Approximate solution to the CGHS field equations for two-dimensional evaporating black holes

TL;DR

This paper presents an approximate analytical solution to the CGHS two-dimensional black hole model, providing insights into black hole formation and evaporation using flux-conserving hyperbolic systems.

Contribution

It introduces a novel approximate solution to the CGHS field equations employing flux-conserving hyperbolic systems formalism, enhancing understanding of black hole evaporation.

Findings

Derived an approximate analytical solution to CGHS equations

Analyzed the asymptotic horizon behavior of evaporating black holes

Demonstrated the applicability of flux-conserving hyperbolic systems in this context

Abstract

Callan, Giddings, Harvey and Strominger (CGHS) previously introduced a two-dimensional semiclassical model of gravity coupled to a dilaton and to matter fields. Their model yields a system of field equations which may describe the formation of a black hole in gravitational collapse as well as its subsequent evaporation. Here we present an approximate analytical solution to the semiclassical CGHS field equations. This solution is constructed using the recently-introduced formalism of flux-conserving hyperbolic systems. We also explore the asymptotic behavior at the horizon of the evaporating black hole.