Numerical Analysis of Black Hole Evaporation

Details Numerical Analysis of Black Hole Evaporation Numerical Analysis of Black Hole Evaporation

1993-04-28

arxiv.org/abs/hep-th/9304148v1

Phys.Rev.D48:4729-4734,1993

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 9 figures in separate uuencoded file

Scientific paper

10.1103/PhysRevD.48.4729

Black hole formation/evaporation in two-dimensional dilaton gravity can be described, in the limit where the number $N$ of matter fields becomes large, by a set of second-order partial differential equations. In this paper we solve these equations numerically. It is shown that, contrary to some previous suggestions, black holes evaporate completely a finite time after formation. A boundary condition is required to evolve the system beyond the naked singularity at the evaporation endpoint. It is argued that this may be naturally chosen so as to restore the system to the vacuum. The analysis also applies to the low-energy scattering of $S$-wave fermions by four-dimensional extremal, magnetic, dilatonic black holes.

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