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Turbulence, Norm Inflation, and the Rendall Instability for the Einstein-Euler System with Positive Cosmological Constant
Elliot Marshall
The paper numerically investigates small‑amplitude, U(1)-symmetric perturbations of homogeneous Einstein‑Euler spacetimes with a positive cosmological constant, showing that the Re…
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…
Non-linear stability of the matter dominated universe
David Fajman, Elliot Marshall
We numerically study non-linear perturbations of the Einstein-de Sitter spacetime as a solution to the Gowdy-symmetric Einstein-Euler system for a polytropic equation of state. The…
Mixmaster Fluids Near the Big Bang
Elliot Marshall
We numerically study the approach to the singularity in -symmetric cosmological spacetimes containing a non-stiff perfect fluid satisfying a linear equation of stat…
Instability of Slowly Expanding FLRW Spacetimes
Elliot Marshall
We numerically study, under a Gowdy symmetry assumption, nonlinear perturbations of the decelerated FLRW fluid solutions to the Einstein-Euler system toward the future for linear e…