I Kerr & Nordström Black Hole Evaporation: Q&A

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The discussion centers on the behavior of the Kerr parameter during the evaporation of Kerr black holes, questioning whether it remains constant, approaches zero, unity, or a value in between. It also explores the characteristics of Nordström black holes, particularly their interaction with charged plasma and the implications of quantum tunneling in vacuum conditions. The conversation highlights the relationship between the Kerr parameter, defined as Jc/GM², and its evolution during Hawking radiation. Participants reference existing literature on Hawking evaporation in Kerr black holes for further insights. The complexities of these black hole models and their mathematical dependencies are emphasized as critical areas for future research.
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.
 

Thread 'Physical Interpretation of Frame Field'

Moderator's note: Spin-off from another thread due to topic change. In the second link referenced, there is a claim about a physical interpretation of frame field. Consider a family of observers whose worldlines fill a region of spacetime. Each of them carries a clock and a set of mutually orthogonal rulers. Each observer points in the (timelike) direction defined by its worldline's tangent at any given event along it. What about the rulers each of them carries ? My interpretation: each...
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