139 citations · 1.1k across the 35 of their papers we have counts for
35 papers
Proof of the Einstein quadrupole formula for solutions of the Einstein-Vlasov system close to Minkowski spacetime
Érik Amorim, Håkan Andréasson, Markus Kunze
We rigorously derive the quadrupole formula within the context of the Einstein-Vlasov system. The main contribution of this work is an estimate of the remainder terms, derived from…
Static solutions to the spherically symmetric Einstein-Vlasov system: a particle-number-Casimir approach
Håkan Andréasson, Markus Kunze
Existence of spherically symmetric solutions to the Einstein-Vlasov system is well-known. However, it is an open problem whether or not static solutions arise as minimizers of a va…
Existence of steady states of the massless Einstein-Vlasov system surrounding a Schwarzschild black hole
Håkan Andréasson
We show that there exist steady states of the massless Einstein-Vlasov system which surround a Schwarzschild black hole. The steady states are (thick) shells with finite mass and c…
Dynamics of gravitational collapse in the axisymmetric Einstein-Vlasov system
Ellery Ames, Håkan Andréasson, Oliver Rinne
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…
Comments on the paper 'Static solutions of the Vlasov-Einstein system' by G. Wolansky
Håkan Andréasson, Markus Kunze
In this note we address the attempted proof of the existence of static solutions to the Einstein-Vlasov system as given in \cite{Wol}. We focus on a specific and central part of th…
On Axisymmetric and Stationary Solutions of the Self-Gravitating Vlasov System
Ellery Ames, Håkan Andréasson, Anders Logg
Axisymmetric and stationary solutions are constructed to the Einstein--Vlasov and Vlasov--Poisson systems. These solutions are constructed numerically, using finite element methods…