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

DOI10.1512/iumj.1999.48.1636zbMath0932.35196arXivmath-ph/9810014OpenAlexW2065620151MaRDI QIDQ4270495

Gerhard Rein

Publication date: 25 November 1999

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9810014

zbMATH Keywords

relativistic caseexistence of static spherically symmetric solutionsnonrelativistic case

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) PDEs in connection with relativity and gravitational theory (35Q75) Statistical mechanics of plasmas (82D10) Galactic and stellar dynamics (85A05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (16)

On the Buchdahl inequality for spherically symmetric static shells ⋮ On static shells and the Buchdahl inequality for the spherically symmetric Einstein-Vlasov system ⋮ Stability and instability results for equilibria of a (relativistic) self-gravitating collisionless gas—a review ⋮ Stability for the spherically symmetric Einstein–Vlasov system–a coercivity estimate ⋮ Models for self-gravitating photon shells and geons ⋮ Rotating clouds of charged Vlasov matter in general relativity ⋮ The radial positive solutions of the Matukuma equation in higher dimensional space: singular solution ⋮ Multi-body spherically symmetric steady states of Newtonian self-gravitating elastic matter ⋮ Theorems on existence and global dynamics for the Einstein equations ⋮ The positive solutions of the Matukuma equation and the problem of finite radius and finite mass ⋮ The Einstein-Vlasov system/kinetic theory ⋮ Theorems on existence and global dynamics for the Einstein equations ⋮ Existence and stability of static shells for the Vlasov–Poisson system ⋮ Existence and stability of static shells for the Vlasov–Poisson system with a fixed central point mass ⋮ Existence of Static Solutions of the Einstein--Vlasov--Maxwell System and the Thin Shell Limit ⋮ Static Solutions to the Einstein--Vlasov System with a Nonvanishing Cosmological Constant

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