Pair Production in Near Extremal Kerr-Newman Black Holes

TL;DR

This paper analytically investigates charged scalar pair production in near extremal Kerr-Newman black holes, revealing conditions for production, thermal interpretations, and dual CFT descriptions.

Contribution

It provides a detailed analysis of pair production conditions, thermal interpretation, and holographic dual descriptions in Kerr-Newman black holes, extending understanding of quantum effects in these spacetimes.

Findings

Pair production condition linked to Breitenlohner-Freedman bound violation.

Mean number of pairs has a thermal interpretation with effective temperature.

Dual CFT descriptions realized in $J$ and $Q$ pictures.

Abstract

The spontaneous pair production of charged scalars in a near extremal Kerr-Newman (KN) black hole is analytically studied. It is shown that the existence condition for the pair production is equivalent to the violation of the Breitenlohner-Freedman bound in an AdS$_2$ space. The mean number of produced pairs in the extremal black hole has a thermal interpretation, in which the effective temperature for the Schwinger effect in the AdS$_2$ space persistently holds, while the mean number in the near extremal black hole has an additional factor of the Schwinger effect in the Rindler space. In addition, the holographic dual conformal field theory (CFT) descriptions of the charged scalar pair production are respectively realized both in the $J$ and $Q$ pictures in terms of the KN/CFTs correspondence.