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

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

2010-06-07

arxiv.org/abs/1006.1225v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

32 pages

Scientific paper

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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