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Rotating, Stationary, Axially Symmetric Spacetimes with Collisionless Matter

Håkan Andréasson (Institutionen för matematiska vetenskaper, matematik) ; Markus Kunze ; Gerhard Rein
Communications in Mathematical Physics (0010-3616). Vol. 329 (2014), 2, p. 787-808.
[Artikel, refereegranskad vetenskaplig]

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.

Denna post skapades 2014-06-17. Senast ändrad 2014-06-23.
CPL Pubid: 199292


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