3 papers
gr-qc2026
Future Stability of Tilted Two-Fluid Bianchi I Spacetimes
Grigorios Fournodavlos, Elliot Marshall, Todd A. Oliynyk
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…
gr-qc2025
Past stability of FLRW solutions to the Einstein-Euler-scalar field equations and their big bang singularites
Florian Beyer, Todd A. Oliynyk
We establish, in spacetime dimensions , the nonlinear stability in the contracting direction of Friedmann-Lemaître-Robertson-Walker (FLRW) solutions to the Einstein-Euler…
math.AP2025
Relativistic perfect fluids near Kasner singularities
Florian Beyer, Todd A. Oliynyk
We establish the existence of a stable family of solutions to the Euler equations on Kasner backgrounds near the singularity with the full expected asymptotic data degrees of freed…