Existence of axially symmetric static solutions of the Einstein-Vlasov system
Artikel i vetenskaplig tidskrift, 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.

Författare

Håkan Andreasson

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

Markus Kunze

Universitat Duisburg-Essen

Gerhard Rein

Universität Bayreuth

Communications in Mathematical Physics

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

Vol. 308 23-47

Ämneskategorier

Beräkningsmatematik

Astronomi, astrofysik och kosmologi

Matematisk analys

DOI

10.1007/s00220-011-1324-8