Observational constraint on interacting Tsallis holographic dark energy in logarithmic Brans–Dicke theory

Abstract In this paper, we investigate the dark energy phenomenon by studying the Tsallis holographic dark energy within the framework of Brans–Dicke (BD) scalar–tensor theory of gravity (Brans and Dicke in Phys. Rev. 124:925, 1961). In this context, we choose the BD scalar field $$\phi $$ ϕ as a lo...

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Main Authors: Y. Aditya, Sanjay Mandal, P. K. Sahoo, D. R. K. Reddy
Format: Article
Language:English
Published: SpringerOpen 2019-12-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-019-7534-5
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author Y. Aditya
Sanjay Mandal
P. K. Sahoo
D. R. K. Reddy
author_facet Y. Aditya
Sanjay Mandal
P. K. Sahoo
D. R. K. Reddy
author_sort Y. Aditya
collection DOAJ
description Abstract In this paper, we investigate the dark energy phenomenon by studying the Tsallis holographic dark energy within the framework of Brans–Dicke (BD) scalar–tensor theory of gravity (Brans and Dicke in Phys. Rev. 124:925, 1961). In this context, we choose the BD scalar field $$\phi $$ ϕ as a logarithmic function of the average scale factor a(t) and Hubble horizon as the IR cutoff ($$L=H^{-1}$$ L=H-1 ). We reconstruct two cases of non-interacting and interacting fluid (dark sectors of cosmos) scenario. The physical behavior of the models are discussed with the help of graphical representation to explore the accelerated expansion of the universe. Moreover, the stability of the models are checked through squared sound speed $$v_s^2$$ vs2 . The well-known cosmological plane i.e., $$\omega _{de}-\omega ^{\prime }_{de}$$ ωde-ωde′ is constructed for our models. We also include comparison of our findings of these dynamical parameters with observational constraints. It is also quite interesting to mention here that the results of deceleration, equation of state parameters and $$\omega _{de}-\omega ^{\prime }_{de}$$ ωde-ωde′ plane coincide with the modern observational data.
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spelling doaj.art-91990a53c6f441c882413849a246a5062022-12-21T23:17:17ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-12-01791211310.1140/epjc/s10052-019-7534-5Observational constraint on interacting Tsallis holographic dark energy in logarithmic Brans–Dicke theoryY. Aditya0Sanjay Mandal1P. K. Sahoo2D. R. K. Reddy3Department of Mathematics, GMR Institute of TechnologyDepartment of Mathematics, Birla Institute of Technology and Science-PilaniDepartment of Mathematics, Birla Institute of Technology and Science-PilaniDepartment of Applied Mathematics, Andhra UniversityAbstract In this paper, we investigate the dark energy phenomenon by studying the Tsallis holographic dark energy within the framework of Brans–Dicke (BD) scalar–tensor theory of gravity (Brans and Dicke in Phys. Rev. 124:925, 1961). In this context, we choose the BD scalar field $$\phi $$ ϕ as a logarithmic function of the average scale factor a(t) and Hubble horizon as the IR cutoff ($$L=H^{-1}$$ L=H-1 ). We reconstruct two cases of non-interacting and interacting fluid (dark sectors of cosmos) scenario. The physical behavior of the models are discussed with the help of graphical representation to explore the accelerated expansion of the universe. Moreover, the stability of the models are checked through squared sound speed $$v_s^2$$ vs2 . The well-known cosmological plane i.e., $$\omega _{de}-\omega ^{\prime }_{de}$$ ωde-ωde′ is constructed for our models. We also include comparison of our findings of these dynamical parameters with observational constraints. It is also quite interesting to mention here that the results of deceleration, equation of state parameters and $$\omega _{de}-\omega ^{\prime }_{de}$$ ωde-ωde′ plane coincide with the modern observational data.https://doi.org/10.1140/epjc/s10052-019-7534-5
spellingShingle Y. Aditya
Sanjay Mandal
P. K. Sahoo
D. R. K. Reddy
Observational constraint on interacting Tsallis holographic dark energy in logarithmic Brans–Dicke theory
European Physical Journal C: Particles and Fields
title Observational constraint on interacting Tsallis holographic dark energy in logarithmic Brans–Dicke theory
title_full Observational constraint on interacting Tsallis holographic dark energy in logarithmic Brans–Dicke theory
title_fullStr Observational constraint on interacting Tsallis holographic dark energy in logarithmic Brans–Dicke theory
title_full_unstemmed Observational constraint on interacting Tsallis holographic dark energy in logarithmic Brans–Dicke theory
title_short Observational constraint on interacting Tsallis holographic dark energy in logarithmic Brans–Dicke theory
title_sort observational constraint on interacting tsallis holographic dark energy in logarithmic brans dicke theory
url https://doi.org/10.1140/epjc/s10052-019-7534-5
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AT sanjaymandal observationalconstraintoninteractingtsallisholographicdarkenergyinlogarithmicbransdicketheory
AT pksahoo observationalconstraintoninteractingtsallisholographicdarkenergyinlogarithmicbransdicketheory
AT drkreddy observationalconstraintoninteractingtsallisholographicdarkenergyinlogarithmicbransdicketheory