5 papers
An analogue of non-interacting quantum field theory in Riemannian signature
Mikhail Molodyk, András Vasy
In this paper, we define a model of non-interacting quantum fields satisfying on a Riemannian scattering space with two boundary components, i.e. a manifo…
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, MichaŠWrochna
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…