Horizons of some asymptotically stationary space-times
Abstract
On a class of dynamical spacetimes which are asymptotic as $t\to\infty$ to a stationary spacetime containing a horizon $\mathcal{H}_0$, we show the existence of a unique null hypersurface $\mathcal{H}$ which is asymptotic to $\mathcal{H}_0$. This is a special case of a general unstable manifold theorem for perturbations of flows which translate in time and have a normal sink at an invariant manifold in space. Examples of horizons $\mathcal{H}_0$ to which our result applies include event horizons of subextremal Kerr and Kerr-Newman black holes as well as event and cosmological horizons of subextremal Kerr-Newman-de Sitter black holes. In the Kerr(-Newman) case, we show that $\mathcal{H}$ is equal to the boundary of the black hole region of the dynamical spacetime.
Fields of Study & Subjects
Cosmology and Gravitation Theories
Black Holes and Theoretical Physics
Advanced Differential Geometry Research
Publication details
- Journal / source
- Duke Mathematical Journal
- Publisher
- Duke University Press
- Volume
- 175
- Issue
- 7
- Pages
- 1345-1361
- Publication date
- 6 May 2026
- Language
- EN