Small black holes on cylinders

2003/10/31 by Troels Harmark · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Physics #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.69.104015

published as Phys.Rev. D69 (2004) 104015 · 23 pages, 1 figure. v2: typos corrected, introduction expanded, v3: presentation of sections 2 and 3 reordered and improved, explanatory remarks added, refs added

arxiv created 2004/02/24 · openalex publication_date 2004/05/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We find the metric of small black holes on cylinders, i.e. neutral and static black holes with a small mass in d-dimensional Minkowski space times a circle. The metric is found using an ansatz for black holes on cylinders proposed in J. High Energy Phys. 05, 032 (2002). We use the new metric to compute corrections to the thermodynamics which is seen to deviate from that of the (d+1)-dimensional Schwarzschild black hole. Moreover, we compute the leading correction to the relative binding energy which is found to be non-zero. We discuss the consequences of these results for the general understanding of black holes and we connect the results to the phase structure of black holes and strings on cylinders.

Citations

• Speculative generalization of black hole uniqueness to higher dimensions
• Playing with Black Strings
• Collinear particles and bondi dipoles in general relativity
• Black holes in a compactified spacetime
• New phase diagram for black holes and strings on cylinders
• Black strings andp-branes are unstable
• From black strings to black holes
• Black holes on cylinders are not algebraically special

Cited by

• Notes on ten-dimensional localized black holes and deconfined states in two-dimensional SYM
• Black rings, boosted strings, and Gregory-Laflamme instability