For regular black holes, the Cauchy horizon mass typically grows exponentially or as a power law; for the asymptotically safe collapse model it grows logarithmically, reaching the horizon without a transient mass-inflation episode.
Quantum (dis)charge of black hole interiors
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abstract
We analyze the "vacuum" polarization induced by a quantum charged scalar field near the inner horizon of a charged (Reissner-Nordstr\"om-de Sitter) black hole in quantum states that start out as regular states near an initial Cauchy surface. Contrary to the outer (i.e. event-) horizon, where polarization effects lead to a discharge, we find that near an inner horizon, the transversal component of the expected current density can have either sign depending on the black hole and field parameters. Thus, the inner horizon can be charged or discharged. But we find that it is always discharged close to extremality thus driving the black hole interior away from this critical point. Furthermore, we find that quantum effects dominate in that the strength of the blow up of the quantum current at the inner horizon is state-independent and stronger than that of the current of a classical solution.
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Cauchy Horizon (In)Stability of Regular Black Holes
For regular black holes, the Cauchy horizon mass typically grows exponentially or as a power law; for the asymptotically safe collapse model it grows logarithmically, reaching the horizon without a transient mass-inflation episode.