8 citations · 24 across the 25 of their papers we have counts for
4 papers · 1 filter
Compact Proof of the Positivity of Quasi-Local Masses for a class of Initial Data
Puskar Mondal, Shing-Tung Yau
We prove a purely quasi-local positivity theorem for the Wang--Yau mass for a class of initial data whose Jang deformation, after a boundary-preserving conformal reduction to zero…
Boundary-Geometry-Driven Black Hole Formation in Vacuum
Dipanjan Dey, Puskar Mondal, Shing-Tung Yau
We identify a boundary-geometry-driven mechanism for the dynamical formation of marginally outer trapped surfaces (MOTSs) in vacuum general relativity. Mild three-dimensional aniso…
Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data
Nikolaos Athanasiou, Puskar Mondal, Shing-Tung Yau
We establish a trapped surface formation theorem for the spherically symmetric Einstein Yang Mills equations in a double-null gauge. The theorem concerns characteristic initial dat…
Volume Stability for Hyperbolic Manifolds and Applications to General Relativity
Puskar Mondal, Shing-Tung Yau
We prove a sharp volume-stability theorem for closed hyperbolic three-manifolds. Let \((M,h)\) be closed hyperbolic with \(\operatorname{Ric}_h=-2h\), and let \(g_i\) be smooth met…