by AbsoluteZer0
 P: 126 Hi, I recently came across this formula: $T = \frac{\hbar c^3}{8 \pi GK_BM}$ As I understand it deals with the radiation that is believed to be emitted by a black hole. Does it describe the temperature of the radiation? Thanks
 Homework Sci Advisor HW Helper Thanks PF Gold P: 10,315 It describes the statistics of the radiation coming from close to the event horizon of a black-hole due to the large gravity gradient there. "Temperature" is a common way of describing such statistics - the model says that the radiation coming from the black hole follows a blackbody spectrum with a characteristic temperature given by that equation.
 P: 126 Thanks. One more question I have regarding this equation is: how can we quantify the mass of a black hole (M)? Is it the mass of the singularity?
Homework
HW Helper
Thanks
PF Gold
P: 10,315

No worries.

In relativity or QM it helps to be carefully pedantic about what things are saying - and that goes squared for when when both of them are used together :)

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