Cosmic voids and the kinetic analysis. V. Hubble tension, the cosmological constant and aperiodic filaments

TL;DR

The paper addresses the Hubble tension and local cosmic-structure formation by applying a linearized Vlasov–Poisson framework that includes a cosmological constant. It derives a longitudinal dispersion relation $D(\mathbf{k},\omega)$ and shows that van Kampen density waves exhibit Landau damping, while the cosmological term drives aperiodic density structures in local filaments and voids. Through 1D BGK-type analyses, it treats aperiodicity as an intrinsic feature of local structures and predicts damping of these patterns with increasing filament scale. The work links the two-flow Hubble dynamics to local kinetic behavior, offering observationally testable signatures of $\Lambda$-driven aperiodicity in nearby cosmic structures and providing empirical constraints within a nonrelativistic, self-consistent framework.

Abstract

We study the appearance and specific properties of the structures in the local Universe by means of the Vlasov kinetic technique. We consider the role of the cosmological constant in local structure formation via the theorem on the general function that satisfies the identity of the gravity of the sphere and of the point mass. Then, the Hubble tension is naturally explained as a result of two flows, a local and a global one, with non-coinciding Hubble parameters. The linearized Vlasov-Poisson equation with the cosmological term is shown to lead to van Kampen's waves, Landau damping, and then to aperiodic structures. Aperiodicity thereby emerges as a intrinsic feature of the filamentary and void structure of the local Universe, and reveals the self-consistent field mechanism of its formation. The damping of the aperiodicity is then predicted and can be observationally traced upon the increase in the scale of the filaments.