3 papers
gr-qc2026
Stability of the Minkowski spacetime in Newman-Unti gauge
Jonathan Luk, Sung-Jin Oh, Claude Warnick
We prove small-data global stability of the Minkowski solution to Einstein's equations in a centre-normalised outgoing null-geodesic gauge. Our scheme involves first using the $r^p…
gr-qc2026
The formation of a weak null singularity in the interior of generic rotating black holes
Jonathan Luk, Jan Sbierski
Given a characteristic initial value problem with smooth data representing a dynamical event horizon settling down to that of Kerr in the subextremal, strictly rotating range with…
math.AP2025
Late-time tail for a scalar quasilinear wave equation satisfying the weak null condition
Jonathan Luk, Sung-Jin Oh, Dongxiao Yu
We consider a class of scalar quasilinear wave equations in three spatial dimensions satisfying the weak null condition. For solutions arising from small, localized, smooth data, w…