Global existence of solutions to the spherically symmetric Einstein-Vlasov-Maxwell system

DOI10.1007/s10440-024-00632-7OpenAlexW4391167445WikidataQ129438896 ScholiaQ129438896MaRDI QIDQ6199568

Pierre Noundjeu, Timothée Raoul Moutngui See

Publication date: 28 February 2024

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-024-00632-7

zbMATH Keywords

spherical symmetryshift vectorFermi derivativeMalec's estimate

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Einstein-Maxwell equations (83C22)

Cites Work

• Global existence of solutions of the spherically symmetric Vlasov- Einstein system with small initial data
• The global nonlinear stability of Minkowski space for the massless Einstein-Vlasov system
• Local existence and continuation criterion for solutions of the spherically symmetric Einstein-Vlasov-Maxwell system
• Asymptotic stability of Minkowski space-time with non-compactly supported massless Vlasov matter
• Global stability of Minkowski space for the Einstein-Vlasov system in the harmonic gauge
• The Einstein–Vlasov–Maxwell (EVM) system with spherical symmetry
• The Large Scale Structure of Space-Time
• The stability of the Minkowski space for the Einstein-Vlasov system

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