Existence of axially symmetric static solutions of the Einstein-Vlasov system
Journal article, 2011

We prove the existence of static, asymptotically flat non-vacuum spacetimes with axial symmetry where the matter is modeled as a collisionless gas. The axially symmetric solutions of the resulting Einstein-Vlasov system are obtained via the implicit function theorem by perturbing off a suitable spherically symmetric steady state of the Vlasov-Poisson system.


Håkan Andreasson

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Markus Kunze

University of Duisburg-Essen

Gerhard Rein

University of Bayreuth

Communications in Mathematical Physics

0010-3616 (ISSN) 1432-0916 (eISSN)

Vol. 308 1 23-47

Subject Categories

Computational Mathematics

Astronomy, Astrophysics and Cosmology

Mathematical Analysis



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