Island in Warped AdS Black Holes

TL;DR

This paper explores the entanglement entropy behavior of Hawking radiation in Warped AdS black holes, demonstrating how the island prescription leads to a finite, constant entropy consistent with the Page curve, and discusses related timescales.

Contribution

It applies the quantum extremal surface method to Warped AdS black holes, revealing the role of islands in reproducing the Page curve in this context.

Findings

Without islands, entropy grows indefinitely.

With islands, entropy saturates at twice the Bekenstein-Hawking entropy.

The study discusses Page time and Scrambling time in this setting.

Abstract

This paper investigates the Page curve in Warped Anti-de Sitter black holes using the quantum extremal surface prescription. The findings reveal that in the absence of an island, the entanglement entropy of Hawking radiation grows proportionally with time and becomes divergent at later times. However, when considering the island's emergence, which extends slightly beyond the event horizon, the growth of the entanglement entropy of Hawking radiation comes to a constant value. Eventually, the constant value is precisely twice the Bekenstein-Hawking entropy. We have also discussed the Page time as well as the Scrambling time.