Hawking radiation energy of black-body (Planck) spectrum

Description

black body is an idealized physical body that absorbs all incident electromagnetic radiation, regardless of frequency or angle of incidence. A black hole is a region of spacetime from which nothing escapes. Around a black hole there is a mathematically defined surface called an event horizon that marks the point of no return. It is called “black” because it absorbs all the light that hits the horizon, reflecting nothing, making it almost an ideal black body. black holes have a non-zero temperature and emit radiation with a nearly perfect black-body spectrum, ultimately evaporating.The mechanism for this emission is related to vacuum fluctuations in which a virtual pair of particles is separated by the gravity of the hole, one member being sucked into the hole, and the other being emitted. The energy distribution of emission is described by Planck’s law with a temperature T, related to the mass of the black hole.