Weyl metrics
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In general relativity, the Weyl metrics are a class of static and axisymmetric solutions to Einstein's field equation. Three members in the renowned Kerr–Newman family solutions, namely the Schwarzschild, nonextremal Reissner–Nordström and extremal Reissner–Nordström metrics, can be identified as Weyl-type metrics.
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Standard Weyl metrics
Reduced field equations for electrovac Weyl solutions
Newtonian analogue of metric potential Ψ(ρ,z)
Schwarzschild solution
Nonextremal Reissner–Nordström solution
Weyl vacuum solutions in spherical coordinates