7 papers
Ultraviolet Cascades, Norm Inflation, and the Rendall Instability for the Einstein-Euler System with Positive Cosmological Constant
Elliot Marshall
We numerically study perturbations of spatially homogeneous and orthogonal solutions to the Einstein-Euler equations with positive cosmological constant and linear equation of stat…
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…
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…
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…
Past instability of FLRW solutions of the Einstein-Euler-scalar field equations for linear equations of state with
Florian Beyer, Elliot Marshall, Todd A. Oliynyk
Using numerical methods, we examine, under a Gowdy symmetry assumption, the dynamics of nonlinearly perturbed FLRW fluid solutions of the Einstein-Euler-scalar field equations in t…