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We establish a no inner-horizon theorem for black holes with charged scalarhairs. Considering a general gravitational theory with a charged scalar field,we prove that there exists no inner Cauchy horizon for both spherical andplanar black holes with non-trivial scalar hair. The hairy black holes approachto a spacelike singularity at late interior time. This result is independent ofthe form of scalar potentials as well as the asymptotic boundary of spacetimes.We prove that the geometry near the singularity takes a universal Kasner formwhen the kinetic term of the scalar hair dominates, while novel behaviorsdifferent from the Kasner form are uncovered when the scalar potential becomeimportant to the background. For the hyperbolic horizon case, we show thathairy black hole can only has at most one inner horizon, and a concrete examplewith an inner horizon is presented. All these features are also valid for theEinstein gravity coupled with neutral scalars.

No Inner-Horizon Theorem for Black Holes with Charged Scalar Hairs