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arxiv: math-ph/9810014 · v1 · submitted 1998-10-22 · 🧮 math-ph · math.AP· math.MP

Static shells for the Vlasov-Poisson and Vlasov-Einstein systems

classification 🧮 math-ph math.APmath.MP
keywords sphericallystaticsymmetricsystemsvlasov-einsteinvlasov-poissoncenterdynamic
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We prove the existence of static, spherically symmetric solutions of the stellar dynamic Vlasov-Poisson and Vlasov-Einstein systems, which have the property that their spatial support is a finite, spherically symmetric shell with a vacuum region at the center.

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