Barrow HDE model for Statefinder diagnostic in non-flat FRW universe

Bharadwaj, V.; Pradhan, Anirudh

doi:10.48550/arxiv.2103.08339

Cited by 3 publications

(3 citation statements)

References 51 publications

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“…However, if one desires to extend holographic dark energy in a non-flat universe, the above length should be suitably extended [79,80]. Hence, in the case of Barrow holographic dark energy this recipe should be followed too (note that in [81] it was tried to apply Barrow holographic dark energy in a non-flat universe but with L being the Hubble horizon, a choice that is known to be not correct [8,82] since it cannot lead to acceleration). Since the corresponding extension is slightly different for closed and open cases, in the following subsections we examine them separately.…”

Section: Barrow Holographic Dark Energy In Non-flat Geometrymentioning

confidence: 99%

Barrow Holographic Dark Energy in non-flat Universe

Adhikary¹,

Das²,

Basilakos³

et al. 2021

Preprint

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We construct Barrow holographic dark energy in the case of non-flat universe. In particular, considering closed and open spatial geometry we extract the differential equations that determine the evolution of the dark-energy density parameter, and we provide the analytical expression for the corresponding dark energy equation-of-state parameter. We show that the scenario can describe the thermal history of the universe, with the sequence of matter and dark energy epochs. Comparing to the flat case, where the phantom regime is obtained for relative large Barrow exponents, the incorporation of positive curvature leads the universe into the phantom regime for significantly smaller values. Additionally, in the case of negative curvature we find a reversed behavior, namely for increased Barrow exponent we acquire algebraically higher dark-energy equation-of-state parameters. Hence, the incorporation of slightly nonflat spatial geometry to Barrow holographic dark energy improves the phenomenology while keeping the new Barrow exponent to smaller values. Contents 1 Introduction 1 2 Barrow holographic dark energy in non-flat geometry 2 2.1 Positive spatial curvature 3 2.2 Negative spatial curvature 4

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Section: Barrow Holographic Dark Energy In Non-flat Geometrymentioning

confidence: 99%

Barrow Holographic Dark Energy in non-flat Universe

Adhikary¹,

Das²,

Basilakos³

et al. 2021

Preprint

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“…A number of works explored the interacting Ricci holographic dark energy models (Chimento et al 2013a(Chimento et al , 2013bChimento & Richarte 2013, 2012. The recently proposed Barrow entropy formula (Barrow 2020) has led to formulation of the Barrow holographic dark energy model (Saridakis 2020) which has found many applications in cosmology (Saridakis 2020;Dixit et al 2021;Setare 2006;Huang & Li 2004;Chakraborty et al 2021;Bhardwaj et al 2021;Srivastava & Sharma 2021;Sheykhi 2021;Abreu et al 2020;Pradhan et al 2021;Sharma et al 2021;shikha, Adhikary et al 2021;Al Mamon et al 2020). Pandey (2017) showed that growth of structure in the universe starting from its initial smooth state leads to dissipation of configuration entropy.…”

Section: Introductionmentioning

confidence: 99%

A Study of Holographic Dark Energy Models with Configuration Entropy

Das

Pandey

2023

Res. Astron. Astrophys.

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The holographic dark energy models provide an alternative description of the darkenergy. These models are motivated by the possible application of holographic principle tothe dark energy problem. In this work, we present a theoretical study of the one parameterLi holographic dark energy and the two parameter Barrow holographic dark energy mod-els using configuration entropy of the matter distribution in the Universe. The configurationentropy rate exhibits a distinct minimum at a specific scale factor that corresponds to theepoch, beyond which the dark energy takes a driving role in the accelerated expansion ofthe Universe. We find that the location of the minimum and magnitude of the entropy rateat the minimum are sensitive to the parameters of the models. We find the best fit relationsbetween these quantities and the parameters of each model. We propose that these relationscan be used to constrain the parameters of the holographic dark energy models from the fu-ture observations such as the SKA. Our study suggests that the signature of a large quantumgravitational effect on the future event horizon can be detected from the measurements of theconfiguration entropy of the matter distribution at multiple redshifts.

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“…The area law entropy expression is restored by choosing ∆ = 0 which accordingly corresponds to the simplest horizon structure, while ∆ = 1 expresses the most intricate surface structure. There are some investigations on Barrow entropy in the cosmological and gravitational setups [59][60][61][62][63][64][65][66][67][68][69][70][71][72][73][74][75].…”

Section: Introductionmentioning

confidence: 99%

Observational constraints of the modified cosmology through Barrow entropy

Asghari,

Sheykhi

2021

Preprint

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Taking into account a fractal structure for the black hole horizon, Barrow argued that the area law of entropy get modified due to quantum-gravitational effects [Phys. Lett. B 808 (2020) 135643]. Accordingly, the corrected entropy takes the form S ∼ A 1+∆/2 , where 0 ≤ ∆ ≤ 1, indicates the amount of the quantum-gravitational deformation effects. In this paper, based on Barrow entropy, we first derive the modified gravitational field equations through the Clausius relation. We then consider the Friedmann-Lemaître-Robertson-Walker (FLRW) as the background metric and derive the modified Friedmann equations inspired by Barrow entropy. In order to explore observational constraints on the modified Barrow cosmology, we employ two different combinations of available datasets, mainly "Planck + Pantheon + BAO" and "Planck + Planck-SZ + CFHTLenS + Pantheon + BAO + BAORSD" datasets. According to numerical results, we observe that "Planck + Pantheon + BAO" dataset predicts higher values of H 0 in Barrow cosmology with a phantom dark energy compared to ΛCDM, so tensions between low redshift determinations of Hubble constant and cosmic microwave background (CMB) results is slightly reduced. On the other hand, in case of dataset "Planck + Planck-SZ + CFHTLenS + Pantheon + BAO + BAORSD" there is a slight amelioration in σ 8 tension in Barrow cosmology with a quintessential dark energy.

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Barrow HDE model for Statefinder diagnostic in non-flat FRW universe

Cited by 3 publications

References 51 publications

Barrow Holographic Dark Energy in non-flat Universe

Barrow Holographic Dark Energy in non-flat Universe

A Study of Holographic Dark Energy Models with Configuration Entropy

Observational constraints of the modified cosmology through Barrow entropy

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