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In most of literature, Hawking radiation is referred to a black-body radiation, with a temperature $ T =1/8\pi kM $ for Sch black holes. However, I reckon it is perfectly possible for black holes to radiate away fermions, but I've never seen anyone talk about the black-body radiation of fermions. So how are we supposed to understand the "black-body-ness" of Hawking radiation?

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    $\begingroup$ An ideal black body will radiate fermions, you need to use the Fermi-Dirac distribution where you set the chemical potential equal to zero. $\endgroup$ – Count Iblis Mar 27 '17 at 0:57
  • $\begingroup$ Might it be best to regard the "black-body-ness" of the radiation as a mathematical coincidence, rather than trying to draw deeper conclusions ? $\endgroup$ – StephenG Mar 27 '17 at 1:01
  • $\begingroup$ @CountIblis Can you give a reference of computing the spectrum of fermionic black body radiation? I can't find this anywhere online. $\endgroup$ – JamieBondi Mar 27 '17 at 1:30
  • $\begingroup$ @JamieBondi I'll try to find something, but it's typically treated in sources that deal with the early universe, e.g. the calculation of the relic neutrino background temperature: en.wikipedia.org/wiki/Cosmic_neutrino_background $\endgroup$ – Count Iblis Mar 27 '17 at 2:11
  • $\begingroup$ duplicate of physics.stackexchange.com/questions/89983/… $\endgroup$ – Ben Crowell Aug 27 '17 at 0:05

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