Small Black Holes on Cylinders

Details Small Black Holes on Cylinders Small Black Holes on Cylinders

2003-10-28

arxiv.org/abs/hep-th/0310259v3

Phys.Rev. D69 (2004) 104015

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 1 figure. v2: typos corrected, introduction expanded, v3: presentation of sections 2 and 3 reordered and improved, e

Scientific paper

10.1103/PhysRevD.69.104015

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.

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