110 citations · 1.5k across the 55 of their papers we have counts for
57 papers
Stability and instability results for equilibria of a (relativistic) self-gravitating collisionless gas -- A review
Gerhard Rein
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…
Damping versus oscillations for a gravitational Vlasov-Poisson system
Mahir Hadzic, Gerhard Rein, Matthew Schrecker +1
We consider a family of isolated inhomogeneous steady states to the gravitational Vlasov-Poisson system with a point mass at the centre. They are parametrised by the polytropic ind…
A Birman-Schwinger Principle in General Relativity: Linearly Stable Shells of Collisionless Matter Surrounding a Black Hole
Sebastian Günther, Gerhard Rein, Christopher Straub
We develop a Birman-Schwinger principle for the spherically symmetric, asymptotically flat Einstein-Vlasov system. It characterizes stability properties of steady states such as th…
Strong Lagrangian solutions of the (relativistic) Vlasov-Poisson system for non-smooth, spherically symmetric data
Jacob Körner, Gerhard Rein
We prove a local existence and uniqueness result for the non-relativistic and relativistic Vlasov-Poisson system for data which need not even be continuous. The corresponding solut…
Collisionless equilibria in general relativity: stable configurations beyond the first binding energy maximum
Sebastian Günther, Christopher Straub, Gerhard Rein
We numerically study the stability of collisionless equilibria in the context of general relativity. More precisely, we consider the spherically symmetric, asymptotically flat Eins…
On the existence of linearly oscillating galaxies
Mahir Hadzic, Gerhard Rein, Christopher Straub
We consider two classes of steady states of the three-dimensional, gravitational Vlasov-Poisson system: the spherically symmetric Antonov-stable steady states (including the polytr…