Rotating, stationary, axially symmetric spacetimes with collisionless matter
General Relativity and Quantum Cosmology
2015-06-12 v1 Mathematical Physics
math.MP
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 .
Keywords
Cite
@article{arxiv.1212.5028,
title = {Rotating, stationary, axially symmetric spacetimes with collisionless matter},
author = {Håkan Andréasson and Markus Kunze and Gerhard Rein},
journal= {arXiv preprint arXiv:1212.5028},
year = {2015}
}
Comments
29 pages. arXiv admin note: substantial text overlap with arXiv:1006.1225