Late-time behaviour of the Einstein-Vlasov system with Bianchi I symmetry

TL;DR

This paper investigates the late-time dynamics of the Einstein-Vlasov system with Bianchi I symmetry, demonstrating that it closely follows the Einstein-dust system near its attractor, extending understanding of homogeneous cosmological models.

Contribution

It shows that the late-time behavior of the Einstein-Vlasov system in Bianchi I spacetimes can be approximated by the Einstein-dust system near its stationary attractor.

Findings

Einstein-Vlasov system's late-time behavior is similar to Einstein-dust system.

Approximation holds near the unique stationary solution.

Provides insights into homogeneous cosmological evolution.

Abstract

The late-time behaviour of the Einstein-dust system is well understood for homogeneous spacetimes. For the case of Bianchi I we have been able to show that the late-time behaviour of the Einstein-Vlasov system is well approximated by the Einstein-dust system assuming that one is close to the unique stationary solution which is the attractor of the Einstein-dust system.