71 citations · 267 across the 38 of their papers we have counts for
8 papers · 1 filter
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…
Dynamical black holes with prescribed masses in spherical symmetry
Jonathan Luk, Sung-Jin Oh, Shiwu Yang
We review our recent work on a construction of spherically symmetric global solutions to the Einstein--scalar field system with large bounded variation norms and large Bondi masses…
Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data II. The exterior of the black hole region
Jonathan Luk, Sung-Jin Oh
This is the second and last paper of a two-part series in which we prove the -formulation of the strong cosmic censorship conjecture for the Einstein-Maxwell-(real)-scalar-fie…
Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data I. The interior of the black hole region
Jonathan Luk, Sung-Jin Oh
This is the first and main paper of a two-part series, in which we prove the -formulation of the strong cosmic censorship conjecture for the Einstein-Maxwell-(real)-scalar-f…
Solutions to the Einstein-scalar-field system in spherical symmetry with large bounded variation norms
Jonathan Luk, Sung-Jin Oh, Shiwu Yang
It is well-known that small, regular, spherically symmetric characteristic initial data to the Einstein-scalar-field system which are decaying towards (future null) infinity give r…
Proof of linear instability of the Reissner-Nordström Cauchy horizon under scalar perturbations
Jonathan Luk, Sung-Jin Oh
It has long been suggested that solutions to linear scalar wave equation on a fixed subextremal Reissner-Nordström spacetime with non-vanishing charge are generically…
Quantitative decay rates for dispersive solutions to the Einstein-scalar field system in spherical symmetry
Jonathan Luk, Sung-Jin Oh
In this paper, we study the future causally geodesically complete solutions of the spherically symmetric Einstein-scalar field system. Under the a priori assumption that the scalar…