# Kantowski-Sachs cosmology with Vlasov matter

## TL;DR

This paper investigates Kantowski-Sachs cosmological models with Vlasov matter, revealing their asymptotic behavior and showing that massive and massless particles lead to similar singularity dynamics.

## Contribution

It provides a dynamical systems analysis of Vlasov matter in Kantowski-Sachs cosmologies, highlighting the asymptotic behavior and equivalence of massive and massless cases near singularities.

## Key findings

- Solutions are asymptotic to Kasner vacuum solutions.
- Massive and massless Vlasov matter behave similarly near singularities.
- Generic solutions exhibit specific asymptotic behavior.

## Abstract

We analyse the Kantowski-Sachs cosmologies with Vlasov matter of massive and massless particles using dynamical systems analysis. We show that generic solutions are past and future asymptotic to the non-flat locally rotationally symmetric Kasner vacuum solution. Furthermore, we establish that solutions with massive Vlasov matter behave like solutions with massless Vlasov matter towards the singularities.