Holographic duals of evaporating black holes

TL;DR

This paper models black hole evaporation using holographic duality in an Anti-de Sitter braneworld, revealing how black holes lose mass and how entanglement islands evolve during evaporation.

Contribution

It introduces a large-D effective theory approach to simulate dynamical black hole evaporation and collapse in holographic settings, including entanglement entropy evolution.

Findings

Black hole evaporation corresponds to the bulk horizon sliding off the brane.

The model captures the formation and evaporation of black holes with entanglement islands.

The Page curve evolution shows islands shrinking during evaporation.

Abstract

We describe the dynamical evaporation of a black hole as the classical evolution in time of a black hole in an Anti-de Sitter braneworld. A bulk black hole whose horizon intersects the brane yields the classical bulk dual of a black hole coupled to quantum conformal fields. The evaporation of this black hole happens when the bulk horizon slides off the brane, making the horizon on the brane shrink. We use a large-D effective theory of the bulk Einstein equations to solve the time evolution of these systems. With this method, we study the dual evaporation of a variety of black holes interacting with colder radiation baths. We also obtain the dual of the collapse of holographic radiation to form a black hole on the brane. Finally, we discuss the evolution of the Page curve of the radiation in our evaporation setups, with entanglement islands appearing and then shrinking during the decreasing part of the curve.