Analytic approximation to 5 dimensional Black Holes with one compact dimension

Details Analytic approximation to 5 dimensional Black Holes with one compact dimension Analytic approximation to 5 dimensional Black Holes with one compact dimension

2004-10-07

arxiv.org/abs/hep-th/0410078v2

Phys.Rev. D71 (2005) 024024

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 4 figures. Replaces previous version, with added references and slightly altered discussion

Scientific paper

10.1103/PhysRevD.71.024024

We study black hole solutions in $R^4\times S^1$ space, using an expansion to fourth order in the ratio of the radius of the horizon, $\mu$, 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 $\epsilon(\mu/L)^2\simeq0.1$. At the same value of $\epsilon$ the entropies of the uniform black string and of the black hole are approximately equal.

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