Abstrakt: |
We consider the Sharma–Mittal holographic dark energy (SMHDE) model within the framework of a spatially homogeneous and isotropic flat Friedmann-Robertson-Walker (FRW) Universe by taking various values of the model parameters and , and the Hubble horizon is taken as the infrared cutoff. The deceleration parameter changes its sign from positive to negative. Hence, the SMHDE model explains the recent phase transition of the cosmos from decelerated to accelerated phase. To discriminate geometrically the SMHDE model from the Lambda — cold dark matter ( CDM), we calculate and plot the statefinder diagnostic pairs and . The evolutionary trajectory of the statefinder pair specifies the Chaplygin gas behaviour of the SMHDE model. The evolutionary trajectories of the statefinder pair of the SMHDE model approach together with the de Sitter expansion ( , ) in the future, while it evolves above the matter-dominated Universe, i.e., the standard cold dark matter (SCDM) model ( , ) at early times. Additionally, we also examine the stability of the SMHDE model through squared sound speed. [ABSTRACT FROM AUTHOR] |