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Rotating, Stationary, Axially Symmetric Spacetimes with Collisionless Matter

Andreasson, Håkan, 1966 (author)
Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
Kunze, Markus, 1967 (author)
Universität zu Köln,University of Cologne
Rein, Gerhard, 1957 (author)
Universität Bayreuth,University of Bayreuth
 (creator_code:org_t)
2014-02-22
2014
English.
In: Communications in Mathematical Physics. - : Springer Science and Business Media LLC. - 0010-3616 .- 1432-0916. ; 329:2, s. 787-808
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • 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.

Subject headings

NATURVETENSKAP  -- Matematik (hsv//swe)
NATURAL SCIENCES  -- Mathematics (hsv//eng)

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