The Topological Pressure of Trapped Sets in Kerr-(de Sitter) Spacetimes
Abstract
Abstract In this paper we prove that the topological pressure of dynamical systems with normally hyperbolic trapping is negative. In particular, this applies to the null geodesic flow in Kerr and Kerr-de Sitter spacetimes. This builds a connection between results for trapped sets with low regularity in hyperbolic dynamical systems conditioning on negativity of the topological pressure and unconditional results in the setting of normally hyperbolic trapping.
Fields of Study & Subjects
Cosmology and Gravitation Theories
Black Holes and Theoretical Physics
Galaxies: Formation
Evolution
Phenomena
Publication details
- Journal / source
- Differential Equations and Dynamical Systems
- Publisher
- Springer Science and Business Media LLC
- Publication date
- 7 July 2026
- Language
- EN