Approximate solution to the CGHS field equations for two-dimensional evaporating black holes
arXiv:1007.3856 · doi:10.1103/PhysRevD.82.104009
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.
References in corpus (3)
- A Simplified Mathematical Model for the Formation of Null Singularities Inside Black Holes I - Basic Formulation and a Conjecture
- A Simplified Mathematical Model for the Formation of Null Singularities Inside Black Holes II
- Flux-conserving hyperbolic systems and two-dimensional evaporating black holes