LAUSR

Abstract In this work, we study a non-flat Friedmann–Robertson–Walker universe filled with a pressure-less dark matter (DM) and Barrow holographic dark energy (BHDE) whose IR cutoff is the apparent horizon. Among various DE models, (BHDE) model shows the dynamical enthusiasm to discuss transition phase of the universe. According to the new research, the universe transitioned smoothly from a decelerating to an accelerating phase of expansion in the recent past. We exhibit that the development of q relies upon the type of spatial curvature. Here we study the equation of state (EoS) parameter for the BHDE model to determine the cosmological evolution for the non-flat universe. The (EoS) parameter and the deceleration parameter (DP) show the satisfactory behaviour and it does not cross the phantom line. We also plot the statefinder diagram to characterize the properties of the BHDE model by taking distinct values of the barrow exponent △ . Moreover, we likewise noticed the BHDE model in the ( ω D − ω D ′ ) plane, which can furnish us with a valuable, powerful finding to the mathematical determination of the statefinder. In the statefinder trajectory, this model was found to be able to reach the Λ C D M fixed point.