Schwinger Effect in (A)dS and Charged Black Hole

TL;DR

This paper investigates how the Schwinger effect, the pair production of charged particles, is influenced by (A)dS space and charged black holes, revealing enhancement by Hawking radiation and suppression by negative curvature.

Contribution

It introduces a contour integral method to calculate charged pair production in global (A)dS space and interprets black hole charge emission as a Schwinger effect in Rindler and AdS geometries.

Findings

Schwinger effect is enhanced by Hawking radiation in black holes.

Negative curvature suppresses the Schwinger effect in (A)dS space.

Charge emission from near-extremal black holes is described as a Schwinger effect in Rindler space.

Abstract

In an (Anti-) de Sitter space and a charged black hole the Schwinger effect is either enhanced by the Hawking radiation or suppressed by the negative curvature. We use the contour integral method to calculate the production of charged pairs in the global (A)dS space. The charge emission from near-extremal black hole is found from the AdS geometry near the horizon and interpreted as the Schwinger effect in a Rindler space with the surface gravity for the acceleration as well as the Schwinger effect in AdS space.