Existence of Steady States of the Massless Einstein–Vlasov System Surrounding a Schwarzschild Black Hole
Journal article, 2021

We show that there exist steady states of the spherically symmetric massless Einstein–Vlasov system which surround a Schwarzschild black hole. The steady states are (thick) shells with finite mass and compact support. Furthermore we prove that an arbitrary number of shells, necessarily well separated, can surround the black hole. To our knowledge this is the first result of static self-gravitating solutions to any massless Einstein-matter system which surround a black hole. We also include a numerical investigation about the properties of the shells.


Håkan Andreasson

University of Gothenburg

Chalmers, Mathematical Sciences, Analysis and Probability Theory

Annales Henri Poincare

1424-0637 (ISSN) 1424-0661 (eISSN)

Vol. 22 12 4271-4297

Subject Categories

Computational Mathematics

Mathematical Analysis

Condensed Matter Physics



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4/5/2022 5