Small Black Holes on Cylinders
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 hep-th/0204047. 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.
Cite
@article{arxiv.hep-th/0310259,
title = {Small Black Holes on Cylinders},
author = {Troels Harmark},
journal= {arXiv preprint arXiv:hep-th/0310259},
year = {2009}
}
Comments
23 pages, 1 figure. v2: typos corrected, introduction expanded, v3: presentation of sections 2 and 3 reordered and improved, explanatory remarks added, refs added