Boltzmann factor and Hawking radiation

Gregory Ryskin

doi:10.1016/j.physletb.2014.05.085

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arXiv · 1810.07520

Boltzmann factor and Hawking radiation

Gregory Ryskin

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Abstract

Hawking radiation has thermal spectrum corresponding to the temperature ${T}_{H}={(8{\pi}M)}^{-1}$, where $M$ is the mass (energy) of the black hole. Corrections to the Hawking radiation spectrum were discovered by Kraus and Wilczek (1995) and Parikh and Wilczek (2000). Here I show that these corrections follow directly from the basic principles of thermodynamics and statistical mechanics. In essence, it is the Boltzmann factor that ought to be corrected; corrections to the Hawking (or any other) radiation spectrum then follow necessarily.

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Gregory Ryskin. 2018-10-14. Boltzmann factor and Hawking radiation. https://doi.org/10.1016/j.physletb.2014.05.085

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