Exact Bianchi type II, VIII and IX string cosmological models in General Relativity and self-creation theory of gravitation,” Astrophysics and Space Science, vol. 317, no. 1-2, pp. 83–88, 2008. View at Publisher · View at Google Scholar