2003/02/28 by Andrei V. Frolov, Valeri P. Frolov · 2 citations
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Charged black hole #Classical mechanics #Compactification (mathematics) #Cosmology and Gravitation Theories #Event horizon #General relativity #Horizon #Mathematics #Photon sphere #Physics #Pure mathematics #Quantum mechanics #Schwarzschild metric #Schwarzschild radius #Spacetime #Theoretical physics #White hole #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.67.124025
published as Phys.Rev. D67 (2003) 124025 · 12 pages, 6 figures, RevTeX 3.1; references added
arxiv created 2003/04/03 · openalex publication_date 2003/06/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We discuss the properties of a 4-dimensional Schwarzschild black hole in a spacetime where one of the spatial dimensions is compactified. As a result of the compactification the event horizon of the black hole is distorted. We use Weyl coordinates to obtain the solution describing such a distorted black hole. This solution is a special case of the Israel-Khan metric. We study the properties of the compactified Schwarzschild black hole, and develop an approximation which allows one to find the size, shape, surface gravity, and other characteristics of the distorted horizon with a very high accuracy in a simple analytical form. We also discuss the possible instabilities of a black hole in compactified space.