Cosmic voids and the kinetic analysis. III. Hubble tension and structure formation in the late Universe
V.G. Gurzadyan, N.N. Fimin, V.M. Chechetkin

TL;DR
This paper investigates structure formation in the late Universe using a kinetic approach with a modified gravitational potential, linking it to the Hubble tension and local flow observations, and predicts deterministic filament formation.
Contribution
It introduces a kinetic self-consistent field model with a modified potential to explain structure formation and the Hubble tension, emphasizing deterministic filament formation at local scales.
Findings
Filament formation can be deterministic at local scales.
Modified gravitational potential includes a repulsive cosmological constant term.
Structure formation criteria and scales are linked to observable parameters.
Abstract
We study structure formation in the late Universe within the Vlasov kinetic self-consistent field approach. Our work is principally focused on the use of the modified gravitational potential with a repulsive term of the cosmological constant, which is directly linked to observations that enable characterizations of the Hubble tension as the result of local and global flows. We formulate the criteria for the formation of the semi-periodic gravitating structures, along with the predictions of their quantitative scales associated with observable parameters. Our principal conclusion is that filament formation in the Local (late) Universe can proceed as a deterministic process that is distinct from the structures at larger scales that result from the essentially stochastic dynamics of density perturbations.
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