Creation Field Cosmological Model with Variable Cosmological Term (Λ) in Bianchi Type III Space-Time

The paper is devoted to the study of cosmological models with time-varying cosmological term (Λ) in the presence of creation field in the framework of Bianchi type III space-time. To obtain deterministic model of the universe, we have assumed Λ∝1/R3, where R is the scale factor, for steady state cos...

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Main Authors: Raj Bali, Seema Saraf
Format: Article
Language:English
Published: Wiley 2024-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2024/5901224
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author Raj Bali
Seema Saraf
author_facet Raj Bali
Seema Saraf
author_sort Raj Bali
collection DOAJ
description The paper is devoted to the study of cosmological models with time-varying cosmological term (Λ) in the presence of creation field in the framework of Bianchi type III space-time. To obtain deterministic model of the universe, we have assumed Λ∝1/R3, where R is the scale factor, for steady state cosmology and creation field, and shear (σ) is proportion to expansion (θ) which leads to B=Cn, where B and C are the metric potentials to explain small anisotropic behaviour of the universe and its isotropy. To obtain the results in terms of cosmic time t, we have assumed n=2. The model satisfies conservation equations, and creation field increases with time. The present model is free from singularity, has particle horizon, and provides a natural explanation for inflationary scenario and isotropization. Creation field and Einstein field equations are derived using principle of least action and Lagrangian formulation of variable cosmological term. For illustrative purposes, evolutionary behaviour of some cosmological parameters are shown graphically. The other physical aspects like accelerating behaviour of the model are also discussed. Thus, the model represents not only expanding universe but also accelerating which matches with the results of present-day observations.
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spelling doaj-art-afdc4b47f12f43e3a9591dd12752b9392025-08-20T03:39:18ZengWileyAdvances in High Energy Physics1687-73652024-01-01202410.1155/2024/5901224Creation Field Cosmological Model with Variable Cosmological Term (Λ) in Bianchi Type III Space-TimeRaj Bali0Seema Saraf1Department of MathematicsDepartment of MathematicsThe paper is devoted to the study of cosmological models with time-varying cosmological term (Λ) in the presence of creation field in the framework of Bianchi type III space-time. To obtain deterministic model of the universe, we have assumed Λ∝1/R3, where R is the scale factor, for steady state cosmology and creation field, and shear (σ) is proportion to expansion (θ) which leads to B=Cn, where B and C are the metric potentials to explain small anisotropic behaviour of the universe and its isotropy. To obtain the results in terms of cosmic time t, we have assumed n=2. The model satisfies conservation equations, and creation field increases with time. The present model is free from singularity, has particle horizon, and provides a natural explanation for inflationary scenario and isotropization. Creation field and Einstein field equations are derived using principle of least action and Lagrangian formulation of variable cosmological term. For illustrative purposes, evolutionary behaviour of some cosmological parameters are shown graphically. The other physical aspects like accelerating behaviour of the model are also discussed. Thus, the model represents not only expanding universe but also accelerating which matches with the results of present-day observations.http://dx.doi.org/10.1155/2024/5901224
spellingShingle Raj Bali
Seema Saraf
Creation Field Cosmological Model with Variable Cosmological Term (Λ) in Bianchi Type III Space-Time
Advances in High Energy Physics
title Creation Field Cosmological Model with Variable Cosmological Term (Λ) in Bianchi Type III Space-Time
title_full Creation Field Cosmological Model with Variable Cosmological Term (Λ) in Bianchi Type III Space-Time
title_fullStr Creation Field Cosmological Model with Variable Cosmological Term (Λ) in Bianchi Type III Space-Time
title_full_unstemmed Creation Field Cosmological Model with Variable Cosmological Term (Λ) in Bianchi Type III Space-Time
title_short Creation Field Cosmological Model with Variable Cosmological Term (Λ) in Bianchi Type III Space-Time
title_sort creation field cosmological model with variable cosmological term λ in bianchi type iii space time
url http://dx.doi.org/10.1155/2024/5901224
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