Hawking Radiation Exercise

Hawking Radiation Exercise

Using the equations from the previous page, we can determine how long it would take for a 10 solar mass blackhole to evapotate.

It would be much easier if we begin by rewriting the above equation by substituting in the values for L and then for R_s.

First off, lets begin by defining our variables.

We can now combine all of our information into one single calculation (albeit a bit complex).

And thus t_evap turns out to be

Converting to years would be much more easier to understand.

Finally we have

It should be noted that the current estimated age of the universe is 12.6 +/- 2.2 billion years, or about 1.26 x 10¹⁰ years!