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

Abstract: The appearance and specific properties of the structures in the local Universe are studied by means of the Vlasov kinetic technique. The role of the cosmological constant in the local structure formation is considered via the theorem on the general function satisfying the identity of the gravity of sphere and of point mass. Then, the Hubble tension is naturally explained as a result of two flows, local and 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, of Landau damping and then to aperiodic structures. The aperiodicity thus is emerging as a intrinsic feature of the filamentary and void structure of the local Universe, revealing the self-consistent field mechanism of its formation. The damping of the aperiodicity then is predicted and can be observationally traced upon the increase of the scale of the filaments.