Regularity of the future event horizon in perturbations of Kerr
Abstract
The goal of the article is to show that the event horizons of the spacetimes constructed by Klainerman and Szeftel in the proof of the nonlinear stability of slowly rotating Kerr spacetimes K(a0,m0) are in fact sufficiently regular null hypersurfaces. The results remain valid for the entire range of |a0|∕m0 for which stability can be established. We show, in fact, that they depend on a much weaker set of smallness assumptions than those derived by Klainerman and Szeftel.
Fields of Study & Subjects
Astro and Planetary Science
Cosmology and Gravitation Theories
Pulsars and Gravitational Waves Research
Publication details
- Journal / source
- Duke Mathematical Journal
- Publisher
- Duke University Press
- Volume
- 175
- Issue
- 10
- Pages
- 1737–1801
- Publication date
- 13 July 2026
- Language
- EN