179 citations · 853 across the 74 of their papers we have counts for
85 papers
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…
Microlocal analysis of the non-relativistic limit of the Klein--Gordon equation: Estimates
Andrew Hassell, Qiuye Jia, Ethan Sussman +1
This is the more technical half of a two-part work in which we introduce a robust microlocal framework for analyzing the non-relativistic limit of relativistic wave equations with…
Conditional non-linear stability of Kerr-de Sitter spacetimes in the full subextremal range
Peter Hintz, Oliver Petersen, András Vasy
We show the stability of Kerr-de Sitter black holes, in the full subextremal range, as solutions of the vacuum Einstein equation with a positive cosmological constant under the ass…
Linear stability of Kerr black holes in the full subextremal range
Dietrich Häfner, Peter Hintz, András Vasy
We prove, unconditionally, the linear stability of the Kerr family in the full subextremal range. On an analytic level, our proof is the same as that of our earlier paper in the sl…
Dirac operators and local invariants on perturbations of Minkowski space
Nguyen Viet Dang, András Vasy, Michał Wrochna
For small perturbations of Minkowski space, we show that the square of the Lorentzian Dirac operator has real spectrum apart from possible poles in a horizontal strip. Fu…
Stability of the expanding region of Kerr-de Sitter spacetimes and smoothness at the conformal boundary
Peter Hintz, András Vasy
We give a new proof of the recent result by Fournodavlos-Schlue on the nonlinear stability of the expanding region of Kerr-de Sitter spacetimes as solutions of the Einstein vacuum…