Tsallis agegraphic dark energy model

Abstract

Not affiliated with any institution, Kazerun, Iran.The cosmological implications of interacting and non-interacting new Tsallis agegraphic dark energy with cold dark matter in the framework of flat Fractal cosmology is discussed. The physical significant of statefinder diagnostics and ωD − ω ′ D plane in both interacting and non-interacting scenarios are also invetigated. The study shows that the equation of state (EoS) parameter corresponds to the quintessence region in both interacting and non-interacting scenarios. The v 2 s analysis is also signalling us to a classically unstable model in both cases. We find that ωD − ω ′ D plane describes the freezing region and also corresponds to ΛCDM at the beginning of the evolution.

Different Faces of Generalized Holographic Dark Energy

“…In the studies, we found that the FRW equations can be also regarded as the first law of thermodynamics when we consider the Bekenstein-Hawking entropy by using the cosmological apparent horizon [83][84][85] as a realization of the thermodynamics of space-time [80]. If, however, there are long range forces, such as the electromagnetic force and the gravitational force, we know that the systems are non-additive systems and the standard Boltzmann-Gibbs additive entropy should not be applied and we should generalize the entropy to the non-extensive Tsallis entropy [49][50][51], and recently there were several attempts in this regard (see [52][53][54][55][56][57][58][59][60][61][62]). If we apply Tsallis entropy to the black hole, instead of Bekenstein-Hawking entropy, one finds [52],…”

“…In the present paper, we intend to address the above questions. For this purpose, we consider several entropic DE models, such as the Tsallis entropic DE [49][50][51][52][53][54][55][56][57][58][59][60][61][62], the Rényi entropic DE [63][64][65][66][67][68], and the Sharma-Mittal entropic DE [67,69,70]. Here it may be mentioned that unlike the Tsallis and Rényi entropy functions, Sharma-Mittal entropy represents a more general two-parameter function.…”

A generalized interacting Tsallis holographic dark energy model and its thermodynamic implications

“…In particular, a new HDE model has been proposed by using the holographic hypothesis and the Tsallis entropy [33], named Tsallis holographic dark energy (THDE) [34,35]. As a result, recently, several THDE models have been investigated and explored in different scenarios with an aim to search for the dynamics of the universe and one can look into [36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51] for a comprehensive review.…”

Alternate Land Use Options for Livelihood Security of the Farmers - A Case Study of Chhata tehsil, Mathura District, Uttar Pradesh, India

“…Recently, four new holographic dark energy models (HDE) [33][34][35][36] have been introduced to associate multiple generalized entropies of the FRW Universe horizon. In the present work, the focus is on the Tsallis holographic dark energy [33] inspired by the Tsallis entropy [30].…”

“…The point that practicing system horizon in the Tsallis statistics, we can achieve the Bekenstein entropy, which is the determination of all these efforts [37,38]. The authors also exposed adequate stability by the concerned models [33][34][35][36]. To examine the cosmological and gravitational systems of the generalized statistical mechanics [39][40][41][42][43][44][45][46] framework, positively a crucial role is performed by Tsallis definition of entropy [30].…”