Renormalization Group approach to Inhomogeneous Cosmology

TL;DR

This paper applies the renormalization group method to inhomogeneous cosmologies, revealing soliton solutions as stable, scale-invariant asymptotic states of vacuum inhomogeneous universes.

Contribution

It introduces a novel application of the renormalization group approach to analyze the stability and asymptotic behavior of inhomogeneous cosmological models.

Findings

Soliton solutions are identified as asymptotic states.

These states are shown to be stable under certain conditions.

The method provides new insights into the large-scale structure of inhomogeneous universes.

Abstract

Soliton solutions are recovered as scale-invariant asymptotic states of vacuum inhomogeneous cosmologies using renormalization group method. The stability analysis of these states is also given.