Modified Renyi Holographic Dark Energy (MRHDE) in f(R, T) Theory of Gravity

In this work, we investigate the dynamics of Bianchi type VI0 space-time in the framework of f(R, T) theory of gravity where R stands for Ricci scalar and T stands for the trace of the stress energy-momentum tensor with Modified Renyi Holographic Dark Energy (MRHDE). With the specific choice of the functional f(R, T) = f(1)(R) + f(2) (T) = mu R-1+ mu T-2 where f(1)(R) and f(2) (T) are arbitrary functions of R and T respectively and mu(1) and mu(2) are two parameters, we have obtained the exact solutions of the model by considering the energy density of MRHDE and by using a law of variation for the Hubble parameter H. It is found that our model leads to the accelerated expansion of the Universe. The EOS parameter omega(DE) > -1 DE indicates that our cosmological model behaves like a quintessence dark energy model which is consistent with the recent observations. A correspondence between MRHDE and quintessence dark energy is established. The quintessence dynamics of the potential and scalar field are reconstructed, which illustrates the late-time cosmic acceleration. All physical parameters are calculated and discussed graphically.

Automated summary

This study investigates the dynamics of Bianchi type VI0 space-time in the framework of f(R, T) gravity theory with MRHDE, obtaining exact solutions with a specific functional form. The model leads to accelerated expansion of the Universe, behaving like quintessence dark energy with an EOS parameter indicating consistency with recent observations. A correspondence between MRHDE and quintessence dark energy is established, showing late-time cosmic acceleration through reconstructed dynamics of the potential and scalar field.