Rotating, Stationary, Axially Symmetric Spacetimes with Collisionless Matter
Artikel i vetenskaplig tidskrift, 2014

The existence of stationary solutions to the Einstein–Vlasov system which are axially symmetric and have non-zero total angular momentum is shown. This pro- vides mathematical models for rotating, general relativistic and asymptotically flat non- vacuum spacetimes. If angular momentum is allowed to be non-zero, the system of equations to solve contains one semilinear elliptic equation which is singular on the axis of rotation. This can be handled very efficiently by recasting the equation as one for an axisymmetric unknown on R 5.


Håkan Andreasson

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Markus Kunze

Universitat zu Koln

G. Rein

Universitat Bayreuth

Communications in Mathematical Physics

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

Vol. 329 787-808