Is the Kerr-Newman Solution the Only Model for Charged Rotating Black Holes?

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SUMMARY

The Kerr-Newman solution is established as the most general stationary, vacuum, asymptotically flat solution for charged rotating black holes. This solution is significant because it incorporates electromagnetic fields while maintaining the properties of a black hole. The discussion highlights the importance of the term "stationary" in understanding the uniqueness of this solution, particularly in the context of energy-momentum tensors and metrics as discussed by Godel. Therefore, while alternative models may exist, the Kerr-Newman solution remains the definitive description of charged rotating singularities.

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ZelmersZoetrop
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I was reading Michio Kaku's book Hyperspace when I came across his statement that black holes have to have another side to be consistent. I'm curious, since Godel showed that a given energy-momentum tensor does not nessecarily produce a unique metric, why must the kerr-newman solution be the only description of a charged rotating singularity?
 
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ZelmersZoetrop said:
I was reading Michio Kaku's book Hyperspace when I came across his statement that black holes have to have another side to be consistent. I'm curious, since Godel showed that a given energy-momentum tensor does not nessecarily produce a unique metric, why must the kerr-newman solution be the only description of a charged rotating singularity?

The Kerr-Newman solution is the most general stationary, vacuum (except for EM field), asymptotically flat solution. You were missing the word "stationary," which I think is very important in making the result look reasonable.
 

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