Cosmological Evolution of an Anisotropic Bianchi Type-VI0 Universe with Rényi Holographic Dark Energy
Abstract
In this work, we investigate a spatially homogeneous and anisotropic Bianchi type VI0 cosmological model within the framework of General Relativity by considering a non-interacting mixture of pressureless dark matter and R'enyi holographic dark energy (RHDE), with the Hubble horizon serving as the infrared cutoff. Exact solutions of the Einstein field equations are obtained by adopting the hyperbolic scale factor a(t)=(sinh(βt))1/n. The model parameters are constrained through a Markov Chain Monte Carlo (MCMC) analysis using 77 Observational Hubble Data (OHD) measurements of the Hubble parameter, yielding the best-fit values H0=67.9km/s-1Mpc-1 and n=1.3. A comparison with the standard ΛCDM model reveals a slightly lower minimum χ2 value together with negative values of ΔAIC and ΔBIC, indicating a modest statistical preference for the proposed model. The reconstructed cosmic evolution exhibits a smooth transition from a matter-dominated decelerating phase to the present accelerated epoch, with the transition redshift lying within the observationally favored range 0.5≤zt≤0.7. Furthermore, the evolution of the matter and RHDE energy densities, dark energy pressure, equation-of-state parameter, anisotropy parameter and skewness parameter demonstrates that the model successfully reproduces the observed late-time accelerated expansion while undergoing a gradual isotropization. Overall, the proposed RHDE model provides a physically consistent and observationally viable framework for describing the late-time evolution of the Universe.
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