Finite entangling regions and information paradox in charged black holes

Abstract

We study the influence of the electric charge of a Reissner–Nordström black hole on the dynamics of the 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 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 as the charge increases, the island ceases to ever dominate throughout entire evolution.