308 citations · 2.2k across the 72 of their papers we have counts for
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gr-qc2022★ 2 cited
Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes
Mihalis Dafermos, Gustav Holzegel, Igor Rodnianski +1
We prove global existence and decay for small-data solutions to a class of quasilinear wave equations on a wide variety of asymptotically flat spacetime backgrounds, allowing in pa…
gr-qc2022★ 5 cited
Obstruction-free gluing for the Einstein equations
Stefan Czimek, Igor Rodnianski
In this paper we develop a new approach to the gluing problem in General Relativity, that is, the problem of matching two solutions of the Einstein equations along a spacelike or c…
gr-qc2022★ 1 cited
Naked Singularities for the Einstein Vacuum Equations: The Interior Solution
Yakov Shlapentokh-Rothman
In a previous work [I. Rodnianski and Y. Shlapentokh-Rothman, Naked Singularities for the Einstein Vacuum Equations: The Exterior Solution, arXiv:1912.08478] we constructed solutio…