Conformal Invariance of Black Hole Temperature

Details Conformal Invariance of Black Hole Temperature Conformal Invariance of Black Hole Temperature

1993-07-06

arxiv.org/abs/gr-qc/9307002v1

Class.Quant.Grav.10:L201-L206,1993

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, plain LaTeX, NSF-ITP-93-91

Scientific paper

10.1088/0264-9381/10/11/002

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 {\it non}invariance of the trace anomaly under conformal transformations.

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