We review stability and instability results for self-gravitating matter distributions, where the
matter model is a collisionless gas as described by the Vlasov equation. The focus is on the …

We consider two classes of steady states of the three-dimensional, gravitational Vlasov-
Poisson system: the spherically symmetric Antonov-stable steady states (including the …

We present a deep neural network which predicts the stability of isotropic steady states of
the asymptotically flat, spherically symmetric Einstein–Vlasov system in Schwarzschild …

We numerically study the stability of collisionless equilibria in the context of general
relativity. More precisely, we consider the spherically symmetric, asymptotically flat Einstein …

We study the accretion of relativistic Vlasov gas onto a Kerr black hole, regarding the
particles as distributed throughout all of the space, rather than just in the equatorial plane …

We develop a Birman-Schwinger principle for the spherically symmetric, asymptotically flat
Einstein-Vlasov system. It characterizes stability properties of steady states such as the …

We numerically analyse solutions of the spherically symmetric gravitational Vlasov-Poisson
system close to compactly supported stable steady states. We observe either partially …

We study the dynamics of self-gravitating, collisionless matter in general relativity using the
Einstein-Vlasov system, for which we consider the spherically symmetric, asymptotically flat …

We numerically investigate the dynamics near black hole formation of solutions to the
Einstein–Vlasov system in axisymmetry. Our results are obtained using a particle-in-cell and …

In this thesis we investigate the existence of pulsating solutions of the spherically symmetric
gravitational Vlasov-Poisson system on a linear level. To this end, we linearise the system …