Marder Type Universe with Barrow Holographic Dark Energy

Abstract

We analyse the Marder Universe in the existence of new holographic dark energy (HDE), such as the Barrow Holographic Dark Energy (BHDE), and matter accompanied by Einstein’s general relativity by the Hubble horizon cutoff, regarded as the IR cutoff. The time-dependent deceleration parameter of modified field equations is taken into account along with the metric potential relation, leading to an exponential solution and accelerated expansion (Mishra et al. Int. J. Theor. Phys. 52 2546, (2013)). We study important cosmological parameters like the EoS parameter (ωde), Om(z) diagnostics, density parameter (Ωde), cosmographic parameters, stability analysis and cosmological planes like (r − s), (r − q), and ωde − ω′ . In this work, we plot these parameters against redshift z and consider the consistency with contemporary findings. The EoS parameter projects quintom-like behaviour, and the ωde − ω′ plane varies in the freezing region, and the derived model has a stable behaviour. The results of our work indicate that the universe is an accelerating model with a rapid expansion rate.