A cyclic Ricci–Gauss–Bonnet universe

In this paper, we present a simple toy model for a possible Ricci–Gauss–Bonnet gravity universe in which a novel form of cyclic evolution occurs where the Hubble parameter remains positive and oscillates. In this model, we have used the form for [Formula: see text] gravity as [Formula: see text]. In order to simulate cosmic transit, we have considered a time-dependent deceleration parameter oscillating in between the two phases of deceleration and acceleration which leads to a specific form for the Hubble parameter. The current periodic model predicts the deceleration–acceleration cosmic transit to happen at approximately [Formula: see text]. The evolution of different parameters with the redshift has been plotted and analyzed. The contributions of the entropy-corrected holographic dark energy and the modified holographic Ricci dark energy density to the total energy parameter have been investigated.