Universität zu Köln

Andreasson, Hakan ORCID: 0000-0003-4953-6001, Kunze, Markus and Rein, Gerhard (2014). Rotating, Stationary, Axially Symmetric Spacetimes with Collisionless Matter. Commun. Math. Phys., 329 (2). S. 787 - 809. NEW YORK: SPRINGER. ISSN 1432-0916

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Abstract

The existence of stationary solutions to the Einstein-Vlasov system which are axially symmetric and have non-zero total angular momentum is shown. This provides 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 .

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Andreasson, Hakan UNSPECIFIED orcid.org/0000-0003-4953-6001 UNSPECIFIED Kunze, Markus UNSPECIFIED UNSPECIFIED UNSPECIFIED Rein, Gerhard UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-435533
DOI:	10.1007/s00220-014-1904-5
Journal or Publication Title:	Commun. Math. Phys.
Volume:	329
Number:	2
Page Range:	S. 787 - 809
Date:	2014
Publisher:	SPRINGER
Place of Publication:	NEW YORK
ISSN:	1432-0916
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language EXISTENCE; MODELS Multiple languages Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/43553