Interacting Tsallis and Rényi holographic dark energy with hybrid expansion law

Bhattacharjee, Snehasish

doi:10.1007/s10509-020-03820-7

Cited by 19 publications

(6 citation statements)

References 73 publications

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“…Note that the prescription works well with standard HDE [ [60,62]]. It is interesting that in [65] the author also found the Rényi model which is classically unstable. There, it was noted that the sound speed was highly sensitive to the model parameter δ .…”

Section: Discussionmentioning

confidence: 52%

R\' enyi Holographic Dark Energy in Higher Dimension Cosmology

Saha,

Ghose,

Chanda

et al. 2021

Preprint

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Rényi holographic dark energy (RHDE) correspondence is discussed in higher dimensional cosmology, namely Kaluza-Klein (KK) cosmology. Both interacting and non-interacting cosmological scenario are considered here. It is found that the non-interacting model naturally leads to the late accelerated universe, unlike the standard Holographic Dark Energy models in 4D, which requires interaction to accommodate the late-time acceleration of the universe. The interacting model produces an accelerating universe at late time albeit failing to attain the estimated present value of the deceleration parameter. The evolution of different cosmologically relevant parameters have been estimated. We consider here two diagnostic tests namely, state-finder and Om diagnostics to study the non-interacting model which is more favoured in the light of recent cosmological observations. Classical stability of the cosmological models are also discussed *

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Section: Discussionmentioning

confidence: 52%

R\' enyi Holographic Dark Energy in Higher Dimension Cosmology

Saha,

Ghose,

Chanda

et al. 2021

Preprint

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“…Similar analysis of THDE with Hubble horizon and GO scale as IR cutoff in Bianchi-III universe has been discussed in [53,54]. Investigations on dynamics of THDE with Hubble horizon as IR cutoff, by assuming power law-exponential form for the scale factor have been studied in [55]. Geometrical evolutionary studies in THDE models with Hubble horizon, future event horizon, and GO scale as IR cutoffs corresponding to different interactions have been explored in [56,57,58,59,60,61,62,63].…”

Section: Introductionmentioning

confidence: 92%

Tsallis Holographic Dark Energy Reconsidered

Dheepika,

Mathew

2021

Preprint

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We consider the Interacting Tsallis Holographic Dark Energy (THDE) as dynamical vacuum, with the Granda-Oliveros (GO) scale as the infrared (IR) cutoff. To probe the evolution of the spatially flat Friedmann Lemaître Robertson Walker (FLRW) universe with dark energy and matter components, we analytically solved for the Hubble parameter, and the solution traces the evolutionary path from the prior decelerated to the late accelerated epoch. We used Pantheon Supernovae type Ia and Observational Hubble Data to constrain the free parameters of the model. The estimated values of the cosmological parameters were consistent with observational results. We analysed the behaviour of the model using the statefinder and ω e − ω e plane, and the model shows a quintessence behaviour in general and approach ΛCDM in the future. We performed a dynamical analysis of the model, concluding that the prior decelerated and late accelerated phases are unstable and stable equilibria, respectively. We also investigated the thermodynamical nature of the model and found that the horizon entropy is always an increasing function of time; the generalised second law remains valid in the dynamical vacuum treatment of the model.

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“…Neither in [ 2 ] nor in [ 3 ] is a specific position taken for black holes being

physical objects, or even (multi)fractal objects with nonintenger d (which, to the best of our knowledge, may not be excluded). At the present stage, it seems appropriate to analyze this nontrivial and delicate issue within the specialized realm of cosmological and black-hole physics [ 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 ]. However, it is seemingly undeniable that the sort of perplexity expressed in [ 49 , …”

Section: Relevant Misunderstandingmentioning

confidence: 99%