User Tools

Site Tools


Sidebar


Add a new page:

advanced_notions:hawking_radiation

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.


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)