https://doi.org/10.1140/epjc/s10052-022-10262-8
Regular Article - Theoretical Physics
Observational constraints of the modified cosmology through Barrow entropy
1
Physics Department, College of Sciences, Shiraz University, 71454, Shiraz, Iran
2
Biruni Observatory, College of Sciences, Shiraz University, 71454, Shiraz, Iran
Received:
4
October
2021
Accepted:
27
March
2022
Published online:
1
May
2022
Taking into account a fractal structure for the black hole horizon, Barrow argued that the area law of entropy is modified due to quantum-gravitational effects (Barrow in Phys Lett B 808:135643, https://doi.org/10.1016/j.physletb.2020.135643, 2020). Accordingly, the corrected entropy takes the form 
, where 
indicates the amount of the quantum-gravitational deformation effects. In this paper, based on Barrow entropy, we first derive the modified gravitational field equations through the Clausius relation. We then consider the Friedmann–Lemaître–Robertson–Walker (FLRW) metric as the background metric and derive the modified Friedmann equations inspired by Barrow entropy. In order to explore observational constraints on the modified Barrow cosmology, we employ two different combinations of available datasets, mainly “Planck + Pantheon + BAO” and “Planck + Planck-SZ + CFHTLenS + Pantheon + BAO + BAORSD” datasets. According to numerical results, we observe that the “Planck + Pantheon + BAO” dataset predicts higher values of 
in Barrow cosmology with a phantom dark energy compared to 
CDM, so tensions between low redshift determinations of the Hubble constant and cosmic microwave background (CMB) results are slightly reduced. On the other hand, in the case of dataset “Planck + Planck-SZ + CFHTLenS + Pantheon + BAO + BAORSD” there is a slight amelioration in 
tension in Barrow cosmology with a quintessential dark energy compared to the standard model of cosmology. Additionally, for a more reliable comparison, we also constrain the wCDM model with the same datasets, where our results exhibit a satisfying compatibility between Barrow cosmology and wCDM.
© The Author(s) 2022
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