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We use soliton methods in order to investigate the interior electrovacuumregion of axisymmetric and stationary, electrically charged black holes witharbitrary surrounding matter in Einstein-Maxwell theory. These methods can beapplied since the Einstein-Maxwell vacuum equations permit the formulation interms of the integrability condition of an associated linear matrix problem. Wefind that there always exists a regular inner Cauchy horizon inside the blackhole, provided the angular momentum $J$ and charge $Q$ of the black hole do notvanish simultaneously. Moreover, the soliton methods provide us with anexplicit relation for the metric on the inner Cauchy horizon in terms of thaton the event horizon. In addition, our analysis reveals the remarkableuniversal relation $(8\pi J)^2+(4\pi Q^2)^2=A^+ A^-$, where $A^+$ and $A^-$denote the reas of event and inner Cauchy horizon respectively.

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The inner Cauchy horizon of axisymmetric and stationary black holes with  surrounding matter in Einstein-Maxwell theory: study in terms of soliton  methods