Dark energy model in higher-dimensional FRW universe with respect to generalized entropy of Sharma and Mittal of flat FRW space–time

DEMİREL, Esra

doi:10.1139/cjp-2018-0784

Cited by 5 publications

(3 citation statements)

References 12 publications

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“…Another applications of considered entropy are interesting results in the cosmological setup, such as black hole thermodynamics [ 10 ]. Namely, it helps us to describe the current accelerated universe by using the vacuum energy in a suitable manner [ 11 ]. In addition [ 12 ] have established the relation between anomalous diffusion process and Sharma–Mittal entropy.…”

Section: Introductionmentioning

confidence: 99%

Inequalities for Jensen–Sharma–Mittal and Jeffreys–Sharma–Mittal Type f–Divergences

Kluza

2021

Entropy

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In this paper, we introduce new divergences called Jensen–Sharma–Mittal and Jeffreys–Sharma–Mittal in relation to convex functions. Some theorems, which give the lower and upper bounds for two new introduced divergences, are provided. The obtained results imply some new inequalities corresponding to known divergences. Some examples, which show that these are the generalizations of Rényi, Tsallis, and Kullback–Leibler types of divergences, are provided in order to show a few applications of new divergences.

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Section: Introductionmentioning

confidence: 99%

Inequalities for Jensen–Sharma–Mittal and Jeffreys–Sharma–Mittal Type f–Divergences

Kluza

2021

Entropy

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“…Since we are living in a 4D space-time, the hidden extra dimension in 5D is highly likely to be associated with the invisible DM and DE [83]. Few of the worth mentioning works on higher dimensional space-time during the last few years can be seen in [20,[84][85][86][87][88][89][90][91]93].…”

Section: Introductionmentioning

confidence: 99%

A higher dimensional cosmological model for the search of dark energy source

Singh

2020

Int. J. Geom. Methods Mod. Phys.

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With due consideration of reasonable cosmological assumptions within the limit of the present cosmological scenario, we have analysed a spherically symmetric metric in 5D setting within the framework of Lyra manifold. The model universe is predicted to be a DE model, dominated by vacuum energy. The model represents an oscillating model, each cycle evolving with a big bang and ending at a big crunch, undergoing a series of bounces. The universe is isotropic and undergoes super-exponential expansion. The value of Hubble's parameter is measured to be H = 67.0691 which is very close to H0 = 67.36±0.54kms −1 M pc −1 , the value estimated by the latest Planck 2018 result. A detailed discussion on the cosmological parameters obtained is also presented with graphs.

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“…On the other hand, its generalization, called the Sharma-Mittal entropy (SM) [9], which is a combination of the Rényi and Tsallis entropies, leads to interesting results in the cosmological setup. Such a kind of generalization helps us to describe the current accelerated universe by using the vacuum energy in a suitable manner [23][24][25][26][27]. Although, non-extensive entropies have been used to investigate the thermodynamic properties of black holes, but none of them consider the Sharma-Mittal entropy for it.…”

Section: Introductionmentioning

confidence: 99%

Black hole thermodynamics in Sharma–Mittal generalized entropy formalism

et al. 2019

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Using the Sharma-Mittal entropy, we study some properties of the Schwarzschild and Schwarzschild-de Sitter black holes. The results are compared with those obtained by attributing the Bekenstein entropy bound to the mentioned black holes. Our main results show that while the Schwarzschild black hole is always stable in the micro-canonical ensemble, it can be stable in the canonical ensemble if its mass is bigger than the mass of the coldest Schwarzschild black hole. A semi-classical analysis has also been used to find an approximate relation between the entropy free parameters. Throughout the paper, we use units c = G = = kB = 1, where kB denotes the Boltzmann constant. * sh.ghaffari@riaam.ac.ir

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Dark energy model in higher-dimensional FRW universe with respect to generalized entropy of Sharma and Mittal of flat FRW space–time

Cited by 5 publications

References 12 publications

Inequalities for Jensen–Sharma–Mittal and Jeffreys–Sharma–Mittal Type f–Divergences

Inequalities for Jensen–Sharma–Mittal and Jeffreys–Sharma–Mittal Type f–Divergences

A higher dimensional cosmological model for the search of dark energy source

Black hole thermodynamics in Sharma–Mittal generalized entropy formalism

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