# Self-similarity breaking of cosmological solutions with collisionless matter

## TL;DR

This paper investigates how self-similarity breaks in Bianchi VII$_0$ cosmological models with collisionless matter, revealing late-time behavior differences from symmetric solutions and extending previous fluid-based results.

## Contribution

It extends previous work on fluid models to collisionless matter, showing self-similarity breaking in Bianchi VII$_0$ solutions with detailed late-time dynamics.

## Key findings

- Self-similarity breaking occurs in collisionless matter models.
- Detailed late-time behavior of metric and matter terms is characterized.
- Results generalize previous fluid-based findings to Vlasov matter.

## Abstract

In this paper we consider the Einstein-Vlasov system with Bianchi VII$_0$ symmetry. Under the assumption of small data we show that self-similarity breaking occurs for reflection symmetric solutions. This generalizes the previous work concerning the non-tilted fluid case \cite{WHU} to the Vlasov case, and we obtain detailed information about the late-time behaviour of metric and matter terms.