99 citations · 687 across the 54 of their papers we have counts for
56 papers
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…
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…
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…
On the fractional density gradient blow-up conjecture of Rendall
Todd A. Oliynyk
On exponentially expanding Friedmann-Lemaître-Robertson-Walker (FLRW) spacetimes, there is a distinguished family of spatially homogeneous and isotropic solutions to the relativist…
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-…
Future instability of FLRW fluid solutions for linear equations of state with
Florian Beyer, Elliot Marshall, Todd A. Oliynyk
Using numerical methods, we examine the dynamics of nonlinear perturbations in the expanding time direction, under a Gowdy symmetry assumption, of FLRW fluid solutions to the Einst…