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Cosmic consequences of Barrow holographic dark energy with Granda–Oliveros cut-off in fractal cosmology

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Abstract

In a fractal world with matter (pressureless) and dark energy, we examine the recently proposed Barrow holographic dark energy model with the Granda–Oliveros IR cutoff. We depict our model Hubble parameter evolution by comparing it with the most recent cosmic chronometer data, which consists of 31 H(z) data points with 1 \(\sigma \) error bars. Also, we compare the derived model against the concordance \(\Lambda \)CDM model by using the dimensionless Hubble parameter E(z). Additionally, we show the evolution of the distance modulus \(\mu (z)\) for the derived model and compare with the 580 data points of Type Ia Supernovae (Union 2.1 compilation) dataset. The consequences of the model are discussed through different cosmological parameters which describe that in the recent past, the transition of the universe’s expansion from the decelerated to an accelerated stage happened smoothly. Moreover, we demonstrate that this could be an answer for the thermal history of the universe, including the order of matter and dark energy phases. The equation of state for dark energy is also impacted by the new Barrow exponent \(\Delta \), which, depending on its value, may cause it to lie in the quintessence regime, the phantom regime, or undergo the phantom-divide crossing during evolution.

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Acknowledgements

The authors are thankful to the anonymous referee whose useful suggestions have improved the quality of the paper.

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  1. Department of Physics, Vivekananda Satavarshiki Mahavidyalaya (affiliated to the Vidyasagar University), Manikpara, West Bengal, 721513, India

    Abdulla Al Mamon

  2. Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura, Uttar Pradesh, 281 406, India

    Umesh Kumar Sharma, Mukesh Kumar & Ambuj Kumar Mishra

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  1. Abdulla Al Mamon
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Al Mamon, A., Sharma, U.K., Kumar, M. et al. Cosmic consequences of Barrow holographic dark energy with Granda–Oliveros cut-off in fractal cosmology. Gen Relativ Gravit 55, 74 (2023). https://doi.org/10.1007/s10714-023-03126-3

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