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Entropy of three‐charge black holes on a circle
Author(s) -
Harmark T.,
Kristjánsson K.R.,
Obers N.A.,
Rønne P.B.
Publication year - 2007
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200610359
Subject(s) - physics , entropy (arrow of time) , extremal black hole , transverse plane , limit (mathematics) , black hole (networking) , black brane , mathematical physics , quantum mechanics , quantum electrodynamics , mathematical analysis , mathematics , computer network , routing protocol , routing (electronic design automation) , structural engineering , computer science , engineering , link state routing protocol
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.