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Schwinger Effect of Extremal Reissner-Nordstr\"om Black Holes
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Schwinger Effect of Extremal Reissner-Nordstr\"om Black Holes
abstract
The Schwinger effect has a variety of physics applications. In the context of black hole physics, it provides a channel for the decay of charged black holes. While the Schwinger rate has been derived for extremal Reissner-Nordstr\"om (RN) black hole using the $AdS_2\times S^2$ geometry of the horizon, a full analysis in the whole geometry is lacking, begging the question of whether it is sufficient to ignore contributions away from the horizon. In this paper, we address this problem and obtain the spatial profile of the Schwinger production rate in an asymptotically flat RN black hole spacetime. We find that the Schwinger effect is strongest on the horizon and decays with distance from the horizon, exhibiting a characteristic scale of the Compton wavelength of the particle. The rate is switched off when the particle's charge-to-mass ratio approaches the corresponding extremality bound for black holes, in accordance with a strong form of the Weak Gravity Conjecture (WGC).
Forward citations
Cited by 3 Pith papers
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Limits on the Statistical Description of Charged de Sitter Black Holes
For charged de Sitter black holes, choosing the Bousso-Hawking observer normalization keeps the heat capacity finite in the Nariai limit, removing the expected log-T breakdown except in the cold and ultracold limits.
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The fate of Reissner--Nordstr\"om--de Sitter black holes: nonequilibrium discharge and evaporation
Semiclassical RN-dS evaporation via 2D dilaton gravity and anomaly flux yields monotonic neutral mass loss and rapid discharge, making classical equilibrium loci non-attractors and leading to empty de Sitter space.
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Limits on the Statistical Description of Charged de Sitter Black Holes
Adopting the Bousso-Hawking observer normalization for RNdS black holes produces finite heat capacity near the Nariai limit while confirming vanishing capacity in cold and ultracold limits, limiting statistical descriptions.
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