Some Magnetized Cosmological Models In Bimetric Theory of Gavitation

Authors

  • S. S. Charjan  Department of Mathematics, K. Z. S. Science College, Bramhani, Kalmeshwar, Dist. Nagpur, Maharashtra, India

Keywords:

LRS Bianchi Type, Bimetric Theory

Abstract

In this paper in the presence of Magnetic field, LRS Bianchi Type I string dust cosmological models in Rosen’s bimetric theory of gravitation is investigated.  Also its nature is discussed in the absence of magnetic field.  To deduce a determinate solution, the condition  A = lBn where  l  and n are real constants, between the metric potentials is used.  Special model is investigated by introducing the transformation .Further the Physical and geometrical significance of the model are discussed.

References

  1. Bali and Anjali : Bianchi Type I magnetized string cosmological model in general relativity, Astrophys Space Sci., 302 (2006), 201-205.
  2. Bali and S. Dave : Bianchi Type- IX string cosmological models with bulk viscous fluid in general relativity, Astrophys. Space Sci., 288 (2003), 503-509
  3. Bali and R. D. Upadhaya : LRS Bianchi Type I string dust magnetized cosmological models, Astrophys. Space Sci., 283 (2003), 97-108.
  4. Bali and D. Singh : Bianchi Type –V bulk viscous fluid string dust cosmological model in general relativity , Astrophys.Space Sci., 300 (2005), 387-394.
  5. Bali and U.K. Pareek : Bianchi Type I String dust cosmological model with magnetic field in general relativity, Astrophys.Space Sci., 312(2007), 305-310.
  6. S. Borkar and S. S. Charjan), Bianchi Type I bulk viscous fluid string dust cosmological model with magnetic field in bimetric theory of gravitation, An Int. J. AAM 5(1), (2010), 96-109.
  7. S. Borkar and S. S. Charjan : Bianchi Type I Magnetized dust cosmological model in bimetric theory of gravitation, An Int. J. AAM 5 (2), , (2010 1660-1671.
  8. P. Gaikwad, M. S. Borkar, and S. S. Charjan ; Bianchi Type I massive string Magnetized baratropic perfect fluid cosmological model in bimetric theory of gravitation Chin. Phys. Lett. 28(8), (2011).
  9. S. Borkar , S. S. Charjan and V.V. Lepse, “ Evaluation of Bianchi Type VI0 Cosmological Models with A Binary Mixture of Perfect fluid and Dark Energyin Bimetric Theory of Gravitation” is International Journal ofApplied mathematics, ISSN: 2051-5227, Vol.28, Issue.2 DEC. 2013.
  10. S. Borkar , S. S. Charjan and V.V. Lepse, “ LRS Bianchi Type I cosmological models with Perfect fluid and Dark energy in Bimetric Theory of Gravitation IOSR Journal of Mathematics(IOSR-JM) e-ISSN:2278-5728,p-ISSN:2319-765X. Volume 10, issue 3ver. I (May-jun. 2014) PP 62-69
  11. S. Borkar , S. S. Charjan and V.V. Lepse ,“Bianchi Type –I Hyperbolic Models with Perfect Fluid and Dark Endrgy in Bimetric Theory of Gravitation , Int. J. AAM Vol.11 (1) , June 2016, pp. 192- 21
  12. W. Hawking and G.F. R. Ellis: The large scale structure of space-time, Cambridge University Press, Cambridge (1973) , P.91
  13. Isrelit : Spherically Symmetric fields in Rosen’s bimetric theories of gravitation, General Relativity and Gravitation, 13(7), (1981), 681-688.
  14. M. Karade : Spherically Symmetric Space Times in bimetric Relativity Indian J. Pure-appl. Math,11(9), (1980), 1202-1209.
  15. S .D. Katore and R.S. Rane: Magnetized cosmological models in biometric theory of gravitation, Pramana J. Phys. 67(2), (2006), 237-227.
  16. S. Khadekar and S.D. Tade : String cosmological models in five dimensional biometric theory of gravitation, Astrophys. Space Sci.DoI 10.1007\S10509-007-9410-2 (2007).
  17. D. Krori, T. Choudhuri, and C. R. Mahant: String in some Bianchi Type cosmologies, General Relativity and Gravitation 26(3), (1994), 265-274.
  18. S. Letelier : Clouds of strings in general relativity, Physical review D 20(6), (1979), 1294-1302.
  19. S. Letelier: String cosmology, Phy. review D 28(10), (1983), 2414-2419.
  20. Lichnerowicz: Relativistic Hydrodynamics and Magnetohydrodynamics , Benjamin, Newyork, (1967) P.13.
  21. R.K. Reddy and N. Venkateshwara Rao : On some Bianchi Type Cosmological Models in bimetric in theory of gravitation, Astrophys. Space Sci 257, (1998), 293- 298.
  22. Rosen: A Theory of Gravitation, Annls of Phys, 84, (1974), 455-473
  23. Rosen : A Topics in Theoretical and Experiential Gravitation Physics, edited by V. D .Sabtta and J. Weber. Plenum Press, London , (1977), pp 273-94
  24. John Stachel : Thickening the string I,The String Perfect dust, Phy. review D21(8) , (1980).
  25. K. Sahoo, B. Mishra and A. Ramu : Bianchi Types V and Vo cosmic string coupled with Maxwell fields in bimetric theory , Int. J. Theor Phys. (2010) DOI 10.1007/s 10773-010-0531-y
  26. B. Zel’dovich: Cosmological fluctuations near a singularity,Mon Not. R. Astron.Soc.192, 663-667

International Journal of Scientific Research in Science and Technology

Downloads

Published

2017-07-30

Issue

Volume 3, Issue 6, July-August-2017

Section

Research Articles

License

Copyright (c) IJSRST

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
S. S. Charjan "Some Magnetized Cosmological Models In Bimetric Theory of Gavitation" International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011,Volume 3, Issue 6, pp.919-925, July-August-2017.