The mixed Einstein equations in stationary-axisymmetric geometries with absent mixed fluxes enforce a constant-Schwarzian constraint whose global-regularity branch is precisely the Kerr sector.
(B8) can be put into the form d2u ds2 +A(s) du ds +B(s)u= 0,(E1) whereA(s) andB(s) are explicit functions of coss
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Local Origin of Hidden Symmetry in Rotating Spacetimes
The mixed Einstein equations in stationary-axisymmetric geometries with absent mixed fluxes enforce a constant-Schwarzian constraint whose global-regularity branch is precisely the Kerr sector.