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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…
math.AP2024
Future stability of perfect fluids with extreme tilt and linear equation of state for the Einstein-Euler system with positive cosmological constant: The range
Grigorios Fournodavlos, Elliot Marshall, Todd A. Oliynyk
We study the future stability of cosmological fluids, in spacetimes with an accelerated expansion, which exhibit extreme tilt behavior, ie. their fluid velocity becoming asymptotic…