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Zbl 0794.53056
Jacobson, Ted; Kang, Gungwon
Conformal invariance of black hole temperature. (English)
[J] Classical Quantum Gravity 10, No.11, L201-L206 (1993). ISSN 0264-9381; ISSN 1361-6382/e

Summary: It is shown that the surface gravity and temperature of a stationary black hole are invariant under conformal transformations of the metric that are the identity at infinity. More precisely, we find a conformal invariant definition of the surface gravity of a conformal Killing horizon that agrees with the usual definition(s) for a true Killing horizon and is proportional to the temperature as defined by Hawking radiation. This result is reconciled with the intimate relation between the trace anomaly and the Hawking effect, despite the non-invariance of the trace anomaly under conformal transformations.

MSC 2000:: *53Z05 Appl. of differential geometry to physics
83C57 Black holes

Keywords: stationary black hole; conformal transformations; conformal Killing horizon

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