15 citations · 46 across the 9 of their papers we have counts for
9 papers
Quantitative phase mixing for Hamiltonians with trapping
Mahir Hadžić, Gerhard Rein, Matthew Schrecker +1
We prove quantitative decay estimates of macroscopic quantities generated by the solutions to linear transport equations driven by a general family of Hamiltonians. The associated…
Numerical experiments on stationary, oscillating, and damped spherical galaxy models
Christopher Straub
We numerically analyse solutions of the spherically symmetric gravitational Vlasov-Poisson system close to compactly supported stable steady states. We observe either partially und…
EVStabilityNet: Predicting the Stability of Star Clusters in General Relativity
Christopher Straub, Sebastian Wolfschmidt
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 c…
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…
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…
A numerical stability analysis for the Einstein-Vlasov system
Sebastian Günther, Jacob Körner, Timo Lebeda +4
We investigate stability issues for steady states of the spherically symmetric Einstein-Vlasov system numerically in Schwarzschild, maximal areal, and Eddington-Finkelstein coordin…
On the transport operators arising from linearizing the Vlasov-Poisson or Einstein-Vlasov system about isotropic steady states
Gerhard Rein, Christopher Straub
If the Vlasov-Poisson or Einstein-Vlasov system is linearized about an isotropic steady state, a linear operator arises the properties of which are relevant in the linear as well a…