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Quantum (Dis)Charge of Black Hole Interiors
Christiane Klein1, Jochen Zahn1, Stefan Hollands1
1Institut für Theoretische Physik, Universität Leipzig, Brüderstraße 16, 04103 Leipzig, Germany.
Abstract:
We analyze the "vacuum" polarization induced by a quantum charged scalar field near the inner horizon of a charged black hole in quantum states evolving from arbitrary regular in states. Contrary to naive expectations, 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. We also 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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