37 citations · 124 across the 21 of their papers we have counts for
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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…
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…
Future dynamics of FLRW for the massless-scalar field system with positive cosmological constant
Grigorios Fournodavlos
We consider solutions to the Einstein-massless-scalar field system with a positive cosmological constant, arising from sufficiently regular, near-FLRW, initial data. We establish g…
Stable Big Bang formation for Einstein's equations: The complete sub-critical regime
Grigorios Fournodavlos, Igor Rodnianski, Jared Speck
For , the generalized Kasner solutions are a family of explicit solutions to various Einstein-matter systems that start out smooth but then…
The initial boundary value problem for the Einstein equations with totally geodesic timelike boundary
Grigorios Fournodavlos, Jacques Smulevici
We prove the well-posedness of the initial boundary value problem for the Einstein equations with sole boundary condition the requirement that the timelike boundary is totally geod…
Stable space-like singularity formation for axi-symmetric and polarized near-Schwarzschild black hole interiors
Spyros Alexakis, Grigorios Fournodavlos
We show a stability result for the Schwarzschild singularity (inside the black hole region) for the Einstein vacuum equations. The result is proven in the class of polarized axial…