Existence of axially symmetric static solutions of the Einstein-Vlasov system

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

References in corpus (1)

• Static self-gravitating elastic bodies in Einstein gravity

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