Physics

Instant, private, and free

Black Hole Temperature Calculator.

Estimate Hawking temperature for a non-rotating, uncharged black hole.

On-device calculationNo signup

Set your values

Results update as you type.

02 / ANSWER

Black-hole mass

hawkingTemperature

0.000000

Use Cases

Astrophysics Education

Helps students and enthusiasts understand the relationship between black hole mass and Hawking temperature.

Example: Calculate the temperature of a black hole with a mass of 1 solar mass (about 2 × 10^30 kg).

Research Reference

Provides quick estimates for theoretical physics models or science communication.

Example: Estimate the temperature of a primordial black hole with mass 10^12 kg.

Frequently Asked Questions

What is Hawking temperature?: Hawking temperature is the effective temperature that a black hole emits due to quantum effects near its event horizon. It is inversely proportional to the black hole's mass, meaning smaller black holes are hotter.
How is the Hawking temperature calculated?: The calculator uses the formula T = (ħ c³) / (8π G M k_B), where M is the black hole mass in kilograms. It assumes a non-rotating, uncharged (Schwarzschild) black hole.
What units does the calculator use?: You input the black hole mass in kilograms (kg). The output is the Hawking temperature in kelvin (K).

Tips & Common Mistakes

Tips

Enter the mass in kilograms. For reference, the Sun's mass is about 2 × 10^30 kg.
Remember that Hawking temperature is extremely small for stellar-mass black holes, often less than a microkelvin.
This calculator assumes a non-rotating, uncharged black hole; real black holes may have different temperatures.
Use scientific notation for very large or very small masses to avoid errors.

Common Mistakes to Avoid

Forgetting to convert mass to kilograms if you have it in solar masses or other units.
Assuming the temperature is high for massive black holes; actually, temperature decreases with increasing mass.
Using the calculator for rotating or charged black holes, which require different formulas.

Last updated: August 13, 2026

Use Cases

Astrophysics Education

Helps students and enthusiasts understand the relationship between black hole mass and Hawking temperature.

Example: Calculate the temperature of a black hole with a mass of 1 solar mass (about 2 × 10^30 kg).

Research Reference

Provides quick estimates for theoretical physics models or science communication.

Example: Estimate the temperature of a primordial black hole with mass 10^12 kg.

Frequently Asked Questions

What is Hawking temperature?

Hawking temperature is the effective temperature that a black hole emits due to quantum effects near its event horizon. It is inversely proportional to the black hole's mass, meaning smaller black holes are hotter.

How is the Hawking temperature calculated?

The calculator uses the formula T = (ħ c³) / (8π G M k_B), where M is the black hole mass in kilograms. It assumes a non-rotating, uncharged (Schwarzschild) black hole.

What units does the calculator use?

You input the black hole mass in kilograms (kg). The output is the Hawking temperature in kelvin (K).

Tips & Common Mistakes

Tips

Enter the mass in kilograms. For reference, the Sun's mass is about 2 × 10^30 kg.
Remember that Hawking temperature is extremely small for stellar-mass black holes, often less than a microkelvin.
This calculator assumes a non-rotating, uncharged black hole; real black holes may have different temperatures.
Use scientific notation for very large or very small masses to avoid errors.

Common Mistakes to Avoid

Forgetting to convert mass to kilograms if you have it in solar masses or other units.
Assuming the temperature is high for massive black holes; actually, temperature decreases with increasing mass.
Using the calculator for rotating or charged black holes, which require different formulas.

Use Cases

Astrophysics Education

Helps students and enthusiasts understand the relationship between black hole mass and Hawking temperature.

Example: Calculate the temperature of a black hole with a mass of 1 solar mass (about 2 × 10^30 kg).

Research Reference

Provides quick estimates for theoretical physics models or science communication.

Example: Estimate the temperature of a primordial black hole with mass 10^12 kg.

Frequently Asked Questions

What is Hawking temperature?

How is the Hawking temperature calculated?

The calculator uses the formula T = (ħ c³) / (8π G M k_B), where M is the black hole mass in kilograms. It assumes a non-rotating, uncharged (Schwarzschild) black hole.

What units does the calculator use?

You input the black hole mass in kilograms (kg). The output is the Hawking temperature in kelvin (K).

Tips & Common Mistakes

Tips

Enter the mass in kilograms. For reference, the Sun's mass is about 2 × 10^30 kg.
Remember that Hawking temperature is extremely small for stellar-mass black holes, often less than a microkelvin.
This calculator assumes a non-rotating, uncharged black hole; real black holes may have different temperatures.
Use scientific notation for very large or very small masses to avoid errors.

Common Mistakes to Avoid

Forgetting to convert mass to kilograms if you have it in solar masses or other units.
Assuming the temperature is high for massive black holes; actually, temperature decreases with increasing mass.
Using the calculator for rotating or charged black holes, which require different formulas.