We criticize and generalize some properties of No ther charges presented in a paper by V. Iyer and R. M. Wald and their application to entropy of black holes. The first law of black holes thermodynamics is proven for any gauge natural field theory. As an application charged Kerr Newman solutions are
Entropy of three-charge black holes on a circle
✍ Scribed by T. Harmark; K.R. Kristjánsson; N.A. Obers; P.B. Rønne
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 117 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0015-8208
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
We study phases of five‐dimensional three‐charge black holes with a circle in their transverse space. In particular, when the black hole is localized on the circle we compute the corrections to the metric and corresponding thermodynamics in the limit of small mass. When taking the near‐extremal limit, this gives the corrections to the finite entropy of the extremal three‐charge black hole as a function of the energy above extremality. For the partial extremal limit with two charges sent to infinity and one finite we show that the first correction to the entropy is in agreement with the microscopic entropy by taking into account that the number of branes shift as a consequence of the interactions across the transverse circle.
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