Magnetized Anti-stiff fluid Cosmological Models with Variable Cosmological Constant

S.R. Bhoyar¹ , V.R. Chirde²

1. Department of Mathematics, Phulsing Naik Mahavidyalaya, Pusad, India.
2. Department of Mathematics, Gopikabai Sitaramji Gawande Mahavidyalaya, Umarkhed , India.

Correspondence should be addressed to: sbhoyar68@yahoo.com.

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.1 , pp.11-18, Feb-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i1.1118

Online published on Feb 28, 2018

Copyright © S.R. Bhoyar, V.R. Chirde . 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.
 

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Abstract :
Bianchi type-III and Kantowski Sachs cosmological model containing magnetic field with variable cosmological constant ( ) has been studied in general theory of relativity. The general solutions of the Einstein’s field equations for the cosmological models have been obtained under the assumption of anti-stiff fluid (relation between pressure and density). The behavior of the model in presence of magnetic field and singularities in the model are discussed in detail. Furthermore some physical and geometrical aspects of the model are discussed. Our derived model represents shearing, non-rotating and expanding model of the universe with big-bang starts with both scale factors is monotonically increasing function of t.

Key-Words / Index Term :
Bianchi type-III and Kantowaski Sachs model, anti-stiff fluid, variable A

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