How is Hawking Radiation Related to a Black Hole's Mass and Time of Dissipation?

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SUMMARY

The discussion focuses on the relationship between Hawking radiation and a black hole's mass, specifically referencing the formula for calculating the time of dissipation. The formula provided is t = m^3 / (3K), where K is a constant valued at 3.98 x 10^15. This formula allows for the estimation of the time it takes for a black hole, such as those theorized to be created by the Large Hadron Collider (LHC), to dissipate through Hawking radiation. The Schwarzschild radius is also implied as a relevant factor in understanding this relationship.

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  • Understanding of Hawking radiation
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Astronomers, physicists, and students interested in black hole dynamics and theoretical physics, particularly those focused on the implications of Hawking radiation and black hole evaporation.

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How exactly is the amount of Hawking radiation emitted by a black hole related to it's mass/Schwarzschild radius/etc? Is there a formula relating the two for instance?

(I'm trying to calculate the time it would take for one of the LHC black holes that will supposedly destroy the Earth - ad nauseum - to dissipate...)

Thanks
Sync.
 
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Perfect! Thanks for replying so promptly!
 
there's a formula derived from hawking radiation

t=m^3/3K

k=3.98 x 10^15
 

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