Hawking Radiation Due to a Collapsing Star. II ---Collapsing Shells in Two-Dimensional Space-Times---

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Scientific paper

We investigate the energy flux of the Hawking radiation due to collapsing shells in two-dimensional space-times seen by a distant observer during the entire stage from its onset to the final steady state. The space-times considered are those obtained from four-dimensional ones containing a collapsing shell to form a black hole. In the first model the trajectory of the shell is taken to be the radial geodesic with respect to the exterior Schwarzschild geometry, while the second model treats a freely collapsing shell of dust. It is shown that the behavior of the flux in both models is quite similar to that of the Oppenheimer-Snyder model in the entire stage of evolution. The third model considers a shell of dust falling into an eternal black hole to form a new black hole. As the shell starts to fall the flux suddenly rises and then monotonically decreases to the thermal value corresponding to the new black hole. We also show that the energy flux radiated to the inside of the shell is negative in each of the three models.

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