Vorträge in der Woche 28.02.2022 bis 06.03.2022

Donnerstag, 03.03.2022: Stabilising relativistic fluids on slowly expanding cosmological spacetimes

Dr. Zoe Wyatt (Cambridge University, UK)

On a background Minkowski spacetime, the relativistic Euler equations are known, for a relatively general equation of state, to admit unstable homogeneous solutions with finite-time shock formation. By contrast, such shock formation can be suppressed on background cosmological spacetimes whose spatial slices expand at an accelerated rate. The critical case of linear, i.e. zero-accelerated, spatial expansion, is not as well understood. In this talk, I will present recent work concerning the relativistic Euler and the Einstein-Dust equations for geometries expanding at a linear rate. This is based on joint works with David Fajman, Todd Oliynyk and Max Ofner.