2004/10/15 by David Karasik, D. Karasik, C. Sahabandu +4 · 2 citations
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Circumference #Combinatorics #Cosmology and Gravitation Theories #Dimension (graph theory) #Geometry #Horizon #Mathematical physics #Mathematics #Order (exchange) #Physics #RADIUS #Space (punctuation) #hep-th
paper · pdf · doi:10.1103/physrevd.71.024024
published as Phys.Rev. D71 (2005) 024024 · 21 pages, 4 figures. Replaces previous version, with added references and slightly altered discussion
arxiv created 2004/10/15 · openalex publication_date 2005/01/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study black hole solutions in R4\ifmmode×\else\texttimes\fiS1 space, using an expansion to second order in the square of the ratio of the radius of the horizon, \ensuremathμ, and the circumference of the compact dimension, L. A study of geometric and thermodynamic properties indicates that the black hole fills the space in the compact dimension at ϵ=(\ensuremathμ/L)2\ensuremath≃0.1. At the same value of ϵ the entropies of the uniform black string and of the black hole are approximately equal.