Black Hole Radiation

  • Thread starter kuahji
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Main Question or Discussion Point

Was just curious as to if this equation on wikipedia was accurate.

The link on wiki states
The power emitted by a black hole in the form of Hawking radiation can easily be estimated for the simplest case of a nonrotating, non-charged Schwarzschild black hole of mass M. Combining the formulae for the Schwarzschild radius of the black hole, the Stefan-Boltzmann law of black-body radiation, the above formula for the temperature of the radiation, and the formula for the surface area of a sphere (the black hole's event horizon) we get:
http://upload.wikimedia.org/math/9/1/e/91ead79dbf75e21b618af5d067458717.png

where P is the energy outflow, \hbar is the reduced Planck constant, c is the speed of light, and G is the gravitational constant. It is worth mentioning that the above formula has not yet been derived in the framework of semiclassical gravity.
So what I'm wondering is, exactly what units would P or rather the energy outflow be represented as. I was thinking joules, but for some reason couldn't get all the units to cancel out, which is probably just a mistake on my part. Anyway, anyone have any thoughts or input on this subject?
 

Answers and Replies

hellfire
Science Advisor
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The units in the formula match for watt (joules per second).
 

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