Hawking Evaporation Time

ATRONOMY – BLACK HOLE & RELATIVITY (38) CALCULATOR Hawking Evaporation Time A precise tool.
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What is the Hawking Evaporation Time & How does it work?

Black holes are regions of spacetime where gravity is so strong that nothing, not even light, can escape. In 1974 Stephen Hawking showed that quantum effects allow black holes to emit radiation, causing them to lose mass over time.

The power of this Hawking radiation is inversely proportional to the square of the black hole’s mass, so massive black holes evaporate extremely slowly, while tiny ones disappear quickly.

The evaporation time can be estimated with the formula below, which depends on fundamental constants and the black‑hole mass. Understanding this timescale helps astronomers gauge the fate of primordial black holes and the ultimate destiny of massive stellar remnants.

t = frac{5120 pi G^{2} M^{3}}{hbar c^{4}}
t = evaporation time (seconds)
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Frequently Asked Questions
What is Hawking Evaporation Time?
Hawking Evaporation Time is the estimated time it takes for a black hole to completely evaporate due to quantum effects, as proposed by physicist Stephen Hawking.
How does the mass of a black hole affect its evaporation time?
The larger the mass of a black hole, the longer its evaporation time. This is because the power of Hawking radiation is inversely proportional to the square of the black hole’s mass.
Can tiny black holes evaporate quickly?
Yes, tiny black holes can evaporate relatively quickly due to the high power of their Hawking radiation compared to their small mass.
What is the formula for calculating Hawking Evaporation Time?
The formula involves the black hole’s mass and fundamental constants. It shows that evaporation time increases dramatically as the black hole’s mass decreases.
How does temperature relate to a black hole’s evaporation?
Black holes with lower masses have higher temperatures, leading to more rapid evaporation of Hawking radiation.
Is there any real-world evidence for Hawking radiation?
While direct observation is challenging, theoretical models and indirect evidence from astrophysical observations support the concept of Hawking radiation.
What happens to a black hole’s event horizon as it evaporates?
As a black hole evaporates, its event horizon gradually shrinks until the black hole completely disappears, leaving behind only the energy from Hawking radiation.

Results are for informational purposes only and do not constitute professional advice.