5 papers
Sharp lifespan results for plane-symmetric fluids on decelerated spacetimes
Maximilian Ofner, Todd Oliynyk
In this article, we analyze plane-symmetric solutions to the relativistic Euler equations on spatially flat spacetimes with decelerated expansion. We consider a linear equation of…
Big bang stability and isotropisation for the Einstein-scalar field equations in the ekpyrotic regime
Florian Beyer, David Garfinkle, James Isenberg +1
It has been shown that, in spacetime dimensions , that the Kasner-scalar field solutions to the Einstein-scalar fields equations with potential , where $s<s_…
A critical threshold for the cosmological Euler-Poisson system
David Fajman, Maciej Maliborski, Maximilian Ofner +2
We consider the gravitational Euler-Poisson system with a linear equation of state on an expanding cosmological model of the Universe. The expansion of the spatial sections introdu…
Stability of fluids in spacetimes with decelerated expansion
David Fajman, Maximilian Ofner, Todd Oliynyk +1
We prove the nonlinear stability of homogeneous barotropic perfect fluid solutions in fixed cosmological spacetimes undergoing decelerated expansion. The results hold provided a sp…
Phase transition between shock formation and stability in cosmological fluids
David Fajman, Maciej Maliborski, Maximilian Ofner +2
We demonstrate a novel phase transition from stable to unstable fluid behaviour for fluid-filled cosmological spacetimes undergoing decelerated expansion. This transition occurs wh…