Astronomy & Space
Advanced

Hawking Temperature

Temperature of the radiation a black hole emits.

Formula

T=c38πGMkBT = \frac{\hbar c^3}{8\pi G M k_B}

Variables

\hbarReduced Planck
MBlack-hole mass
k_BBoltzmann

Example

A solar-mass black hole is a mere 60 billionths of a kelvin

Did You Know?

Smaller black holes are hotter, so they evaporate ever faster — the final instant is a burst of radiation.