paper

Construction of the cosmological model with periodically distributed inhomogeneities with growing amplitude

arXiv:2005.06385 · doi:10.1140/epjc/s10052-021-08992-2

Abstract

We construct an approximate solution to the cosmological perturbation theory around Einstein-de Sitter background up to the fourth-order perturbations. This could be done with the help of the specific symmetry condition imposed on the metric, from which follows, that the model density forms an infinite, cubic lattice. We show that the perturbative solution obtained this way can be interpreted as the exact solution to the Einstein equations for a dust-like energy-momentum tensor. In our model, it seems that physical quantities averaged over a large scales overlap with the respective Einstein-de Sitter prediction, while local observables could differ significantly from their background counterparts. As an example, we analyze in details a behaviour of the local and the global measurements of the Hubble constant, which is important in the context of a current Hubble tension problem.

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