Cosmic String in Bianchi Type-III Space-Time with Bulk Viscosity and Magnetic Field


We investigate some locally rotationally symmetric (LRS) Bianchi type-III string cosmological model in the presence of bulk viscosity and magnetic field, where an equation of state and relation between metric potential are considered. The solution describes a shearing and non-rotating model with big-bang start. In the absence of magnetic field it reduces to a string model with bulk viscosity, where the relation between the coefficient of bulk viscosity and the energy density is for a = 0.

Share and Cite:

S. Kandalkar, A. Wasnik, S. Gawande and M. Gaikwad, "Cosmic String in Bianchi Type-III Space-Time with Bulk Viscosity and Magnetic Field," International Journal of Astronomy and Astrophysics, Vol. 2 No. 4, 2012, pp. 225-229. doi: 10.4236/ijaa.2012.24029.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] T. W. B. Kibble, “Topology of Cosmic Domains and Strings,” Journal of Physics, Vol. 9, No. 8, 1976, pp. 1387-1398.
[2] A. Vilenkin, “Cosmic Strings and Other Topological Defects,” Physical Review, Vol. 121, 1985, pp. 263-296.
[3] Ya. B. Zel’dovich, “Cosmological Fluctuations Produced Near a Singularity,” Monthly Notices of the Royal Astronomical Society, Vol. 192, 1980, pp. 663-668.
[4] P. S. Letelier, “String Cosmologies,” Physical Review D, Vol. 28, 1983, pp. 2414-2419.
[5] J. Stachel, “Thickening the String. I. The String Perfect Dust,” Physical Review D, Vol. 21, 1980, pp. 2171-2181.
[6] K. D. Krori, T. Chaudhary, C. R. Mahanta and A. Muzumdar, “Some Exact Solution in String Cosmology,” General Relativity Gravitation, Vol. 22, No. 2, 1990, pp. 123-130.
[7] X. X. Wang, “Exact Solutions for String Cosmology,” Chinese Physics Letters, Vol. 20, No. 5, 2003, pp. 615-617. doi:10.1088/0256-307X/20/5/307
[8] R. Tikekar and L. K. Patel, “Some Exact Solutions of String Cosmology in Bianchi III Space-Time,” General Relativity Gravitation, Vol. 24, No. 4, 1992, pp. 397-404.
[9] S. Chakraborty and A. K. Chakraborty, “String Cosmology in Spherically Symmetric Space Time,” Journal of Mathematical Physics, Vol. 33, No. 3, 1992, pp. 2336-2338.
[10] K. D. Krori and A. Mukherjee, “Bianchi Cosmologies with Particle Creation and Bulk Viscosity,” General Relativity Gravitation, Vol. 32, No. 8, 2000, pp. 1429- 1438.
[11] T. Singh and A. Beeshan, “Bulk Viscous Cosmological Models with variable G and Lambda,” General Relativity Gravitation, Vol. 30, 1998, pp. 573-578.
[12] R. Bali and S. Dave, “Bianchi Type-III String Cosmological Models with Bulk Viscous Fluid in General Relativity,” Astrophysics and Space Science, Vol. 282, No. 1, 2002, pp. 461-467.
[13] M. A. Melvin, “Homogeneous Axial Cosmologies with Electromagnetic Fields and Dust,” Annals of the New York Academy of Sciences, Vol. 262, No. 2, 1975, pp. 253-274.
[14] A. Banerjee, A. Sanyal and S.Chakraborty, “String Cosmology in Bianchi I Space-Time,” Pramana, Journal of Physics, Vol. 34, No. 1, 1990, pp. 1-11.
[15] G. P. Singh and J. Singh, “String Cosmological Models with Magnetic Field,” General Relativity Gravitation, Vol. 31, No. 3, 1999, pp. 371-378. doi:10.1023/A:1026644828215
[16] R. Bali and R. D. Upadhaya, “L.R.S. Bianchi Type I String Dust Magnetized Cosmological Models,” Astrophysics and Space Science, Vol. 283, No. 1, 2003, pp. 97-108.
[17] S. K. Tripathy, S. K. Sahu and T. R. Routray, “String Cloud Cosmologies for Bianchi Type-III with Electromagnetic Field,” Astrophysics and Space Science, Vol. 315, No. 1-4, 2008, pp. 105-110.
[18] M. K. Yadav, A. Pradhan and S. K. Singh, “Some Magnetized Bulk Viscous String Cosmological Models in General Relativity,” Astrophysics and Space Science, Vol. 311, No. 4, 2007, pp. 423-429.
[19] R. Bali, R. Banerjee and S. K. Banerjee, “Bianchi Type VIo Magnetized Bulk Viscous Massive String Cosmological Model in General Relativity,” Astrophysics and Space Science, Vol. 317, No. 2, 2008, pp. 21-26.
[20] T. Takabayasi, “Theory of One-Dimensional Relativistic Elastic Continuum for the Model of Particles and Resonances,” Mathematical Physics and Applied Mathematics, Vol. 1, No. 1, 1976, pp. 179-216.
[21] R. Bali and K. Sharma, “Bianchi Type I Bulk Viscous Stiff Fluid Tilted Cosmological Model in General Relativity,” Astrophysics and Space Science, Vol. 275, No. 4, 2001, pp. 485-497.

Copyright © 2022 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.