Massive String Cosmological Model for Ferfect Fluid Distribution with Cosmological Term ? In Bimetric Theory of Gravitation

Authors

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

Keywords:

Bimetric Gravitational Theory, Electromagnetic Field, Cosmology

Abstract

Massive string magnetized cosmological model for perfect fluid  distribution with cosmological term  is deduced by solving Rosen’s field equations. To deduce a determinate solution, the condition A =Bn(where,n> 0 real constants), between the metric potentials is used. It is seen that Massive string Bianchi Type I magnetized cosmological model (36) in bimetric theory of gravitation exists. It never goes to vacuum model . When , then ,  and when , then , . This confirms that the model is expanding as well as shearing. The expansion and the shear in the model increases as cosmic time  increases. Further when , then , . When   then  and , which shows that our model goes over to vacuum model, when the cosmic time  is minus infinity. In the special case, in the absence of magnetic field i.e., ,  it is seen that, our model (36) exists.  Also the expansion and shear in the model increases, as the cosmic time  increases.

References

  1. R. Bali and Anjali : Bianchi Type I magnetized string cosmological model in general relativity, Astrophys Space Sci.,302 (2006), 201-205.
  2. R. 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. R. Bali and R. D. Upadhaya : LRS Bianchi Type I string dust magnetized cosmological models, Astrophys. Space Sci., 283 (2003), 97-108.
  4. R. 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. R. 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. M. 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. AAM5(1), (2010), 96-109.
  7. M. 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) p.p. 1660-1671.
  8. N. 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. M. S. Borkar, S. S. Charjan, LRS Bianchi Type I Magnetized Cosmological Model with --Term in Bimetric Theory of Gravitation, American Journal of Pure Applied Mathematics, 2(1), Jan.2013 pp.7-12
  10. M. S. Borkar, S. S. Charjan, Bianchi Type I Magnetized Cosmological Model with --Term in Bimetric Theory of Gravitation, An Int. J. AAM 8 (1), (June 2013 (116-127).
  11. M. S. Borkar, S. S. Charjan, 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. 10(3) Ver. I (May-Jun. 2014), PP 62-69 www.iosrjournals.org www.iosrjournals.org
  12. Borkar, S.S. Charjan and V.V. Lepse, Bianchi Type-I Hyperbolic Models with Perfect Fluid and Dark Energy in Bimetric Theory of Gravitation, An Int. J. AAM 11 (1),(June 2016), pp. 192 - 214
  13. S.W. Hawking and G.F. R. Ellis: The large scale structure of space-time, Cambridge University Press, Cambridge (1973) , P.91
  14. M. Isrelit : Spherically Symmetric fields in Rosen’s bimetric theories of gravitation, General Relativity and Gravitation, 13(7), (1981), 681-688.
  15. T. M. Karade : Spherically Symmetric Space Times in bimetric Relativity Indian J. Pure-appl. Math,11(9), (1980), 1202-1209.
  16. S .D. Katore and R.S. Rane: Magnetized cosmological models in biometric theory of gravitation, Pramana J. Phys.67(2), (2006), 237-227.
  17. G.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).
  18. K. D. Krori, T. Choudhuri, and C. R. Mahant: String in some Bianchi Type cosmologies, General Relativity and Gravitation26(3), (1994), 265-274.
  19. P. S. Letelier : Clouds of strings in general relativity, Physical reviewD 20(6), (1979), 1294-1302.
  20. P. S. Letelier: String cosmology, Phy. reviewD 28(10), (1983), 2414-2419.
  21. S.N. Pandey and R.Tiwari, Indian J. pure appl. Maths, 12(2) : 261-264 (Feb.1981)
  22. D.R.K. Reddy and N. Venkateshwara Rao : On some Bianchi Type Cosmological models in bimetric theory of gravitation, Astrophys. Space Sci257, (1998), 1293-298
  23. N. Rosen: A Theory of Gravitation, Annls of Phys, 84, (1974), 455-473
  24. N. Rosen : A Topics in Theoretical and Experiential Gravitation Physics, edited by V. D .Sabtta and J. Weber. Plenum Press, London , (1977), pp 273-94
  25. John Stachel : Thickening the string I,The String Perfect dust, Phy. reviewD21(8) , (1980).
  26. P. 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

Downloads

Published

2018-04-30

Issue

Section

Research Articles

How to Cite

[1]
S. S. Charjan "Massive String Cosmological Model for Ferfect Fluid Distribution with Cosmological Term ? In Bimetric Theory of Gravitation" International Journal of Scientific Research in Science, Engineering and Technology (IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 4, Issue 4, pp.1602-1610, March-April-2018.