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arXiv · 2309.00218

Catastrophic Emission of Charges from Near-Extremal Nariai Black Holes

Chiang-Mei Chen·Chun-Chih Huang·Sang Pyo Kim·Chun-Yu Wei
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Abstract

Using both the in-out formalism and the monodromy method, we study the emission of charges from near-extremal charged Nariai black holes with the black hole event and cosmological horizons close to each other, whose near-horizon geometry is $\mathrm{dS}_2 \times \mathrm{S}^2$. The emission becomes catastrophic for a charge with energy greater than its chemical potential, whose leading exponential factor increases inversely proportional to the separation of two horizons. This effect may prevent near-extremal Nariai black holes with large charges that evaporate dominantly through the charge emission from evolving to black holes with a naked singularity, in analog to near-extremal RN-dS black holes that have the Breitenlohner-Friedman bound, below which they become stable against Hawking radiation and Schwinger effect of charge emission. The near-extremal Nariai black holes with small charges, which are close to near-extremal Schwarzschild-dS black holes, emit dominantly charge-neutral particles and evolve to black holes with increasing charge to mass ratio. We illuminate the origin of the catastrophic emission in the phase-integral formulation and monodromy method by comparing near-extremal charged Nariai black holes with near-extremal RN-dS black holes.

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Chiang-Mei Chen, Chun-Chih Huang, Sang Pyo Kim, Chun-Yu Wei. 2023-09-01. Catastrophic Emission of Charges from Near-Extremal Nariai Black Holes. https://arxiv.org/abs/2309.00218

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