Finite entangling regions and information paradox in charged black holes

TL;DR

This paper investigates how the electric charge of Reissner-Nordstrom black holes affects the entropy of Hawking radiation in finite regions, revealing conditions under which the information paradox can be avoided and how entanglement islands behave.

Contribution

It demonstrates that specific charges can prevent the information paradox in finite entangling regions and analyzes the role of entanglement islands in this context.

Findings

Certain charges eliminate the information paradox in finite regions.

Discontinuity in entropy occurs at small charges due to island disappearance.

Increasing charge causes entanglement islands to cease dominating.

Abstract

In this paper, we study the influence of the electric charge of Reissner-Nordstrom black hole on the dynamics of fine-grained entropy of Hawking radiation, collected in finite entangling regions. We demonstrate that for certain sizes of finite regions, it is always possible to choose a value of the charge such that no information paradox formulated for finite entangling regions arises. For the sake of completeness, we explore how entanglement islands influence the described picture. We find that at small values of the electric charge, there is a discontinuity in the entropy due to the disappearance of the island, and with increasing charge the island ceases to ever dominate throughout entire evolution.