Black Hole Temperature Calculator
Calculate Hawking temperature of a black hole from its mass using quantum gravity formulas with step-by-step breakdown.
Hawking Radiation Temperature
Stephen Hawking showed that black holes emit thermal radiation. A black hole behaves like a body with temperature inversely proportional to its mass. Stellar-mass holes are extraordinarily cold; microscopic holes would be extremely hot.
Hawking Temperature Formula
$$ T = \frac{\hbar c^3}{8\pi G M k_B} $$Larger black holes are colder. A one solar-mass black hole has a Hawking temperature of about \(6.2 \times 10^{-8}\,\mathrm{K}\). Related: Black Hole Calculator and Blackbody Radiation Calculator.
Frequently Asked Questions
Why is a bigger black hole colder?
Temperature scales as 1/M. More mass means a larger horizon and lower Hawking temperature.
Can we detect Hawking radiation from stellar black holes?
Not with current instruments. The predicted temperature is far below the cosmic microwave background for astrophysical black holes.
What temperature does a 1 M☉ black hole have?
About 6.17 × 10⁻⁸ K, roughly sixty nanokelvin.
Does Hawking radiation reduce black hole mass?
Yes. Emission carries away energy, so the black hole slowly loses mass. For large holes this timescale exceeds the age of the universe.
What units should I use for mass?
Enter mass in solar masses. The calculator converts to kilograms internally using the standard solar mass constant.
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