Quantum (dis)charge of black hole interiors

Abstract

We analyze the "vacuum" polarization induced by a quantum charged scalar field near the inner horizon of a charged (Reissner-Nordström-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.

6 pages, 2 figures, version as published in PRL

References in corpus (6)

• Quasinormal modes and Strong Cosmic Censorship
• Stability of Reissner-Nordström black hole in de Sitter background under charged scalar perturbation
• Charged scalar field instability between the event and cosmological horizons
• Two-point function of a quantum scalar field in the interior region of a Reissner-Nordstrom black hole
• On the global uniqueness for the Einstein-Maxwell-scalar field system with a cosmological constant. Part 1: Well posedness and breakdown criterion
• The renormalized charged scalar current in the Reissner-Nordström-de Sitter spacetime

Cited by in corpus (5)

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• Quantization of a charged scalar field on a charged black hole background
• Construction of the Unruh State for a Real Scalar Field on the Kerr-de Sitter Spacetime
• Renormalization of $⟨{\varphi }^2⟩$ at the inner horizon of rotating, accreting black holes
• Wave equations in conformally separable, accreting, rotating black holes