Extension of the moduli-space conjectures to slowly rotating extremal Kerr–Newman black holes

Consider very slowly rotating extremal Kerr–Newman black holes, with parameters satisfying $M^2=e^2+a^2$ and $|a|\ll M$, in the setting without spherical symmetry. Let the regularity conjecture and the extremality-as-critical-phenomenon conjecture be interpreted in this nonsymmetric setting. Kerr–Newman extension conjecture. The regularity and local-moduli-space conjectures hold, suitably interpreted, in a neighborhood of very slowly rotating extremal Kerr–Newman, without symmetry. This proposes that the local separating-hypersurface and critical-threshold picture persists beyond spherical symmetry for very slowly rotating extremal Kerr–Newman black holes.