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math.AP2026
The linear instability of Kasner spacetimes
Oliver Petersen
We prove linear stability of Kasner spacetimes in the direction of the Big Bang, up to an explicit finite dimensional space of non-decaying self-similar solutions. The fastest grow…
math.AP2026
Dual modes in Kerr spacetimes and the Whiting transform: Mode stability revisited
Oliver Petersen, András Vasy
The purpose of the paper is to place Whiting's classical growing mode stability argument, extended to real frequencies by Shlapentokh-Rothman for the scalar wave equation and by An…