Abstract
According to the no-hair theorem, the Kerr–Newman black hole solution represents the most general asymptotically flat, stationary (electro-) vacuum black hole solution in general relativity. The procedure described here shows how this solution can indeed be constructed as the unique solution to the corresponding boundary value problem of the axially symmetric Einstein–Maxwell equations in a straightforward manner.
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Notes
- 1.
A connected horizon means a single black hole. We are not interested here in the problem of multi-black-hole equilibrium states.
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Meinel, R. (2016). A Physical Derivation of the Kerr–Newman Black Hole Solution. In: Nicolini, P., Kaminski, M., Mureika, J., Bleicher, M. (eds) 1st Karl Schwarzschild Meeting on Gravitational Physics. Springer Proceedings in Physics, vol 170. Springer, Cham. https://doi.org/10.1007/978-3-319-20046-0_6
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