Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-06-26
JHEP 0701:023,2007
Physics
High Energy Physics
High Energy Physics - Theory
58 pages, 10 figures; v2: Corrected typos, version appearing in JHEP
Scientific paper
10.1088/1126-6708/2007/01/023
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 constant 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. Beyond these analytical results, we also numerically obtain the entire phase of non- and near-extremal three- and two-charge black holes localized on a circle. More generally, we find in this paper a rich phase structure, including a new phase of three-charge black holes that are non-uniformly distributed on the circle. All these three-charge black hole phases are found via a map that relates them to the phases of five-dimensional neutral Kaluza-Klein black holes.
Harmark Troels
Kristjansson Kristjan R.
Obers Niels A.
Ronne Peter B.
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