Evaporation of a Collapsing Shell with Scalar Field Production

Physics

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Scientific paper

We consider gravitational collapse of a spherically symmetric dust shell coupled with a massless scalar field. The rest mass can decrease as a result of the scalar wave production. Our purpose is to discuss the backreaction problem in the context of classical general relativity. We construct junction conditions at the shell including the scalar field. Possible final fates of the gravitational collapse are found by solving them when the shell is close to the apparent horizon. Interestingly, as the collapsing shell shrinks to a point, it can completely evaporate without forming a black hole and naked singularity. The mass-loss rate measured by a static observer turns out to remain finite even at the final stage of the shell evaporation.

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