The Internal Geometry of an Evaporating Black Hole

Details The Internal Geometry of an Evaporating Black Hole The Internal Geometry of an Evaporating Black Hole

1994-05-02

arxiv.org/abs/hep-th/9405007v2

Phys.Rev.Lett.73:2805-2808,1994

Physics

High Energy Physics

High Energy Physics - Theory

10 pages using Latex and REVTEX macros. 1 page of 4 figures can be obtained from an anonymous ftp at shemesh.fiz.huji.ac.il (r

Scientific paper

10.1103/PhysRevLett.73.2805

We present a semi-classical model for the formation and evaporation of a four dimensional black hole. We solve the equations numerically and obtain solutions describing the entire the space-time geometry from the collapse to the end of the evaporation. The solutions satisfy the evaporation law: $\dot M \propto -M^{-2}$ which confirms dynamically that black holes do evaporate thermally. We find that the evaporation process is in fact the shrinking of a throat that connects a macroscopic interior ``universe" to the asymptotically flat exterior. It ends either by pinching off the throat leaving a closed universe and a Minkowskian exterior or by freezing up when the throat's radius approaches a Planck size. In either case the macroscopic inner universe is the region where the information lost during the evaporation process is hidden.

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