Table of Contents
ISRN Mathematical Physics
Volume 2012, Article ID 573967, 8 pages
http://dx.doi.org/10.5402/2012/573967
Research Article

Bianchi Types II, VIII, and IX String Cosmological Models in Brans-Dicke Theory of Gravitation

Department of Applied Mathematics, Andhra University, Andhra Pradesh Visakhapatnam 530 003, India

Received 7 August 2011; Accepted 20 September 2011

Academic Editors: J. Bičák, G. Cleaver, and W.-H. Steeb

Copyright © 2012 V. U. M. Rao and M. Vijaya Santhi. 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. H. 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. 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
  3. H. Nariai, “Hamiltonian Approach to the Dynamics of Expanding Homogeneous Universes in the Brans-Dicke Cosmology,” Progress of Theoretical Physics, vol. 47, no. 6, pp. 1824–1943, 1972. View at Google Scholar
  4. V. A. Belinskii and I. M. Khalatnikov, “Effect of Scalar and Vector Fields on the Nature of the Cosmological Singularity,” Soviet Physics—JETP, vol. 36, no. 4, pp. 591–597, 1973. View at Google Scholar
  5. 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, no. 8, pp. 1973–1976, 1981. View at Publisher · View at Google Scholar
  6. A. Banerjee and N. O. Santos, “Bianchi type-II cosmological models in Brans-Dicke theory,” Nuovo Cimento B, vol. 67, no. 1, pp. 31–40, 1982. View at Publisher · View at Google Scholar
  7. S. Ram, “Spatially homogeneous and anisotropic cosmological solution in Brans-Dicke theory,” General Relativity and Gravitation, vol. 15, no. 7, pp. 635–640, 1983. View at Publisher · View at Google Scholar
  8. S. Ram and D. K. Singh, “Exact Bianchi type VI0 cosmological solutions with matter in Brans-Dicke theory,” Astrophysics and Space Science, vol. 103, no. 1, pp. 21–26, 1984. View at Publisher · View at Google Scholar
  9. M. S. Berman, M. M. Som, and F. D. M. Gomide, “Brans-Dicke static universes,” General Relativity and Gravitation, vol. 21, no. 3, pp. 287–292, 1989. View at Publisher · View at Google Scholar
  10. D. R. K. Reddy, “A string cosmological model in Brans-Dicke theory of gravitation,” Astrophysics and Space Science, vol. 286, no. 3-4, pp. 365–371, 2003. View at Publisher · View at Google Scholar · View at Scopus
  11. D. R. K. Reddy and R. L. Naidu, “Five dimensional string cosmological models in a scalar-tensor theory of gravitation,” Astrophysics and Space Science, vol. 307, no. 4, pp. 395–398, 2007. View at Publisher · View at Google Scholar · View at Scopus
  12. K. S. Adhav, A. S. Nimkar, M. R. Ugale, and M. V. Dawande, “N-dimensional string cosmological model in Brans-Dicke theory of gravitation,” Astrophysics and Space Science, vol. 310, no. 3-4, pp. 231–235, 2007. View at Publisher · View at Google Scholar · View at Scopus
  13. 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
  14. T. W. B. Kibble, “Topology of cosmic domains and strings,” Journal of Physics A, vol. 9, no. 8, article 029, pp. 1387–1398, 1976. View at Publisher · View at Google Scholar · View at Scopus
  15. A. Vilenkin, “Cosmic strings,” Physical Review D, vol. 24, no. 8, pp. 2082–2089, 1981. View at Publisher · View at Google Scholar
  16. J. R. Gott, APJ, vol. 288, p. 422, 1985.
  17. P. S. Latelier, “The numbers game,” Physical Review D, vol. 28, p. 2414, 1983. View at Google Scholar
  18. J. Stachel, “Thickening the string. I. The string perfect dust,” Physical Review D, vol. 21, no. 8, pp. 2171–2181, 1980. View at Publisher · View at Google Scholar · View at Scopus
  19. 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 · View at Scopus
  20. A. Banarjee, A. K. Sanayal, and S. Chakraborti, “String cosmology in higher dimensional spherically symmetric space-time,” Pramana—Journal of Physics, vol. 34, p. 1, 1990. View at Google Scholar
  21. R. Tikekar and L. K. Patel, “Some exact solutions of string cosmology in Bianchi III space-time,” General Relativity and Gravitation, vol. 24, no. 4, pp. 397–404, 1992. View at Google Scholar
  22. 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
  23. A. A. Sen, “Non-static local string in Brans-Dicke theory,” Pramana—Journal of Physics, vol. 55, no. 3, pp. 369–374, 2000. View at Google Scholar · View at Scopus
  24. A. Barros, A. A. Sen, and C. Romero, “Circular cosmic string loop in Brans-Dicke theory,” Brazilian Journal of Physics, vol. 31, no. 3, pp. 507–510, 2001. View at Google Scholar · View at Scopus
  25. A. Banerjee, N. Banerjee, and A. A. Sen, “Static and nonstatic global string,” Physical Review D, vol. 53, no. 10, pp. 5508–5512, 1996. View at Google Scholar · View at Scopus
  26. C. Gundlach and M. E. Ortiz, “Jordan-Brans-Dicke cosmic strings,” Physical Review D, vol. 42, no. 8, pp. 2521–2526, 1990. View at Publisher · View at Google Scholar · View at Scopus
  27. A. Barros and C. Romero, “Cosmic vacuum strings and domain walls in Brans-Dicke theory of gravity,” Journal of Mathematical Physics, vol. 36, no. 10, pp. 5800–5804, 1995. View at Google Scholar · View at Scopus
  28. A. Pradhan, “Magnetized string cosmological model in cylindrically-symmetric inhomogeneous universe with variable cosmological term Λ,” Fizika B, vol. 16, no. 4, pp. 205–222, 2007. View at Google Scholar
  29. G. Mohanty, G. C. Samanta, and K. L. Mahanta, “Amorphous polymeric nitrogen—toward equation of state,” Fizika B, vol. 18, no. 1, p. 1, 2009. View at Google Scholar
  30. S. Chakraborty, “A study on Bianchi-IX cosmological model,” Astrophysics and Space Science, vol. 180, no. 2, pp. 293–303, 1991. View at Publisher · View at Google Scholar · View at Scopus
  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 · View at Scopus
  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 Publisher · View at Google Scholar · View at Scopus
  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 Google Scholar
  35. V. U. M. Rao and Y. V. S. S. Sanyasiraju, “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. Sanyasiraju 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 Publisher · 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 · View at Scopus
  38. D. K. Sen, “A static cosmological model,” Zeitschrift für Physik, vol. 149, no. 3, pp. 311–323, 1957. View at Publisher · View at Google Scholar · View at Scopus
  39. G. Lyra, “Über eine Modifikation der Riemannschen Geometrie,” Mathematische Zeitschrift, vol. 54, no. 1, pp. 52–64, 1951. View at Publisher · View at Google Scholar
  40. V. U. M. Rao, M. V. Santhi, and T. Vinutha, “Exact Bi-anchi 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 Google Scholar
  41. V. U. M. Rao, M. V. 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 · View at Scopus
  42. V. U. M. Rao, M. V. 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 · View at Scopus