2021
DOI: 10.1140/epjc/s10052-021-09852-9
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Modified cosmology through Kaniadakis horizon entropy

Abstract: We apply the gravity-thermodynamics conjecture, namely the first law of thermodynamics on the Universe horizon, but using the generalized Kaniadakis entropy instead of the standard Bekenstein–Hawking one. The former is a one-parameter generalization of the classical Boltzmann–Gibbs–Shannon entropy, arising from a coherent and self-consistent relativistic statistical theory. We obtain new modified cosmological scenarios, namely modified Friedmann equations, which contain new extra terms that constitute an effec… Show more

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Cited by 43 publications
(23 citation statements)
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References 76 publications
(109 reference statements)
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“…Hence, such a complex structure leads to a modification of the black hole entropy. This idea may have interesting consequences in cosmological and holographic applications [69][70][71][72][73][74][75][76][77][78][79][80]. Nevertheless, it also has interesting implications on the black hole properties itself, since it changes the black hole temperature too [81][82][83].…”
Section: Introductionmentioning
confidence: 99%
“…Hence, such a complex structure leads to a modification of the black hole entropy. This idea may have interesting consequences in cosmological and holographic applications [69][70][71][72][73][74][75][76][77][78][79][80]. Nevertheless, it also has interesting implications on the black hole properties itself, since it changes the black hole temperature too [81][82][83].…”
Section: Introductionmentioning
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%
“…For example, a largely used statistics is that introduced by Kaniadakis, which comes from relativistic corrections to the Boltzmann theory [108]. It would be interesting to explore how modified Friedmann equations affect the mass density/pressure content of the Universe in that context [109]. Along this line, preliminary consid-erations could be derived by making use of the relation between Tsallis and Kaniadakis entropic measures [110].…”
Section: Connecting Tsallis Thermostatistics and Generalized Uncertai...mentioning
confidence: 99%