Hawking temperature دمای ِ هاؤکینگ damâ-ye Hawking
*Fr.: température de Hawking*
The temperature inferred for a → *black hole* based on the
→ *Hawking radiation*.
For a → *Schwarzschild black hole*, one has
*T*_{H} = ħ*c*^{3}/(8π*GMk*) where
ħ is the → *reduced Planck's constant*, *c* is
the → *speed of light*, *G* is the
→ *gravitational constant*, *M* is the mass, and
*k* is → *Boltzmann's constant*. The formula can
approximately be written as:
*T*_{H}≅ 6.2 x 10^{-8} (*Msun*/*M*) K.
Thus radiation from a solar mass black hole would be exceedingly cold, about
5 x 10^{7} times colder than the
→ *cosmic microwave background*. Larger black holes would
be colder still. Moreover, smaller black holes would have higher
temperatures. A → *mini black hole* of mass
about 10^{15} g would have *T*_{H}≅ 10^{11} K. → *Hawking radiation*; → *temperature*. |