Table of Contents
ISRN Astronomy and Astrophysics
Volume 2013, Article ID 543483, 5 pages
http://dx.doi.org/10.1155/2013/543483
Research Article

Axially Symmetric Bulk Viscous String Cosmological Models in GR and Brans-Dicke Theory of Gravitation

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

Received 5 August 2013; Accepted 25 September 2013

Academic Editors: G. Bothun, H. Dehnen, and H. Zhao

Copyright © 2013 V. U. M. Rao and D. Neelima. 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. C. Brans and R. H. Dicke, “Mach's principle and a relativistic theory of gravitation,” Physical Review, vol. 124, no. 3, pp. 925–935, 1961. View at Publisher · View at Google Scholar · View at Scopus
  2. D. R. K. Reddy and V. U. M. Rao, “Field of a charged particle in Brans-Dicke theory of gravitation,” Journal of Physics A, vol. 14, p. 1973, 1981. View at Publisher · View at Google Scholar
  3. D. R. K. Reddy and V. U. M. Rao, “Field of a charged particle in the presence of scalar meson fields in general relativity,” The Journal of the Australian Mathematical Society B, vol. 24, p. 461, 1983. View at Publisher · View at Google Scholar
  4. T. Singh and L. N. Rai, “Scalar-tensor theories of gravitation: foundations and prospects,” General Relativity and Gravitation, vol. 15, no. 9, pp. 875–902, 1983. View at Publisher · View at Google Scholar
  5. V. U. M. Rao, T. Vinutha, M. V. Shanthi, and K. V. S. Sireesha, “Exact Bianchi type-V perfect fluid cosmological models in Brans-Dicke theory of gravitation,” Astrophysics and Space Science, vol. 315, no. 1–4, pp. 211–214, 2008. View at Publisher · View at Google Scholar · View at Scopus
  6. R. K. Tiwari, “Bianchi type-V cosmological models with constant deceleration parameter in scalar-tensor theory,” Fizika B, vol. 18, no. 1, pp. 9–18, 2009. View at Google Scholar
  7. 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
  8. G. Lyra, “Über eine modifikation der riemannschen geometrie,” Mathemastische Zeitschrift, vol. 54, no. 1, pp. 52–64, 1951. View at Publisher · View at Google Scholar
  9. V. U. M. Rao, M. Vijaya Santhi, T. Vinutha, and G. Sreedevi Kumari, “LRS Bianchi Type-I dark energy cosmological model in Brans-Dicke theory of gravitation,” International Journal of Theoretical Physics, vol. 51, no. 10, pp. 3303–3310, 2012. View at Publisher · View at Google Scholar
  10. V. U. M. Rao and D. Neelima, “Axially symmetric space-time with strange Quark matter attached to string cloud in self creation theory and general relativity,” International Journal of Theoretical Physics, vol. 52, no. 2, pp. 354–361, 2013. View at Publisher · View at Google Scholar
  11. M. S. Berman, “A special law of variation for Hubble's parameter,” Il Nuovo Cimento B Series 11, vol. 74, no. 2, pp. 182–186, 1983. View at Publisher · View at Google Scholar · View at Scopus
  12. S. D. Katore and A. Y. Shaikh, “Cosmological model with strange Quark matter attached to cosmic string for axially symmetric space-time,” International Journal of Theoretical Physics, vol. 51, no. 6, pp. 1881–1888, 2012. View at Publisher · View at Google Scholar
  13. V. U. M. Rao and K. V. S. Sireesha, “Axially symmetric space-time with strange Quark matter attached to string cloud in Brans-Dicke theory of gravitation,” International Journal of Theoretical Physics, vol. 52, no. 4, pp. 1052–1060, 2013. View at Publisher · View at Google Scholar
  14. V. U. M. Rao and K. V. S. Sireesha, “Bianchi Type-II, VIII & IX cosmological models with strange Quark matter attached to string cloud in Brans-Dicke and general theory of gravitation,” International Journal of Theoretical Physics, vol. 52, no. 4, pp. 1240–1249, 2013. View at Publisher · View at Google Scholar
  15. P. S. Letelier, “String cosmologies,” Physical Review D, vol. 28, no. 10, pp. 2414–2419, 1983. View at Publisher · View at Google Scholar · View at Scopus
  16. K. D. Krori, T. Chaudhuri, C. R. Mahanta, and A. Majumdar, “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
  17. 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
  18. 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
  19. V. U. M. Rao, T. Vinutha, and K. V. S. Sireesha, “Axially symmetric string cosmological models in Brans-Dicke theory of gravitation,” Astrophysics and Space Science, vol. 323, no. 4, pp. 401–405, 2009. View at Publisher · View at Google Scholar · View at Scopus
  20. V. U. M. Rao and K. V. S. Sireesha, “Axially symmetric perfect fluid cosmological models in Brans-Dicke scalar tensor theory of gravitation,” The African Review of Physics, vol. 7, Article ID 0042, 2012. View at Google Scholar
  21. V. U. M. Rao and M. Vijaya Santhi, “Bianchi type-II, VIII & IX perfect fluid magnetized cosmological models in Brans-Dicke theory of gravitation,” Astrophysics and Space Science, vol. 337, no. 1, pp. 387–392, 2012. View at Publisher · View at Google Scholar
  22. V. U. M. Rao, G. Sree Devi Kumari, and K. V. S. Sireesha, “Anisotropic universe with csomic strings and bulk viscosity in a scalar-tensor theory of gravitation,” Astrophysics and Space Science, vol. 335, pp. 635–638, 2011. View at Google Scholar
  23. V. U. M. Rao, K. V. S. Sireesha, and M. Vijaya Santhi, “Bianchi Types II, VIII, and IX string cosmological models with bulk viscosity in a theory of gravitation,” ISRN Mathematical Physics, vol. 2012, Article ID 341612, 15 pages, 2012. View at Publisher · View at Google Scholar
  24. V. U. M. Rao and K. V. S. Sireesha, “A higher-dimensional string cosmological model in a scalar-tensor theory of gravitation,” The European Physical Journal Plus, vol. 127, article 33, 2012. View at Publisher · View at Google Scholar
  25. V. U. M. Rao and K. V. S. Sireesha, “Bianchi Types II, VIII and IX string cosmological models with bulk viscosity in brans-dicke theory of gravitation,” International Journal of Theoretical Physics, vol. 51, no. 10, pp. 3013–3020, 2012. View at Publisher · View at Google Scholar
  26. V. U. M. Rao and K. V. S. Sireesha, “Axially symmetric string cosmological model with bulk viscosity in self-creation theory of gravitation,” The European Physical Journal Plus, vol. 127, article 49, 2012. View at Publisher · View at Google Scholar
  27. S. Perlmutter, G. Aldering, G. Goldhaber et al., “Measurements of O and Λ from 42 high-redshift supernovae,” The Astrophysical Journal, vol. 517, no. 2, p. 565, 1999. View at Publisher · View at Google Scholar
  28. A. G. Reiss, A. V. Filippenko, P. Challis et al., “Observational evidence from supernovae for an accelerating universe and a cosmological constant,” The Astrophysical Journal, vol. 116, pp. 1009–1038, 1998. View at Google Scholar
  29. A. G. Riess, R. P. Kirshner, B. P. Schmidt et al., “BVRI light curves for 22 type Ia supernovae,” The Astronomical Journal, vol. 117, p. 707, 1999. View at Publisher · View at Google Scholar
  30. A. G. Riess, L.-G. Strolger, J. Tonry et al., “Type Ia supernova discoveries at z >1 from the Hubble Space Telescope: evidence for past deceleration and constraints on dark energy evolution,” The Astrophysical Journal, vol. 607, p. 665, 2004. View at Publisher · View at Google Scholar