Black hole radiation emission


by AbsoluteZer0
Tags: black, emission, hole, radiation
AbsoluteZer0
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#1
Feb4-13, 09:46 PM
P: 126
Hi,

I recently came across this formula:

[itex] T = \frac{\hbar c^3}{8 \pi GK_BM}[/itex]

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
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Simon Bridge
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#2
Feb4-13, 10:28 PM
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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.
AbsoluteZer0
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#3
Feb4-13, 10:41 PM
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?

Simon Bridge
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#4
Feb4-13, 10:44 PM
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Black hole radiation emission


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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