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Canonical Entropy and Phase Transition of Rotating Black Hole

Open access
Ren, Zhao, Yue-Qin, Wu, Li-Chun, Zhang·2008·Chinese Physics Letters

Abstract

Recently, the Hawking radiation of a black hole has been studied using the tunnel effect method. The radiation spectrum of a black hole is derived. By discussing the correction to spectrum of the rotating black hole, we obtain the canonical entropy. The derived canonical entropy is equal to the sum of Bekenstein–Hawking entropy and correction term. The correction term near the critical point is different from the one near others. This difference plays an important role in studying the phase transition of the black hole. The black hole thermal capacity diverges at the critical point. However, the canonical entropy is not a complex number at this point. Thus we think that the phase transition created by this critical point is the second order phase transition. The discussed black hole is a five-dimensional Kerr-AdS black hole. We provide a basis for discussing thermodynamic properties of a higher-dimensional rotating black hole.

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Metadata

Authors
Ren, Z., Yue-Qin, W., & Li-Chun, Z.
Venue
Chinese Physics Letters
Published
2008-07
Volume
25
Issue
7
Pages
2385-2388
ISSN
  • 0256-307X (ISSN-L)
  • 1741-3540
OpenAlex
W2088817960
Cited by
342
References
5
FWCI
25.84
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Canonical Entropy and Phase Transition of Rotating Black Hole. https://app.cochat.ai/papers/10.1088/0256-307x/25/7/015
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Ren, Z., Yue-Qin, W., & Li-Chun, Z. (2008). Canonical Entropy and Phase Transition of Rotating Black Hole. Chinese Physics Letters. https://doi.org/10.1088/0256-307x/25/7/015

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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