Interacting Rényi holographic dark energy with parametrization on the interaction term

Sharma, Umesh Kumar; Dubey, Vipin Chandra

doi:10.48550/arxiv.2001.02368

Cited by 4 publications

(5 citation statements)

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“…• Here, we also include a comparative study of our work with recent works on this subject [34,35] and found that our findings are in good agreement with their work but their models are unstable whereas our both models are stable.…”

Section: Discussionsupporting

confidence: 89%

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RHDE models in FRW Universe with two IR cut-offs with redshift parametrization

Dixit,

Bhardwaj,

Pradhan

2020

Preprint

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In this manuscript, we have researched the cosmic expansion phenomenon in flat FRW Universe through the interaction of the recently proposed Rènyi holographic dark energy (RHDE). For this reason, we assumed Hubble (H) and Granda-Oliveros (GO) horizons as IR cut-off in the framework of f (R, T ) gravity. With this choice for IR cut-off, we can obtain some important cosmological quantities such as the equation of state ω T , energy density ρ T , density parameter Ω T , and pressure p T , which are the function of the redshift z. It is observed that in both IR cut-offs the EoS parameter displays quintom-like behaviour for three different values of δ. Here we plot these parameters versus redshift z and discuss the consistency of the recent findings. Next, we explore the ω T -ω ′ T plane and the stability analysis of the dark energy model by a perturbation method. Our findings demonstrate that the Universe is an accelerating model of rapid growth that is explained by quintom like behaviour. Hence the feasibility of the RHDE model with Hubble and GO cut-off is supported by our model. The results indicate that the IR cut-offs play a significant role in the understanding of the dynamics of the universe.

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Section: Discussionsupporting

confidence: 89%

“…Many authors are working on the different IR cut-offs like: Sharma and Dubey [34] worked on the interacting Rènyi holographic dark energy with parametrization on the interaction term and studied the graphical behaviour of cosmological parameters. Vipin et al [35] have also observed the growth rate of perturbations by using hierarchy.…”

Section: Introductionmentioning

confidence: 99%

RHDE models in FRW Universe with two IR cut-offs with redshift parametrization

Dixit,

Bhardwaj,

Pradhan

2020

Preprint

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“…Later on the holographic principle was applied to the dark Energy (DE) problem, prompting a new model of DE referred to as the Holographic Dark Energy (HDE) in which the energy density relies physical quantities on the boundary of the universe these are the reduced Planck mass and the cosmological length scale which is chosen as the future event horizon of the universe [15]. Several researchers [16][17][18][19][20][21] have inspected altered holographic dark energies by making an allowance for different types of cut-offs, for example, Hubble's and Granda-Oliveros'. In the current analysis, we envisage the dark energy propagating from the gravitational region as an alternative of the matter part.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamical aspects of Bianchi type-I Universe in quadratic form of $f\left( Q\right) $ gravity and observational constraints

Koussour¹,

Shekh²,

Govender³

et al. 2022

Preprint

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In this paper, we study a LRS Bianchi type-I cosmological model in the framework of symmetric teleparallel f (Q) gravity in which the non-metricity term (Q) is responsible for the gravitational interaction. We have considered a special form of the f (Q) gravity function which can be cast as f (Q) = γ Q n (where γ and n are both the dynamical model constant parameters). Such a choice can be viewed as a hybrid scale factor and the cosmic time and the redshift are related viawhich describes a ΛCDM model of the Universe with the expansion evolving from decelerating to an acceleration phase. We further study the validity of our model with an investigation of the thermodynamical quantities and energy conditions along with some physical variables such as the EoS, jerk, and statefinder parameters. Our results are discussed in the light of current observational data and trends.

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“…Inspired by the holographic principle [11], the HDE model has the dark energy density depending on the universe boundary physical quantities i.e. the reduced Planck mass M p and the cosmological length scale or the IR cut-off L. Several choices of the IR cut-off have been considered [10,12,13], such as the Hubble horizon, the future horizon and the particle horizon, and in addition some new IR cut-offs have been proposed such as Nojiri-Odintsov cut-off [14] and Granda-Oliveros one [15]. The energy density of the original HDE model has arisen from the black hole entropy or the Bekenstein-Hawking entropy [10,16].…”

Section: Introductionmentioning

confidence: 99%

“…For those models, different aspects have been investigated e.g. in [29][30][31][32][33][34][35][36][37], and also there are some papers that the (dark) matter and the dark energy interaction has been considered such as [13,[38][39][40][41][42][43][44][45][46][47]. The Rényi HDE model with the Hubble horizon is stable without including any interaction [26] where the universe at present is in the quintessence phase.…”

Section: Introductionmentioning

confidence: 99%