37 citations · 124 across the 21 of their papers we have counts for
21 papers
A logarithmic characterization of Arakelian sets
Grigorios Fournodavlos, Vassili Nestoridis, Spyros Pasias
Arakelian's classical approximation theorem \cite{Ar} gives necessary and sufficient conditions such that functions can be uniformly approximated in (unbounded) closed sets $F\subs…
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…
A localized construction of Kasner-like singularities
Nikolaos Athanasiou, Grigorios Fournodavlos
We construct local, in spacetime, singular solutions to the Einstein vacuum equations that exhibit Kasner-like behavior in their past boundary. Our result can be viewed as a locali…
Stability of the expanding region of Kerr de Sitter spacetimes
Grigorios Fournodavlos, Volker Schlue
We prove the nonlinear stability of the cosmological region of Kerr de Sitter spacetimes. More precisely, we show that solutions to the Einstein vacuum equations with positive cosm…
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…
The initial boundary value problem in General Relativity: the umbilic case
Grigorios Fournodavlos, Jacques Smulevici
We give a short proof of local well-posedness for the initial boundary value problem in general relativity with sole boundary condition the requirement that the boundary is umbilic…