Tsallis holographic dark energy in fractal universe

Abstract

We study the cosmological consequences of interacting Tsallis holographic dark energy model in the framework of the fractal universe, in which, the Hubble radius is considered as the IR cut-off. We drive the equation of state (EoS) parameter, deceleration parameter and the evolution equation for the Tsallis holographic dark energy density parameter. Our study shows that this model can describe the current accelerating Universe in both noninteracting and interacting scenarios, and also a transition occurs from the deceleration phase to the accelerated phase, at the late time. Finally, we check the compatibility of free parameters of the model with the latest observational results by using the Pantheon supernovae data, eBOSS, 6df, BOSS DR12, CMB Planck 2015, Gamma-Ray Burst.

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

“…As already discussed in Sect. 2, the functional form of Q is chosen in such a way that it reproduces well known and most used interactions in the literature for some specific values of the model parameters b 1 and b 2 [35,40,41,65,[69][70][71].…”

“…where, the parameters b 1 and b 2 are dimensionless constants. This type of functional forms of Q has been studied recently by several authors [65][66][67][68][69] and the particular cases [40,41]. Therefore, the general form of Q, given by Eq.…”

“…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.…”

Cosmic Consequences of Kaniadakis and Generalized Tsallis Holographic Dark Energy Models in the Fractal Universe

“…The fractal profile is either timelike or spacelike. We have chosen the timelike fractal profile in the power law form as υ = a −γ [36,55] with a being the scale factor depending upon cosmic time t and γ being a positive constant. In the fractal universe, the Friedmann equations can be obtained as…”

“…A lot of work has been done by Dubey et al [31], Sharma et al [32][33][34], Srivastava et al [35], and Ghaffari et al [17,36] on cosmic expansion in various theories of gravity by using recently obtained DE models such as new Tsallis HDE (NTHDE), Réyni HDE (RHDE), and Barrow HDE (BHDE). They have made versatile studies on accelerated expansion of the universe through various cosmological parameters and planes and found consistent results with recent Planck's data [37].…”