Black Hole Thermodynamics and the Factor of 2 Problem

Details Black Hole Thermodynamics and the Factor of 2 Problem Black Hole Thermodynamics and the Factor of 2 Problem

2007-09-11

arxiv.org/abs/0709.1624v4

Phys.Lett.B660:402-406,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages

Scientific paper

10.1016/j.physletb.2008.01.015

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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