1994/10/05 by Piotr T. Chruściel, P. T. Chrusciel, R. M. Wald +1 · 148 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Combinatorics #Component (thermodynamics) #Cosmology and Gravitation Theories #Domain (mathematical analysis) #Energy condition #Event horizon #General relativity #Horizon #Mathematical analysis #Mathematics #Noncommutative and Quantum Gravity Theories #Null (SQL) #Physics #Quantum mechanics #Simply connected space #Spacetime #Theoretical physics #Topology (electrical circuits) #gr-qc
paper · pdf · doi:10.1088/0264-9381/11/12/001
published in Classical and Quantum Gravity 11(12), L147-L152 (IOP Publishing) · 7 pages, Latex
arxiv created 1994/10/05 · openalex publication_date 1994/12/01 · arxiv updated 2010/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08
We prove that the domain of outer communication of a stationary, globally hyperbolic spacetime satisfying the null energy condition must be simply connected. Under suitable additional hypotheses, this implies, in particular, that each connected component of a cross section of the event horizon of a stationary black hole must have spherical topology.