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arXiv · 0709.1624

Black Hole Thermodynamics and the Factor of 2 Problem

Terry Pilling
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Abstract

We show that the recent tunneling formulas for black hole radiation in static, spherically symmetric spacetimes follow as a consequence of the first law of black hole thermodynamics and the area-entropy relation based on the radiation temperature. A tunneling formula results even if the radiation temperature is different from the one originally derived by Hawking and this is discussed in the context of the recent factor of 2 problem. In particular, it is shown that if the radiation temperature is higher than the Hawking temperature by a factor of two, thermodynamics then leads to a tunneling formula which is exactly the one recently found to be canonically invariant.

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Terry Pilling. 2008-01-22. Black Hole Thermodynamics and the Factor of 2 Problem. https://doi.org/10.1016/j.physletb.2008.01.015

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