The Unruh effect basically states that an accelerated observer will see warm gas of particles following a blackbody distribution with some temperature T, where as an inertial observer would see none.
If I understand correctly, black-body radiation contains all particles, although almost every source I've been able to find only mentions the EM black-body curve.
My question is: how does one determine the energy density of per unit volume of space that an accelerated observer would expect to see (given a temperature T)? I know the relevant distributions are Fermi-Dirac (for fermions) and Bose-Einstein (for bosons). It's not at all clear to me how to use both, or if the Fermi-Dirac distribution should be used at all, given that the Unruh 'warm gas' is a gas of photons (primarily)?
Is a good approximation simply to use Planck's radiation law and the Stefan-Boltzmann law?