Dynamics of gravitational collapse in the axisymmetric Einstein-Vlasov system
Journal article, 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

University of Gothenburg

Chalmers, Mathematical Sciences

Oliver Rinne

Karlsruhe University of Applied Sciences

Classical and Quantum Gravity

0264-9381 (ISSN)

Vol. 38 10 105003

Subject Categories

Computational Mathematics

Other Physics Topics

Mathematical Analysis



More information

Latest update