Full Paper View Go Back

Bianchi Type I Bulk Viscous Fluid String Dust Magnetized Cosmological Model with Λ-Term in Bimetric Theory of Gravitation

S. S. Charjan1 , P. R. Dhongle2 , M. S. Borkar3

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.3 , pp.35-40, Jun-2019


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i3.3540


Online published on Jun 30, 2019


Copyright © S. S. Charjan, P. R. Dhongle, M. S. Borkar . 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.
 

View this paper at   Google Scholar | DPI Digital Library


XML View     PDF Download

How to Cite this Paper

  • IEEE Citation
  • MLA Citation
  • APA Citation
  • BibTex Citation
  • RIS Citation

IEEE Style Citation: S. S. Charjan, P. R. Dhongle, M. S. Borkar, “Bianchi Type I Bulk Viscous Fluid String Dust Magnetized Cosmological Model with Λ-Term in Bimetric Theory of Gravitation,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.3, pp.35-40, 2019.

MLA Style Citation: S. S. Charjan, P. R. Dhongle, M. S. Borkar "Bianchi Type I Bulk Viscous Fluid String Dust Magnetized Cosmological Model with Λ-Term in Bimetric Theory of Gravitation." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.3 (2019): 35-40.

APA Style Citation: S. S. Charjan, P. R. Dhongle, M. S. Borkar, (2019). Bianchi Type I Bulk Viscous Fluid String Dust Magnetized Cosmological Model with Λ-Term in Bimetric Theory of Gravitation. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(3), 35-40.

BibTex Style Citation:
@article{Charjan_2019,
author = {S. S. Charjan, P. R. Dhongle, M. S. Borkar},
title = {Bianchi Type I Bulk Viscous Fluid String Dust Magnetized Cosmological Model with Λ-Term in Bimetric Theory of Gravitation},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {6 2019},
volume = {6},
Issue = {3},
month = {6},
year = {2019},
issn = {2347-2693},
pages = {35-40},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1321},
doi = {https://doi.org/10.26438/ijcse/v6i3.3540}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i3.3540}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1321
TI - Bianchi Type I Bulk Viscous Fluid String Dust Magnetized Cosmological Model with Λ-Term in Bimetric Theory of Gravitation
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - S. S. Charjan, P. R. Dhongle, M. S. Borkar
PY - 2019
DA - 2019/06/30
PB - IJCSE, Indore, INDIA
SP - 35-40
IS - 3
VL - 6
SN - 2347-2693
ER -

399 Views    275 Downloads    110 Downloads
  
  

Abstract :
Bianchi Type I bulk viscous fluid string dust magnetized cosmological model with cosmological constant term have been evaluated by solving Rosen’s field equations. The cosmological constant plays the important role and it affects the physical behavior of the model in the presence as well as in the absence of both the magnetic field and the bulk viscosity. The model is studied for the positive, negative and zero values of cosmological constant. Further in special cases, the physical and geometrical aspects of the model are studied in the absence of magnetic field and in the absence of bulk viscosity.

Key-Words / Index Term :
Bimetric Theory, Bulk Viscous Fluid, Cosmic String, Magnetic Field, Bianchi Type I

References :
[1] N. Rosen, “A Theory of Gravitation”, Annals of Phys., Vol. 84, pp. 455-473, 1974.
[2] N. Rosen, “Topics in Theoretical and Experiential Gravitation Physics”, edited by V. D. Sabtta and J. Weber, Plenum Press, London, pp. 273-294, 1977.
[3] T. M. Karade, “Spherically Symmetric Space Times in Bimetric Relativity Theory I”, Indian J. Pure-appl. Math., Vol. 11, Issue 9, pp. 1202-1209, 1980.
[4] S. D. Katore, R. S. Rane, “Magnetized Cosmological Models in Bimetric Theory of Gravitation”, Pramana J. Phys., Vol. 67, Issue 2, pp. 227-237, 2006.
[5] M. Isrelit, “Spherically Symmetric Fields in Rosen’s Bimetric Theories of Gravitation”, General Relativity and Gravitation, Vol. 13, Issue 7, pp. 681-688, 1981.
[6] G. S. Khadekar, S. D. Tade, “String Cosmological Models in Five Dimensional Bimetric Theory of Gravitation”, Astrophys. Space Sci., Vol. 310, Issue 1, pp. 47-51, 2007.
[7] D. R. K. Reddy, N. V. Rao, “On Some Bianchi Type Cosmological Models in Bimetric Theory of Gravitation”, Astrophys. Space Sci., Vol. 257, pp. 293-298, 1998.
[8] K. D. Krori, T. Choudhuri, C. R. Mahanta, “String in Some Bianchi Type Cosmologies”, General Relativity and Gravitation, Vol. 26, Issue 3, pp. 265-274, 1994.
[9] M. S. Borkar, P. R. Dhongle, “Bianchi Type I String Dust Model with Magnetic Field in Stationary Space-time”, Int. J. Applied Math., Vol. 23, Issue 6, pp. 977-988, 2010.
[10] R. Bali, S. Dave, “Bianchi Type – IX String Cosmological Models with Bulk Viscous Fluid in General Relativity”, Astrophys. Space Sci., Vol. 288, pp. 503-509, 2003.
[11] R. Bali, R. D. Upadhaya, “LRS Bianchi Type I String Dust Magnetized Cosmological Models”, Astrophys. Space Sci., Vol. 283, pp. 97-108, 2003.
[12] R. Bali, D. Singh, “Bianchi Type – V Bulk Viscous Fluid String Dust Cosmological Model in General Relativity”, Astrophys. Space Sci., Vol. 300, pp. 387-394, 2005.
[13] R. Bali, Anjali, “Bianchi Type I Bulk Viscous Fluid String Dust Magnetized Cosmological Model in General Relativity”, Pramana- J. of Physics, Vol. 63, Issue 3, pp. 481-490, 2004.
[14] R. Bali, U. K. Pareek, “Bianchi Type I String Dust Cosmological Model with Magnetic Field in General Relativity”, Astrophys. Space Sci., Vol. 312, pp. 305-310, 2007.
[15] M. S. Borkar, S. S. Charjan, “Bianchi Type I String Dust Cosmological Model with Magnetic Field in Bimetric Relativity”, Int. J. Applied Math., Vol. 22, Issue 3, pp. 445-456, 2009.
[16] M. S. Borkar, S. S. Charjan, “The Charged Perfect Fluid Distribution in Bimetric Theory of Relativity”, J. Ind. Acad. Math., Vol. 32, Issue 1, pp. 147-152, 2010.
[17] M. S. Borkar, S. S. Charjan, “LRS Bianchi Type I String Dust Magnetized Cosmological Models in Bimetric Theory of Relativity”, Tensor N. S., Vol. 71, Issue 2, pp. 155-162, 2010.
[18] M. S. Borkar, S. S. Charjan, “Bianchi Type I Magnetized Cosmological Model in Bimetric Theory of Gravitation”, An Int. J. AAM, Vol. 5, Issue 10, pp. 1660-1671, 2010.
[19] M. S. Borkar, S. S. Charjan, “Bianchi Type I Magnetized Cosmological Model with - term in Bimetric Theory of Gravitation”, An Int. J. AAM, Vol. 8, Issue 10, pp. 116- 127, 2013.
[20] N. P. Gaikwad, M. S. Borkar, S. S. Charjan, “Bianchi Type I Massive String Magnetized Baratropic Perfect Fluid Cosmological Model in Bimetric Theory of Gravitation”, Chin. Phys. Lett., Vol. 28, Issue 8, pp. 089803-1-4, 2011.
[21] P. S. Letelier, “Clouds of Strings in General Relativity”, Physical review, D 20(6), pp. 1294-1302, 1979.
[22] P. S. Letelier, “String Cosmology”, Physical review, D 28(10), pp. 2414-2419, 1983.
[23] J. Stachel, “Thickening the String I, The String Perfect Dust”, Physical Review, D 21(8), pp. 2171-2181, 1980.
[24] A. Pradhan, M. K. Yadav, A. Rai, “Some Bianchi Type III String Cosmological Models with Bulk Viscosity”, Int. J. Theor. Phys., Vol. 46, Issue 11, pp. 2774-2787, 2007.
[25] A. Pradhan, M. K. Yadav, S. K. Singh, “Some Magnetized Bulk Viscous String Cosmological Models in General Relativity”, Astrophys. Space Sci., Vol. 311, pp. 423-429, 2007.
[26] A. Pradhan, “Some Magnetized Bulk Viscous String Cosmological Models in Cylindrically Symmetric Inhomogeneous Universe with Variable - term”, Comm. Theor. Phys., Vol. 51, Issue 2, pp. 367-374, 2009.
[27] X. X. Wang, “Bianchi Type I String Cosmological Models with Bulk Viscosity and Magnetic Field”, Astrophys. Space Sci., Vol. 293, pp. 433-440, 2004.
[28] X. X. Wang, “Bianchi Type III String Cosmological Models with Bulk Viscosity and Magnetic Field”, Chin. Phys. Lett., Vol. 23, pp. 1702-1704, 2006.
[29] M. S. Borkar, 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 , Vol. 5, Issue 1, pp. 96-109, 2010.
[30] A. Lichnerowicz, “Relativistic Hydrodynamics and Magneto-hydrodynamics”, Benjamin, New York, pp.13. 1967.
[31] Y. B. Zel’dovich, “Cosmological Fluctuations near Singularity”, Mon. Not. R. Astron. Soc., Vol. 192, pp. 663 – 667, 1980.

Authorization Required

 

You do not have rights to view the full text article.
Please contact administration for subscription to Journal or individual article.
Mail us at  support@isroset.org or view contact page for more details.

Go to Navigation