Turbulence in general relativity

Abstract: In the presence of confinement, the Einstein field equations are expected to exhibit turbulent dynamics. One way to introduce confinement to the equations is by imposing a negative value for the cosmological constant and study the evolution of solutions with Anti-de Sitter asymptotics. In this talk, we will first discuss the dynamics of the Einstein equations in the case of small perturbations of pure AdS spacetime. We will then proceed to show how weak turbulence arises in a quasilinear toy model for the vacuum Einstein equations in the exterior of a Schwarzschild-AdS black hole. This is joint work with Christoph Kehle.