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

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

2010-07-22

arxiv.org/abs/1007.3856v1

Phys.Rev.D82:104009,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1103/PhysRevD.82.104009

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.

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