Anisotropic Bianchi type VI<sub>0</sub> Space-Time with Barotropic Fluid in Sáez - Ballester Theory of Gravitation

In this paper, we have discussed the exact solution of Einstein's field equations for anisotropic Bianchi type VI0 cosmological model in the framework of the scalar-tensor theory of gravitation given by Sáez–Ballester for barotropic fluid distribution. To obtain an exact solution, we have assumed that expansion (θ) is proportional to shear (σ) which leads to A =Bk, where k is a constant A and B are metric potentials and also assumed barotropic condition p = γρ; (0 ≤ γ ≤ 1) where p being isotropic pressure and ρ is matter density. Some physical and geometrical properties of the model are also discussed.

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Publication Details

Journal
Journal of Scientific Research
Published
2024-09-02
DOI
https://doi.org/10.3329/jsr.v16i3.70809
Primary Topic
Cosmology and Gravitation Theories
Type
article
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article

Anisotropic Bianchi type VI0 Space-Time with Barotropic Fluid in Sáez - Ballester Theory of Gravitation

Pramila Kumawat, Reena Goyal, S. Choudhary
Journal of Scientific Research
Cosmology and Gravitation Theories
article

Anisotropic Bianchi type VI0 Space-Time with Barotropic Fluid in Sáez - Ballester Theory of Gravitation

Pramila Kumawat, Reena Goyal, S. Choudhary
article en

Abstract

In this paper, we have discussed the exact solution of Einstein's field equations for anisotropic Bianchi type VI0 cosmological model in the framework of the scalar-tensor theory of gravitation given by Sáez–Ballester for barotropic fluid distribution. To obtain an exact solution, we have assumed that expansion (θ) is proportional to shear (σ) which leads to A =Bk, where k is a constant A and B are metric potentials and also assumed barotropic condition p = γρ; (0 ≤ γ ≤ 1) where p being isotropic pressure and ρ is matter density. Some physical and geometrical properties of the model are also discussed.

Journal of Scientific ResearchVol. 16(3)
Jain University (IN), Institute of Technology Management (IN)
Openalex Percentile: Top 89%
Cosmology and Gravitation Theories
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