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general relativity 1Hamiltonian stability 1hyperbolic manifolds 1scalar curvature 1volume stability 1

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20242026
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math.AP2026

Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System

Nikolaos Athanasiou, Puskar Mondal, Shing-Tung Yau

In this article, we study the Einstein-Vlasov system for massless particles. Our main contribution is the provision of a novel method for controlling the Vlasov matter in a double…