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Journal of Dynamical Systems and Geometric Theories

(Since 2002)
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Journal of Dynamical Systems and Geometric Theories
Open Access Research Article

Bulk Viscous Bianchi Type-III Cosmological Model with Modified Takabayasi String in the Presence of Varying Λ

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pp. 95–112Vol. 19Issue 1January 2021DOI: 10.1080/1726037X.2021.1978195XML
Received:
05 Jun 2020
Accepted:
12 Jan 2021
Published Online:
29 Sep 2021
Article type:
Research Article
Language:
EN
Article no.:
1726037X.2021.1978195
Pages:
95–112

Abstract

In the present study, the solutions are obtained for Bianchi type III cosmological models with modified Takabayasi string of the form ρ = (1 + ω) λ + Λ in the presence of bulk viscous fluid. To obtain the realistic model we assume the relation between metric potential i. e B = Cundefined. We studied the role of Λ term in the evolution of universe. Here, we investigated two different cases for the cosmological model i. e case i) ω → ∞ and case ii) ω —> 0. In both the cases, we found the physical significance of the cosmological term Λ in quadratic form i. e Λ = Λ0 + Λ1H + Λ2H2. All the physical and geometrical aspects of the model for both the cases are discussed for the corresponding solutions. It is observed that the resultant models follows the present day observations and literature favour the accelerating model of the universe. Also, we have plotted the graphs for detailed study of each case.

Keywords

Bianchi type III spacetimeTakabayasi s ringBulk viscosityCosmological term Λ

Subject Classifications

54H20

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