Kerr & Nordström Black Hole Evaporation: Q&A

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SUMMARY

The discussion centers on the behavior of the Kerr parameter during the evaporation of Kerr black holes and the characteristics of Nordström black holes in different environments. The Kerr parameter, defined as Jc/GM², where J is angular momentum, c is the speed of light, G is the gravitational constant, and M is the mass of the black hole, remains between zero and unity. The conversation also explores the implications of Hawking radiation on the Kerr parameter and the behavior of Nordström black holes in vacuum versus charged plasma environments. Key references to published papers on Hawking evaporation of Kerr black holes are suggested for further reading.

PREREQUISITES
  • Understanding of Kerr black hole physics
  • Familiarity with Nordström black holes and their properties
  • Knowledge of Hawking radiation and its implications
  • Basic grasp of quantum mechanics, particularly tunneling effects
NEXT STEPS
  • Research the evolution of the Kerr parameter during Hawking radiation
  • Explore the mathematical framework of Nordström black holes
  • Investigate the effects of charge-to-mass ratio on black hole evaporation
  • Read recent papers on "Hawking evaporation Kerr BH" for advanced insights
USEFUL FOR

The discussion is beneficial for theoretical physicists, astrophysicists, and researchers interested in black hole thermodynamics and quantum gravity, particularly those studying the dynamics of Kerr and Nordström black holes.

snorkack
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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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snorkack said:
the Kerr parameter
What do you mean by the Kerr parameter?
 
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?
 
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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