Anisotropy Bianchi Type-III Cosmological Model in Brans-Dicke Theory of Gravitation

Parimal W Gaidhane; A M Pund; P M Lambat

doi:10.17485/IJST/v17i18.451

Article

Anisotropy Bianchi Type-III Cosmological Model in Brans-Dicke Theory of Gravitation

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v17i18.451

Year: 2024, Volume: 17, Issue: 18, Pages: 1868-1879

Original Article

Anisotropy Bianchi Type-III Cosmological Model in Brans-Dicke Theory of Gravitation

Parimal W Gaidhane^1*, A M Pund¹, P M Lambat¹

¹Department of Mathematics, S. S. E. S. Amravati’s Science College, Nagpur, Maharashtra, India

*Corresponding Author
Email: [email protected]

Received Date:20 February 2024, Accepted Date:06 April 2024, Published Date:29 April 2024

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives: To derive the multi-fluid anisotropic Bianchi type-III cosmological model filled with radiation and matter in the presence of Brans-Dicke scalar-tensor theory. Method: In this paper, we have calculated Brans-Dicke field equations in anisotropic Bianchi type -III space times in the presence of matter and radiation which are minimally interacting fields. To obtain the determinate solution of the model, we considered i) the state of the equation , ii) the shear scalar is directly proportional to the expansion scalar i.e., . Also, consider the deceleration parameter, , where with which yields models with constant deceleration parameter. Findings: This solution shows an anisotropic radiation model in Brans-Dicke's theory. Also, it shows accelerated expansion of the universe and transition of the universe from the deceleration phase to the accelerated phase. Novelty: The derived model's many parameters support recent cosmological findings, indicating the model's good discovery. Thus, within the framework of our established model, we are able to comprehend the cosmic development.

Keywords: Bianchi type-III, Brans-Dicke theory, Multifluid, Deceleration parameter, Λ CDM

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Copyright

© 2024 Gaidhane et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)