Rotating, Stationary, Axially Symmetric Spacetimes with Collisionless Matter
Journal article, 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

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Markus Kunze

University of Cologne

G. Rein

University of Bayreuth

Communications in Mathematical Physics

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

Vol. 329 2 787-808

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