Liouville Black Holes

TL;DR

This paper explores two-dimensional Liouville gravity coupled to matter, deriving black hole solutions, analyzing their quantum properties, and discussing the end-point of black hole evaporation.

Contribution

It provides a comprehensive analysis of Liouville black holes, including exact solutions, quantum back reaction effects, and the behavior of black hole radiation in a two-dimensional setting.

Findings

Many solutions can be interpreted as black holes.

Black hole temperature is proportional to mass.

Quantum effects map classical solutions into each other.

Abstract

The dynamics of Liouville fields coupled to gravity are investigated by applying the principle of general covariance to the Liouville action in the context of a particular form of two-dimensional dilaton gravity. The resultant field equations form a closed system for the Liouville/gravity interaction. A large class of asymptotically flat solutions to the field equations is obtained, many of which can be interpreted as black hole solutions. The temperature of such black holes is proportional to their mass-parameters. An exact solution to the back reaction problem is obtained to one-loop order, both for conformally coupled matter fields and for the quantized metric/Liouville system. Quantum effects are shown to map the space of classical solutions into one another. A scenario for the end-point of black-hole radiation is discussed.