Page Curves for Accelerating Black Holes

TL;DR

This paper applies the island paradigm to charged accelerating black holes, demonstrating how the Page curve is recovered and analyzing how charge and acceleration affect entanglement entropy and timescales.

Contribution

It extends the island paradigm to accelerating black holes, revealing the influence of charge and acceleration on the Page and scrambling times.

Findings

Page time and scrambling time increase with acceleration.

Page time and scrambling time decrease with charge.

Extremal black holes have divergent Page and scrambling times.

Abstract

The island paradigm for the fine-grained entropy of Hawking radiation is applied to eternal charged accelerating black holes. In the absence of the island, the entanglement entropy grows linearly and divergent at late times, while once the island outside the event horizon is taken into account, the unitary Page curve is reproduced naturally. The impact of the charge and the acceleration is investigated at late times. For the Page time and the scrambling time, they both increase as the acceleration increases, while decreasing as the charge increases. In particular, neutral black holes have the largest Page time and scrambling time. It is worth noting that the Page time and the scrambling time are divergent in the extremal limit, which implies that islands may be related to the causal structure of spacetime.