Existence of axially symmetric static solutions of the Einstein-Vlasov system
arXiv:1006.1225 · doi:10.1007/s00220-011-1324-8
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.
32 pages