3 papers
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…
gr-qc2025
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…
math.DG2018
On the Cauchy problem for the linearised Einstein equation
Oliver Lindblad Petersen
A classical problem in general relativity is the Cauchy problem for the linearised Einstein equation (the initial value problem for gravitational waves) on a globally hyperbolic va…