Existence of axially symmetric static solutions of the Einstein-Vlasov system
General Relativity and Quantum Cosmology
2015-05-19 v1
Abstract
We prove the existence of static, asymptotically flat non-vacuum spacetimes with axial symmetry where the matter is modeled as a collisionless gas. The axially symmetric solutions of the resulting Einstein-Vlasov system are obtained via the implicit function theorem by perturbing off a suitable spherically symmetric steady state of the Vlasov-Poisson system.
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Cite
@article{arxiv.1006.1225,
title = {Existence of axially symmetric static solutions of the Einstein-Vlasov system},
author = {Hakan Andreasson and Markus Kunze and Gerhard Rein},
journal= {arXiv preprint arXiv:1006.1225},
year = {2015}
}
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32 pages