Bianchi Type-I Universe in Modified Theory of Gravity

In this paper, we have studied an anisotropic Bianchi-I cosmological model in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>(</mo><mi>R</mi><mo>,&l...

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Main Authors: Bhupendra Kumar Shukla, Rishi Kumar Tiwari, Aroonkumar Beesham
Format: Article
Language:English
Published: MDPI AG 2023-02-01
Series:Physical Sciences Forum
Subjects:
Online Access:https://www.mdpi.com/2673-9984/7/1/28
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author Bhupendra Kumar Shukla
Rishi Kumar Tiwari
Aroonkumar Beesham
author_facet Bhupendra Kumar Shukla
Rishi Kumar Tiwari
Aroonkumar Beesham
author_sort Bhupendra Kumar Shukla
collection DOAJ
description In this paper, we have studied an anisotropic Bianchi-I cosmological model in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>(</mo><mi>R</mi><mo>,</mo><mi>T</mi><mo>)</mo></mrow></semantics></math></inline-formula> gravity. To obtain the exact solutions of the field equations, we have used the condition <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>σ</mi><mo>/</mo><mi>θ</mi></mrow></semantics></math></inline-formula> to be a function of the scale factor (<b>IJTP, 54, 2740-2757, 2015</b>). Our model possesses an initial singularity. It initially exhibits decelerating expansion and transits to accelerating expansion at late times. We have also discussed the physical and geometrical properties of the model.
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spelling doaj.art-b487b74d3be44615b6568919ef44b30e2023-11-18T12:20:31ZengMDPI AGPhysical Sciences Forum2673-99842023-02-01712810.3390/ECU2023-14049Bianchi Type-I Universe in Modified Theory of GravityBhupendra Kumar Shukla0Rishi Kumar Tiwari1Aroonkumar Beesham2Department of Mathematics, Government College, Bandri Sagar 470442, IndiaDepartment of Mathematics, Government Model Science College, Rewa 486001, IndiaFaculty of Natural Sciences, Mangosuthu University of Technology, Umlazi 4031, South AfricaIn this paper, we have studied an anisotropic Bianchi-I cosmological model in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>(</mo><mi>R</mi><mo>,</mo><mi>T</mi><mo>)</mo></mrow></semantics></math></inline-formula> gravity. To obtain the exact solutions of the field equations, we have used the condition <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>σ</mi><mo>/</mo><mi>θ</mi></mrow></semantics></math></inline-formula> to be a function of the scale factor (<b>IJTP, 54, 2740-2757, 2015</b>). Our model possesses an initial singularity. It initially exhibits decelerating expansion and transits to accelerating expansion at late times. We have also discussed the physical and geometrical properties of the model.https://www.mdpi.com/2673-9984/7/1/28Bianchi Type-Ivariable anisotropy parameterequation of state parameter
spellingShingle Bhupendra Kumar Shukla
Rishi Kumar Tiwari
Aroonkumar Beesham
Bianchi Type-I Universe in Modified Theory of Gravity
Physical Sciences Forum
Bianchi Type-I
variable anisotropy parameter
equation of state parameter
title Bianchi Type-I Universe in Modified Theory of Gravity
title_full Bianchi Type-I Universe in Modified Theory of Gravity
title_fullStr Bianchi Type-I Universe in Modified Theory of Gravity
title_full_unstemmed Bianchi Type-I Universe in Modified Theory of Gravity
title_short Bianchi Type-I Universe in Modified Theory of Gravity
title_sort bianchi type i universe in modified theory of gravity
topic Bianchi Type-I
variable anisotropy parameter
equation of state parameter
url https://www.mdpi.com/2673-9984/7/1/28
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