Cosmic Censorship in Two-Dimensional Gravity

TL;DR

This paper explores cosmic censorship in two-dimensional dilaton gravity, showing how boundary conditions influence black hole formation, information recovery, and vacuum stability at semi-classical levels.

Contribution

It introduces boundary conditions that implement a weak cosmic censorship hypothesis and analyze their effects on black hole formation and information loss.

Findings

Boundary conditions stabilize the vacuum against negative energy decay.

Low-energy matter information can be recovered in the final state.

High-energy black holes lead to inevitable information loss.

Abstract

A weak version of the cosmic censorship hypothesis is implemented as a set of boundary conditions on exact semi-classical solutions of two-dimensional dilaton gravity. These boundary conditions reflect low-energy matter from the strong coupling region and they also serve to stabilize the vacuum of the theory against decay into negative energy states. Information about low-energy incoming matter can be recovered in the final state but at high energy black holes are formed and inevitably lead to information loss at the semi-classical level.