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Analytic approximation to 5 dimensional Black Holes with one compact dimension

D. Karasik·C. Sahabandu·P. Suranyi·L. C. R. Wijewardhana
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Abstract

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, $μ$, 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 $ε(μ/L)^2\simeq0.1$. At the same value of $ε$ the entropies of the uniform black string and of the black hole are approximately equal.

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D. Karasik, C. Sahabandu, P. Suranyi, L. C. R. Wijewardhana. 2004-10-15. Analytic approximation to 5 dimensional Black Holes with one compact dimension. https://doi.org/10.1103/physrevd.71.024024

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