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gr-qc2025
Dynamical Formation of Black Holes due to Boundary Effect in Vacuum Gravity
Puskar Mondal, Shing-Tung Yau
We prove the dynamical formation of a marginally outer trapped surface in pure vacuum spacetime from smooth asymptotically flat Cauchy data which initially contain no MOTS. The mec…
math.AP2025
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…
gr-qc2025
A large data result for vacuum Einstein's equations
Puskar Mondal
We prove a global well-posedness and asymptotic convergence theorem for the \((3+1)\)-dimensional vacuum Einstein equations with positive cosmological constant \(Λ\) on globally hy…