https://doi.org/10.1140/epjc/s10052-022-10927-4
Regular Article - Theoretical Physics
Observational constraints on the fractal cosmology
1
Department of Physics, College of Sciences, Shiraz University, 71454, Shiraz, Iran
2
Biruni Observatory, College of Sciences, Shiraz University, 71454, Shiraz, Iran
a
mahnaz.asghari@shirazu.ac.ir
Received:
3
August
2022
Accepted:
14
October
2022
Published online:
29
October
2022
In this paper, we explore a fractal model of the universe proposed by Calcagni (J High Energy Phys 03:120, 2010) for a power-counting renormalizable field theory living in a fractal spacetime. Considering a timelike fractal profile, we derived field equations in fractal cosmology, in order to explore the structure formation and the expansion history in fractal universe. Numerical investigations based on matter power spectra diagrams report higher structure growth in fractal cosmology, being in contrast to local galaxy surveys. Additionally, according to the evolution of Hubble parameter diagrams, it can be understood that Hubble constant would decrease in fractal cosmology, which is also incompatible with low redshift estimations of 
. So, concerning primary numerical studies, it seems that fractal cosmology is not capable to alleviate the tensions between local and global observational probes. Then, in pursuance of more accurate results, we constrain the fractal cosmology by observational data, including Planck cosmic microwave background (CMB), weak lensing, supernovae, baryon acoustic oscillations (BAO), and redshift-space distortions (RSD) data. The derived constraints on fractal dimension 
indicate that there is no considerable deviation from standard model of cosmology.
© The Author(s) 2022
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