A new holographic dark energy model in Brans-Dicke theory with logarithmic scalar field

Sadri, Ehsan; Vakili, Babak

doi:10.1007/s10509-017-3237-2

Cited by 17 publications

(7 citation statements)

References 41 publications

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“…Finally, cosmological evolution is discussed also with the aid of the Om-diagnostic tool, which, in our case, exhibits quintessence behavior of the universe. It is quite interesting to mention that our results are consistent with the corresponding isotropic universe model [17].…”

Section: Discussionsupporting

confidence: 88%

“…Fayaz et al [16] investigated HDE model in a Bianchi Type I with (BI) universe within the context of the generalized teleparallel theory and found phantom/quintessence regions of the universe. Sadri and Vakili [17] studied the NHDE approach in BD theory using a FRW universe model with logarithmic scalar field, and analyzed the EoS/deceleration parameter, statefinder and Om-diagnostic tool for both non-interacting/interacting case. Jahromi et al [18] studied the generalized entropy formalism and used a NHDE model to illustrate the evolution of the universe through its cosmological parameters.…”

Section: Introductionmentioning

confidence: 99%

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New Holographic Dark Energy Model in Brans-Dicke Theory

2018

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Abstract:We study the cosmic evolution of the Bianchi type I universe by using new holographic dark energy model in the context of the Brans-Dicke theory for both non-interacting and interacting cases between dark energy and dark matter. We evaluate the equation of state for dark energy ω D and draw the ω D −ω D plane, where the dot denotes the time derivative. It is found that a stage in which the cosmic expansion is accelerating can be realized in both cases. In addition, we investigate the stability of the model by analyzing the sound speed. As a result, it is demonstrated that for both cases, the behavior of the sound speed becomes unstable. Furthermore, with the Om-diagnostic tool, it is shown that the quintessence region of the universe can exist.

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Section: Discussionsupporting

confidence: 88%

Section: Introductionmentioning

confidence: 99%

New Holographic Dark Energy Model in Brans-Dicke Theory

2018

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“…where φ 1 , β 1 > 1 and β 2 > 0 are constants. Recently, Singh and Kumar [95], Sadri and Vakili [96], and Aditya and Reddy [97] have investigated holographic DE models in BD theory using this logarithmic law for scalar field.…”

Section: Tsallis Holographic Dark Energy In Bd Theorymentioning

confidence: 99%

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

Aditya¹,

Mandal²,

Sahoo³

et al. 2019

Eur. Phys. J. C

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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 [Phys. Rev. 124, 925 (1961)]. In this context, we choose the BD scalar field φ as a logarithmic function of the average scale factor a(t) and Hubble horizon as the IR cutoff (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 2 s . The well-known cosmological plane i.e., ω de − ω de 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 ω de − ω de plane coincide with the modern observational data.Keywords Tsallis holographic dark energy · Brans-Dicke gravity · cosmological parameters · dark energy · logorithemic scalar field PACS 04.50.kd.

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“…However, a number of authors [17][18][19]24,25] have obtained a time-dependent DP for the same assumption of φ. Kumar and Singh [26] discussed this prob-lem of constant DP associated with the power law form, and proposed a logarithmic form of the BD scalar field. A number of authors have considered the logarithmic form to explain various aspects of cosmological evolution [27][28][29][30][31]. In the present paper, we are interested to discuss the evolution of the universe in BD theory without taking any specific form of BD scalar field and also to find a suitable form of BD scalar field for the model under consideration in the paper.…”

Section: Introductionmentioning

confidence: 99%

Reconsidering holographic dark energy in Brans–Dicke theory

2022

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In this paper, we reconsider the concept of holographic dark energy in the framework of Brans–Dicke theory in the formalism of the flat Friedmann–Lemaitre–Robertson–Walker metric. Firstly, we demonstrate how the assumption $$\phi \propto a^n$$ ϕ ∝ a n , where $$\phi $$ ϕ and a stand for the Brans–Dicke scalar field and scale factor, respectively, naturally leads to a constant deceleration parameter, irrespective of the energy content of the universe. Secondly, we consider interacting holographic dark energy with Hubble horizon as IR cut-off, and find the value of the Hubble parameter and corresponding value of the scale factor. Further, we find the value of the Brans–Dicke scalar field $$\phi $$ ϕ for the obtained value of the Hubble parameter and holographic dark energy. We obtain the corresponding value of the deceleration parameter and show that it can explain the phase transition of the universe. Moreover, statefinder diagnostics has been applied to compare the model with existing models. On the other hand, we consider the viscous behavior of holographic dark energy and show that the viscous holographic dark energy can play the role of interacting holographic dark energy as it is able to explain the phase transition of the universe. Further, we find the value of the Brans–Dicke scalar field $$\phi $$ ϕ for this viscous holographic dark energy. In this model also, we apply the statefinder diagnostic.

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A new holographic dark energy model in Brans-Dicke theory with logarithmic scalar field

Cited by 17 publications

References 41 publications

New Holographic Dark Energy Model in Brans-Dicke Theory

New Holographic Dark Energy Model in Brans-Dicke Theory

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

Reconsidering holographic dark energy in Brans–Dicke theory

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