Particle Creation by Naked Singularity in Self-Similar Collapse

Physics

Scientific paper

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Scientific paper

We are concerned with the particle creation during the naked-singularity formation in spherically symmetric self-similar collapse without specifying the collapsing matter. In generic case, the power of quantum emission is found to be proportional to the inverse square of the remaining time to the Cauchy horizon. Moreover, the constant of proportion can be arbitrarily large in the limit to marginally naked singularity. Therefore, the unbounded power is especially striking in the case that a event horizon is very close to the Cauchy horizon because the emitted energy can be arbitrarily large in spite of a cut-off expected from quantum gravity. The divergence of the redshift of emitted particles is found to cause the divergence of power to positive or negative infinity, depending on the coupling manner of scalar fields to gravity. Above results suggest the instability of the Cauchy horizon in spherically symmetric self-similar collapse from quantum field theory and seem to support the existence of a semiclassical cosmic censor.

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