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

1998/10/22 by Gerhard Rein
Physics and Astronomy · Mathematics · #math-ph #math.AP #math.MP #msc:85A05 #msc:35Q75

paper · pdf

published as Indiana Univ. Math. J. 48, 335 - 346 (1999) · 14 pages, LaTeX

arxiv created 1998/10/22 · arxiv updated 2009/11/30

Abstract

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.

Related

• Stationary and static stellar dynamic models with axial symmetry
• Static solutions of the spherically symmetric Vlasov-Einstein system
• Static spherically symmetric Einstein-Vlasov bifurcations of the\n Schwarzschild spacetime
• Focusing solutions of Vlasov-Poisson equation on a spherical shell
• Existence of Static Solutions of the Einstein-Vlasov-Maxwell System and the Thin Shell Limit