Calculate the Hawking radiation temperature and lifetime of a black hole.
Mass Parameters
Radiation Properties
Enter parameters to calculate
About this calculator
Quick Reference
ħReduced Planck constant
GGravitational constant
MBlack hole mass
k_BBoltzmann constant
Overview
According to Stephen Hawking, black holes are not perfectly black but emit radiation due to quantum effects near the event horizon. This Hawking radiation causes the black hole to lose mass and eventually evaporate.
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Pro Tips
The temperature is inversely proportional to the mass. Smaller black holes are hotter!
Stellar-mass black holes have temperatures far below the cosmic microwave background (CMB).
Lifetime is proportional to the mass cubed (M³).
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Fun Facts
"A black hole with the mass of Mount Everest would have a temperature of about 10^12 Kelvin."
"A solar-mass black hole has a Hawking temperature of only 60 nanokelvin."
"In their final moments of evaporation, black holes are thought to explode with immense energy."