Narrow Results

In this work, new Tsallis holographic dark energy (NTHDE) with future event horizon as IR-cutoff is constructed in a non-flat Friedmann–Lemaitre–Robertson–Walker Universe. The accelerating expansion phase of the universe is described by using deceleration parameter, equation of state parameter and density parameter by using different values of NTHDE parameter “$\delta$” and “$c$”. We specifically derive the differential equations for the dark-energy density parameter (DP) and hence the equation of state parameter (EoS) by taking into account closed and open spatial geometry. In both a closed and an open universe, the equation of state parameter exhibits pure quintessence behavior for $c>1$, quintom behavior for $c<1$, and $\mathrm{\Lambda }$CDM model recovery for $c=1$. We can see the phase changes from deceleration to acceleration at $z\approx 0.6$ by tracking the evolution of the deceleration parameter. As inferred from the evolution of the Hubble parameter, NTHDE in a non-flat universe precisely matches Hubble data. Stability of our model by analyzing the squared speed of sound is investigated as well.

In this paper, we study the holographic dark energy model proposed by Li from the statefinder viewpoint. We plot the evolutionary trajectories of the model with c = 1 in the statefinder parameter-planes. The statefinder diagrams characterize the properties of the holographic dark energy and show the discrimination between this scenario and other dark energy models. We also perform a statefinder diagnostic to the holographic dark energy model in cases of different c which given by three fits to observational data. The result indicates that from the statefinder viewpoint c plays a significant role in this model and should thus be determined seriously by future high precision experiments.

This paper explores the quintessence reconstruction and statefinder perspective of Kaniadakis holographic dark energy model in a flat universe with future event horizon as an IR-cutoff. The cosmological parameters of this model were re-examined from the quintessence behavior aspect. Also we reconstruct, $V({\varphi }_Q)$, the potential of quintessence scalar field, which shows the best fit with joint analysis data of JLA+CC+BAO for the priors $H_0=69.6\pm 0.7$, $H_0=73.24\pm 1.74$. In the $w_{\mathrm{\text{DE}}}$–${ẁ}_{\mathrm{\text{DE}}}$ phase space, the freezing-tracker model represents our canonical scalar field. This model exhibits quintessence behavior in the statefinder ($r$–$s$) plane for model parameters $c$ and $\beta$ that are close to $1$ and $0$. The present values of deceleration $q_0$, statefinder $(r_0,s_0)$, jerk $j_0$ and model parameters $\beta ,c$ are consistent with the limits of the observational data. Using the distance modulus $\mu$, we also fit 580 SN Type I Union2.1 data sets to our model.