Uniqueness theorem of static degenerate and nondegenerate charged black holes in higher dimensions

2003/02/13 by Marek Rogatko · 3 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Degenerate energy levels #Event horizon #Geometry #Horizon #Hypersurface #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum mechanics #Spacetime #Uniqueness #Uniqueness theorem for Poisson's equation #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.67.084025

published as Phys.Rev. D67 (2003) 084025 · 9 pages, RevTex, to be published in Phys.Rev.D15

arxiv created 2003/02/13 · openalex publication_date 2003/04/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We prove the uniqueness theorem for a static higher dimensional charged black hole spacetime containing an asymptotically flat spacelike hypersurface with a compact interior and with both degenerate and nondegenerate components of the event horizon.

Citations

• On the proof of the positive mass conjecture in general relativity
• The Hierarchy Problem and New Dimensions at a Millimeter
• Classical black hole production in high-energy collisions
• A new proof of the positive energy theorem

Cited by

• Heterotic horizons, Monge-Ampère equation and del Pezzo surfaces
• Stationary Black Holes: Uniqueness and Beyond
• Complex scalar field in strictly stationary Einstein-Maxwell-axion-dilaton spacetime with negative cosmological constant