81 citations · 438 across the 34 of their papers we have counts for
28 papers · 1 filter
On the non-existence of trapped surfaces under low-regularity bounds
Jonathan Luk, Georgios Moschidis
The emergence of trapped surfaces in solutions to the Einstein field equations is intimately tied to the well-posedness properties of the corresponding Cauchy problem in the low re…
A scattering theory approach to Cauchy horizon instability and applications to mass inflation
Jonathan Luk, Sung-Jin Oh, Yakov Shlapentokh-Rothman
Motivated by the strong cosmic censorship conjecture, we study the linear scalar wave equation in the interior of subextremal strictly charged Reissner-Nordström black holes by ana…
Global nonlinear stability of large dispersive solutions to the Einstein equations
Jonathan Luk, Sung-Jin Oh
We extend the monumental result of Christodoulou-Klainerman on the global nonlinear stability of the Minkowski spacetime to the global nonlinear stability of a class of large dispe…
Nonlinear interaction of three impulsive gravitational waves II: the wave estimates
Jonathan Luk, Maxime Van de Moortel
This is the second and last paper of a series aimed at solving the local Cauchy problem for polarized symmetric solutions to the Einstein vacuum equations featuring…
Nonlinear interaction of three impulsive gravitational waves I: main result and the geometric estimates
Jonathan Luk, Maxime Van de Moortel
Impulsive gravitational waves are (weak) solutions to the Einstein vacuum equations such that the Riemann curvature tensor admits a delta singularity along a null hypersurface. The…
Asymptotically Kasner-like singularities
Grigorios Fournodavlos, Jonathan Luk
We prove existence, uniqueness and regularity of solutions to the Einstein vacuum equations taking the form $${^{(4)}g} = -dt^2 + \sum_{i,j = 1}^3 a_{ij}t^{2p_{\max\{i,j\}}}\, \mat…