Future Stability of Tilted Two-Fluid Bianchi I Spacetimes

TL;DR

This paper proves the future stability of tilted two-fluid Bianchi I cosmological models with a positive cosmological constant, under specific linear equations of state, contributing to understanding the long-term behavior of such universes.

Contribution

It establishes the nonlinear future stability of tilted two-fluid Bianchi I solutions with positive cosmological constant and specific linear equations of state.

Findings

Proves nonlinear stability of the models

Identifies conditions on equations of state for stability

Enhances understanding of long-term cosmological evolution

Abstract

We establish the nonlinear stability to the future of tilted two-fluid Bianchi I solutions to the Einstein-Euler equations with positive cosmological constant and linear equations of state $p_{(\mathfrak{a})}=K_{(\mathfrak{a})}\rho_{(\mathfrak{a})}$, $\mathfrak{a}\in\{1,2\}$, where $\frac{1}{3}<K_{(\mathfrak{a})}<\frac{5}{7}$.