63 citations · 205 across the 7 of their papers we have counts for
5 papers · 1 filter
On the steady states of the spherically symmetric Einstein-Vlasov system
Hakan Andreasson, Gerhard Rein
Using both numerical and analytical tools we study various features of static, spherically symmetric solutions of the Einstein-Vlasov system. In particular, we investigate the poss…
Global existence and nonlinear stability for the relativistic Vlasov-Poisson system in the gravitational case
Mahir Hadzic, Gerhard Rein
As is well known from the work of R. Glassey} and J. Schaeffer, the main energy estimates which are used in global existence results for the gravitational Vlasov-Poisson system do…
Stability of disk-like galaxies--Part I: Stability via reduction
Roman Firt, Gerhard Rein
We prove the existence and stability of flat steady states of the Vlasov-Poisson system, which in astrophysics are used as models of disk-like galaxies. We follow the variational a…
A non-variational approach to nonlinear stability in stellar dynamics applied to the King model
Yan Guo, Gerhard Rein
In previous work by Y. Guo and G. Rein, nonlinear stability of equilibria in stellar dynamics, i.e., of steady states of the Vlasov-Poisson system, was accessed by variational tech…
A numerical investigation of the stability of steady states and critical phenomena for the spherically symmetric Einstein-Vlasov system
Hakan Andreasson, Gerhard Rein
The stability features of steady states of the spherically symmetric Einstein-Vlasov system are investigated numerically. We find support for the conjecture by Zeldovich and Noviko…