Non-minimal matter-geometry coupling in Bianchi I space-time

Non-minimal matter-geometry coupling in Bianchi I space-time

In this paper, we have searched the existence of non-minimal matter-geometry coupling govern by power law in Bianchi I space-time. The energy and stability conditions are applied in the derived model to check the stability of the model and to obtain the certain range of values for the free parameter...

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Main Authors: Lokesh Kumar Sharma, Anil Kumar Yadav, P.K. Sahoo, Benoy Kumar Singh
Format: Article
Language:English
Published: Elsevier 2018-09-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379718314074
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spelling doaj-1b77425187314b15bc66f0a611ed71c62020-11-24T21:52:54ZengElsevierResults in Physics2211-37972018-09-0110738742Non-minimal matter-geometry coupling in Bianchi I space-timeLokesh Kumar Sharma0Anil Kumar Yadav1P.K. Sahoo2Benoy Kumar Singh3Department of Physics, GLA University, Mathura, IndiaDepartment of Physics, United College of Engineering and Research, Greater Noida 201306, IndiaDepartment of Mathematics, Birla Institute of Technology and Science-Pilani, Hyderabad Campus, Hyderabad 500078, India; Corresponding author.Department of Physics, GLA University, Mathura, IndiaIn this paper, we have searched the existence of non-minimal matter-geometry coupling govern by power law in Bianchi I space-time. The energy and stability conditions are applied in the derived model to check the stability of the model and to obtain the certain range of values for the free parameters of the model that yield well behaved accelerating model of universe. We have also constructed a Lagrangian model which is based on f(R,T)=f1(R)+f2(R)f3(T) and it’s functional forms f1(R)=f2(R)=R and f3(T)=αT. We also examine the behaviour of physical parameters and validity of energy conditions as well as stability condition of derived model. Keywords: Bianchi I space-time, f(R,T) gravity, Matter-geometry couplinghttp://www.sciencedirect.com/science/article/pii/S2211379718314074
collection DOAJ
language English
format Article
sources DOAJ
author Lokesh Kumar Sharma
Anil Kumar Yadav
P.K. Sahoo
Benoy Kumar Singh
spellingShingle Lokesh Kumar Sharma
Anil Kumar Yadav
P.K. Sahoo
Benoy Kumar Singh
Non-minimal matter-geometry coupling in Bianchi I space-time
Results in Physics
author_facet Lokesh Kumar Sharma
Anil Kumar Yadav
P.K. Sahoo
Benoy Kumar Singh
author_sort Lokesh Kumar Sharma
title Non-minimal matter-geometry coupling in Bianchi I space-time
title_short Non-minimal matter-geometry coupling in Bianchi I space-time
title_full Non-minimal matter-geometry coupling in Bianchi I space-time
title_fullStr Non-minimal matter-geometry coupling in Bianchi I space-time
title_full_unstemmed Non-minimal matter-geometry coupling in Bianchi I space-time
title_sort non-minimal matter-geometry coupling in bianchi i space-time
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2018-09-01
description In this paper, we have searched the existence of non-minimal matter-geometry coupling govern by power law in Bianchi I space-time. The energy and stability conditions are applied in the derived model to check the stability of the model and to obtain the certain range of values for the free parameters of the model that yield well behaved accelerating model of universe. We have also constructed a Lagrangian model which is based on f(R,T)=f1(R)+f2(R)f3(T) and it’s functional forms f1(R)=f2(R)=R and f3(T)=αT. We also examine the behaviour of physical parameters and validity of energy conditions as well as stability condition of derived model. Keywords: Bianchi I space-time, f(R,T) gravity, Matter-geometry coupling
url http://www.sciencedirect.com/science/article/pii/S2211379718314074
work_keys_str_mv AT lokeshkumarsharma nonminimalmattergeometrycouplinginbianchiispacetime
AT anilkumaryadav nonminimalmattergeometrycouplinginbianchiispacetime
AT pksahoo nonminimalmattergeometrycouplinginbianchiispacetime
AT benoykumarsingh nonminimalmattergeometrycouplinginbianchiispacetime
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