Asymptotics of d-dimensional Kaluza-Klein black holes: Beyond the newtonian approximation

Yi Zen Chu, Walter D. Goldberger, Ira Z. Rothstein

研究成果: 雜誌貢獻期刊論文同行評審

25 引文 斯高帕斯(Scopus)

摘要

We study the thermodynamics of small black holes in compactified spacetimes of the form Rd-1 × S1. This system is analyzed with the aid of an effective field theory (EFT) formalism in which the structure of the black hole is encoded in the coefficients of operators in an effective worldline Lagrangian. In this effective theory, there is a small parameter λ that characterizes the corrections to the thermodynamics due to both the non-linear nature of the gravitational action as well as effects arising from the finite size of the black hole. Using the power counting of the EFT we show that the series expansion for the thermodynamic variables contains terms that are analytic in λ, as well as certain fractional powers that can be attributed to finite size operators. In particular our operator analysis shows that existing analytical results do not probe effects coming from horizon deformation. As an example, we work out the order λ2 corrections to the thermodynamics of small black holes for arbitrary d, generalizing the results in the literature.

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頁(從 - 到)343-357
頁數15
期刊Journal of High Energy Physics
發行號3
DOIs
出版狀態已出版 - 1 3月 2006

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