Conformally rescaled spacetimes and Hawking radiation

Abstract

We study various derivations of Hawking radiation in conformally rescaled metrics. We focus on two important properties, the location of the horizon under a conformal transformation and its associated temperature. We find that the production of Hawking radiation cannot be associated in all cases to the trapping horizon because its location is not invariant under a conformal transformation. We also find evidence that the temperature of the Hawking radiation should transform simply under a conformal transformation, being invariant for asymptotic observers in the limit that the conformal transformation factor is unity at their location.

22 pages, version submitted to journal

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• Quasilocal rotating conformal Killing horizons
• Black hole mechanics and thermodynamics in the light of Weyl transformations
• The Hawking temperature of dynamical black holes via conformal transformations
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• Surface gravity from tidal acceleration
• Comment on "Inflation with a graceful exit and entrance driven by Hawking radiation"
• Quantum-Corrected Thermodynamics of Conformal Weyl Gravity Black Holes: GUP Effects and Phase Transitions
• What can we learn from the conformal noninvariance of the Klein-Gordon equation?