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Indian Journal of Science and Technology

Article

Mathematical analysis on anisotropic Bianchi Type-III inflationary string Cosmological models in Lyra geometry
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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v14i1.1705

Year: 2021, Volume: 14, Issue: 1, Pages: 46-54

Original Article

Mathematical analysis on anisotropic Bianchi Type-III inflationary string Cosmological models in Lyra geometry

Baro Jiten1*, Singh Kangujam Priyokumar1,2, Singh T Alexander1

1Department of Mathematical Sciences, Bodoland University, Kokrajhar, 783370, BTR,
Assam, India. Tel.: +919508764687
2Department of Mathematics, Manipur University, Imphal, 795003, Manipur, India

*Corresponding Author
Tel: +919508764687
Email: [email protected]

Received Date:22 September 2020, Accepted Date:20 December 2020, Published Date:11 January 2021

Creative Commons License

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

Abstract

Objectives: To present a new solution to the field equations obtained for Bianchi type-III universe by using the law of variation of H, which yields constant DP. Methods: We study a Bianchi type-III cosmological model with a cloud strings with particles connected to them in Lyra geometry. To find the exact solutions of survival field equations we consider here that the shear scalar and scalar expansion are proportional to each other (saq ) that leads to the equation b = cm and secondly we adopt the assumption considering the Deceleration Parameter q as a negative constant quantity giving the inflationary model. The geometrical and physical properties are studied and compared with the recent observational data. Findings: The present model starts at t=0 with 0 volume and as time progresses it expands with accelerated rate and the model shows that the present universe is particle dominated.

Keywords: Bianchi type III metric; inflation; Lyra geometry; cloud string; anisotropic

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Copyright

© 2021 Jiten 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)

  • 12 January 2021

Year: 2021, Volume: 14, Issue: 1

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