2021
DOI: 10.48550/arxiv.2111.00558
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Kaniadakis holographic dark energy: observational constraints and global dynamics

A. Hernández-Almada,
Genly Leon,
Juan Magaña
et al.

Abstract: We investigate Kaniadakis-holographic dark energy by confronting it with observations. We perform a Markov Chain Monte Carlo analysis using cosmic chronometers, supernovae type Ia, and Baryon Acoustic Oscillations data. Concerning the Kaniadakis parameter, we find that it is constrained around zero, namely around the value in which Kaniadakis entropy recovers standard Bekenstein-Hawking one. Additionally, for the present matter density parameter Ω (0) m , we obtain a value slightly smaller compared to ΛCDM sce… Show more

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Cited by 4 publications
(4 citation statements)
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References 76 publications
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“…There are many extensions of the previous holographic model following either the Tsallis non-extensive entropy [781,782], the quantum-gravitational modified Barrow entropy [783,784], or the Kaniadakis relativistic entropy [785][786][787]. It has been discussed that the Hubble constant tension can be alleviated with Tsallis holographic dark energy [788] or with Kaniadakis holographic dark energy [789].…”
Section: Holographic Dark Energymentioning
confidence: 99%
“…There are many extensions of the previous holographic model following either the Tsallis non-extensive entropy [781,782], the quantum-gravitational modified Barrow entropy [783,784], or the Kaniadakis relativistic entropy [785][786][787]. It has been discussed that the Hubble constant tension can be alleviated with Tsallis holographic dark energy [788] or with Kaniadakis holographic dark energy [789].…”
Section: Holographic Dark Energymentioning
confidence: 99%
“…However, several extensions have appeared in the literature, by using various modified entropy relations, arising from nonextensive generalizations of the statistics of horizon degrees of freedom and/or quantum gravitational deformations of the horizon geometry. Among these, special focus has been placed on Tsallis [19] and Kaniadakis [20] entropies, whose cosmological applications have been addressed in [21][22][23][24][25][26][27][28][29][30][31][32].…”
Section: Introductionmentioning
confidence: 99%
“…The AICc and BIC are defined as AICc = χ 2 min + 2k + (2k 2 + 2k)/(N − k − 1) and BIC = χ 2 min +k ln(N ) respectively, where χ 2 min is the minimum of the χ 2 function, N is the size of the dataset and k is the number of free parameters. Following the rules described in [69], we find that Λ = 0 model and ΛCDM are statistically equivalent based on AICc, when the sample are treated separately, but show a strong evidence against the scenario when the joint analysis is applied. On the other hand, although AICc suggests that Λ = 0 model and ΛCDM are statistically equivalent in the joint analysis, BIC indicates that there is a strong evidence against the candidate model.…”
Section: B Resultsmentioning
confidence: 75%