Black Hole Temperature Calculator - Hawking Radiation
Calculate Hawking temperature of a black hole based on its mass understand black hole thermodynamics and evaporation timescales in astrophysics.
About This Calculator
The Black Hole Temperature Calculator - Hawking Radiation helps you calculate results quickly and accurately. Enter your values and get instant results with charts and detailed breakdowns.
All calculations use verified standard formulas for reliable results every time.
Frequently Asked Questions
What is Hawking temperature?
Hawking temperature is the theoretical temperature of a black hole due to quantum effects near the event horizon formula T = hbar c cubed divided by 8 pi G M kB smaller holes are hotter.
Do black holes emit radiation?
According to Hawking radiation theory black holes emit thermal radiation due to quantum pair production at the event horizon causing them to slowly lose mass and evaporate.
What is the temperature of a black hole?
A 10-solar-mass black hole has Hawking temperature of about 6 billionths of a Kelvin extremely cold a micro black hole the mass of a mountain would be hot enough to radiate.
How long does a black hole take to evaporate?
Evaporation time scales with mass cubed a 10-solar-mass black hole takes about 10 to the 70 years far longer than the current age of the universe about 13.8 billion years.
Why are stellar black holes so cold?
Hawking temperature is inversely proportional to mass larger masses mean lower temperatures stellar black holes are too massive to have detectable Hawking radiation.
Can Hawking radiation be detected?
Not for stellar or supermassive black holes their temperatures are far below the cosmic microwave background at 2.7K primordial micro black holes could theoretically be detected.
What happens at the end of evaporation?
As a black hole shrinks its temperature increases and evaporation accelerates the final moments produce a burst of high-energy radiation though exact fate requires quantum gravity theory.