#7358. Asymptotic Stability of Minkowski Space-Time with Non-compactly Supported Massless Vlasov Matter

October 2026publication date
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Journal’s subject area:
Mathematics (miscellaneous);
Analysis;
Mechanical Engineering;
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Abstract:
We prove the global asymptotic stability of the Minkowski space for the massless Einstein–Vlasov system in wave coordinates. In contrast with previous work on the subject, no compact support assumptions on the initial data of the Vlasov field in space or the momentum variables are required. In fact, the initial decay is optimal. The present proof is based on vector field and weighted vector field techniques for Vlasov fields, as developed in previous work of Fajman, Joudioux, and Smulevic.
Keywords:
Asymptotic stability; Vlasov matter; space-time

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