Kerr & Nordström Black Hole Evaporation: Q&A

In summary, the Kerr parameter is an expression of angular momentum, speed of light, gravitational constant, and mass of a black hole. It ranges between zero and unity for any black hole, with a Schwarzschild hole having a value of zero. When a Kerr black hole evaporates due to Hawking radiation, the value of the Kerr parameter remains constant at its initial value, approaches zero, approaches unity, or approaches a value between zero and unity. In the case of Nordström black holes, the presence of matter causes a strong attraction for charged plasma, but in a perfect vacuum, there would be a leak current out of the black hole. Quantum mechanics suggests that in strong electric fields, there is a tail of tunnelling.
  • #1
snorkack
2,190
477
When a Kerr black hole evaporates, what will the Kerr parameter do?
Stay constant at initial value?
Approach zero?
Approach unity?
Approach a target value somewhere between zero and unity?

Also, Nordström black holes in practice (with matter around) would have a strong tendency to attract charged plasma. But in perfect vacuum? How strong would the leak current out of a Nordström black hole be? Quantum mechanics suggests a tail of tunnelling in strong electric fields. At which charge would a Nordström black hole be evaporating at constant q/m, if the dependence of q on m is that simple? And does the mathematics of Nordström black hole expressly depend on electron rest mass?
 
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  • #2
snorkack said:
the Kerr parameter
What do you mean by the Kerr parameter?
 
  • #3
PeterDonis said:
What do you mean by the Kerr parameter?
The expression
Jc/GM2
where J is angular momentum, c speed of light, G gravitational constant and M the mass of the hole.
It is bound to be between zero (it is Schwarzschild hole) and unity for any black hole.
How does it evolve on Hawking radiation?
 
  • #4
If you search "Hawking evaporation Kerr BH" you find a good number of reputably published papers discussing this. At the moment, I don't have time to quick read them to try to choose the most informative.
 

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