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advanced_notions:hawking_radiation
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Hawking Radiation
see also Black Hole
Intuitive
Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party.
Concrete
$$ T= \frac{\hbar c^3}{8 \pi G M k_B} ,$$
where $k_B$ is the Boltzmann constant, $c$ the speed of light, $G$ the gravitational constant, $\hbar$ the reduced Planck constant and $M$ the mass of the black hole.
The temperature of a black hole is tiny. Putting in the numbers yields
$$ T= 6.169 \cdot 10^{-8} \text{ K } \ \frac{M_\odot }{M}, $$ where $M_\odot$ is the mass of the sun. In words this means that black hole with a mass equal to the mass of our sun would have a temperature of only $10^{-8}$ K. If the black hole is heavier, the temperature gets even tinier.
- For a nice explicit discussion of the question "Where does Hawking radiation originate?", see Hawking radiation, the Stefan-Boltzmann law, and unitarization by Steven B. Giddings
Abstract
The motto in this section is: the higher the level of abstraction, the better.
Why is it interesting?
advanced_notions/hawking_radiation.1522657876.txt.gz · Last modified: 2018/04/02 08:31 (external edit)
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