Abstract
In this study, a higher-dimensional flat Friedmann–Robertson–Walker (FRW) universe model filled with pressureless matter and Rényi holographic dark energy is investigated within the framework of self-creation cosmology. By adopting a specific parametrization of the Hubble parameter, exact analytical solutions of the field equations are obtained, and the cosmological dynamics of the model are analyzed. The results show that the model consistently describes an expanding universe with a dynamically evolving dark energy component. The equation of state parameter ω evolves toward negative values at late cosmic times and remains within the quintessence region, providing a consistent description of late-time accelerated expansion without entering the phantom domain. Furthermore, the self-creation scalar field Φ is found to be constant, implying that the field equations effectively reduce to a form equivalent to General Relativity with a modified coupling term. Thus, the model does not yield an independent dynamical self-creation solution but instead corresponds to the General Relativity limit of the theory. Despite this reduction, the inclusion of Rényi holographic dark energy leads to a physically viable cosmological scenario.
| Keywords: | Self Creation Cosmology FRW Universe Higher Dimensional Cosmology Rényi Holographic Dark Energy Hubble Parameter Parametrization |