Flux-conserving hyperbolic systems and two-dimensional evaporating black holes

TL;DR

This paper applies flux-conserving hyperbolic systems to model black-hole evaporation in 1+1 dimensions, providing a new mathematical framework to approximate semiclassical CGHS equations.

Contribution

It demonstrates how flux-conserving systems can be used to approximate the semiclassical CGHS black-hole evaporation equations in 1+1 dimensions.

Findings

Flux-conserving systems exhibit useful mathematical properties.

The semiclassical CGHS equations can be approximated by flux-conserving systems.

Provides a new approach to modeling black-hole evaporation.

Abstract

A class of semi-linear hyperbolic systems in 1+1 dimensions was investigated several years ago by Ori and Gorbonos. This class, to which we shall refer as "flux-conserving systems", exhibits a variety of interesting mathematical properties. Here we demonstrate how the formalism of flux-conserving systems can be applied to the problem of black-hole evaporation in 1+1-dimensions. More specifically, we show how the semiclassical CGHS field equations may be approximated by a certain flux-conserving system.