Conformally rescaled spacetimes and Hawking radiation

Nielsen, Alex B.; Firouzjaee, J. T.

doi:10.1007/s10714-013-1560-7

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Conformally rescaled spacetimes and Hawking radiation

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Nielsen, Alex B.
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1207.0064.pdf
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Citation

Nielsen, A. B., & Firouzjaee, J. T. (2013). Conformally rescaled spacetimes and Hawking radiation. General Relativity and Gravitation, 45(9), 1815-1838. doi:10.1007/s10714-013-1560-7.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0015-13A2-A

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.