Dynamics of gravitational collapse in the axisymmetric Einstein-Vlasov system
Artikel i vetenskaplig tidskrift, 2021

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 finite difference code based on the (2 + 1) + 1 formulation of the Einstein field equations in axisymmetry. Solutions are launched from non-stationary initial data and exhibit type I critical behaviour. In particular, we find lifetime scaling in solutions containing black holes, and support that the critical solutions are stationary. Our results contain examples of solutions that form black holes, perform damped oscillations, and appear to disperse. We prove that complete dispersal of the solution implies that it has nonpositive binding energy.

Vlasov equation

critical collapse

general relativity

numerical relativity


Ellery Ames

Humboldt State University

Håkan Andreasson

Göteborgs universitet

Chalmers, Matematiska vetenskaper

Oliver Rinne

Hochschule Karlsruhe - Technik und Wirtschaft

Classical and Quantum Gravity

0264-9381 (ISSN)

Vol. 38 10 105003



Annan fysik

Matematisk analys



Mer information

Senast uppdaterat