The Hawking black-hole radiation spectrum has a short tail
Abstract
It is proved that the Hawking emission spectrum of a semiclassical Schwarzschild black hole of mass M has a sharp cut at the frequency scale ωmax=(ℏM)−13. In particular, taking into account the nonlinear gravitational coupling between the tunneled Hawking quanta and the emitting black hole, it is explicitly shown that the upper bound ω<ωmax on the energies of the emitted Hawking quanta is a direct consequence of the famous Thorne hoop relation.
This essay received an Honorable Mention in the 2021 Essay Competition of the Gravity Research Foundation.
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