The Rényi holographic dark energy model in Chern–Simons gravity: Some cosmological implications

Abstract

In this paper, we study the Rényi holographic dark energy (HDE) model in the context of the Chern–Simons (CS) model of modified gravity theory. Different cosmological parameters, such as energy density, deceleration parameter, equation of state, square of sound speed and cosmological plane, are discussed using the Friedmann–Lemaître–Robertson–Walker spacetime background. Two separate solutions of CS field equations arise. The Rényi HDE model shows the transition from deceleration to acceleration phase which is fully consistent with the observational data while the second case represents a decelerated phase of expansion only. Our results, based on the results of the equation of state obtained, predict that the universe is under the influence of dark energy, and therefore, in an accelerated expansion phase. On the other hand, the second-case solution shows the influence of [Formula: see text]CDM. In both cases, [Formula: see text] indicated that the Rényi HDE model is in the freezing region and cosmic expansion is more accelerating in the context of CS modified gravity. It is also observed that the value of the squared sound speed, [Formula: see text], is positive [Formula: see text], a sufficient condition for the stability of the system. Hence, it is concluded that the Rényi HDE model is supported by the results of general relativity in the framework of CS modified gravity.