{"title":"Study of f(T) Theory of Gravity in the Framework of Modified Holographic Ricci Dark Energy with Thermodynamical Aspects","authors":"A. O. Dhore, M. R. Ugale","doi":"10.1007/s10773-024-05744-2","DOIUrl":null,"url":null,"abstract":"<p>This article explores the analysis of modified holographic Ricci dark energy (MHRDE) in the context of <span>\\(\\varvec{f(T)}\\)</span> theory of gravity, with a focus on the validity of thermodynamics for homogenous and isotropic Friedmann-Robertson-Walker (FRW) universe by using hybrid expansion law (HEL) represented as <span>\\(\\varvec{a(t)} \\varvec{=} \\varvec{e}^{\\varvec{mt}} \\varvec{t}^{\\varvec{n}}\\)</span>, where <span>\\(\\varvec{m, n}\\)</span> are constants. The study investigates the dynamics of the accelerating universe across the established <span>\\(\\varvec{f(T)}\\)</span> model, <span>\\(\\varvec{f(T)} \\varvec{=} \\varvec{\\xi }_{\\varvec{1}} \\varvec{T} \\varvec{+} \\varvec{\\xi }_{\\varvec{2}} \\varvec{T}^{\\varvec{\\xi }_{\\varvec{3}}} \\varvec{\\log } \\varvec{T}\\)</span>, where <span>\\(\\varvec{\\xi }_{\\varvec{1}}\\varvec{,} \\varvec{\\xi }_{\\varvec{2}}\\varvec{,} \\varvec{\\xi }_{\\varvec{3}}\\)</span> are constants. The fundamental equations of thermodynamics features of the model have been deliberated. Additionally, the entropy density and temperature of the model are determined. We use the energy conditions in our solutions to identify a range of values for free parameters of the model, ensuring a stable and well-behaved scenario. Furthermore, a detailed examination of the physical and geometrical characteristics of the model has been conducted.</p>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":1.3000,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1007/s10773-024-05744-2","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
This article explores the analysis of modified holographic Ricci dark energy (MHRDE) in the context of \(\varvec{f(T)}\) theory of gravity, with a focus on the validity of thermodynamics for homogenous and isotropic Friedmann-Robertson-Walker (FRW) universe by using hybrid expansion law (HEL) represented as \(\varvec{a(t)} \varvec{=} \varvec{e}^{\varvec{mt}} \varvec{t}^{\varvec{n}}\), where \(\varvec{m, n}\) are constants. The study investigates the dynamics of the accelerating universe across the established \(\varvec{f(T)}\) model, \(\varvec{f(T)} \varvec{=} \varvec{\xi }_{\varvec{1}} \varvec{T} \varvec{+} \varvec{\xi }_{\varvec{2}} \varvec{T}^{\varvec{\xi }_{\varvec{3}}} \varvec{\log } \varvec{T}\), where \(\varvec{\xi }_{\varvec{1}}\varvec{,} \varvec{\xi }_{\varvec{2}}\varvec{,} \varvec{\xi }_{\varvec{3}}\) are constants. The fundamental equations of thermodynamics features of the model have been deliberated. Additionally, the entropy density and temperature of the model are determined. We use the energy conditions in our solutions to identify a range of values for free parameters of the model, ensuring a stable and well-behaved scenario. Furthermore, a detailed examination of the physical and geometrical characteristics of the model has been conducted.
期刊介绍:
International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.