Particle creation in (2+1) circular dust collapse

Abstract

We investigate the quantum particle creation during the circularly symmetric collapse of a 2+1 dust cloud, for the cases when the cosmological constant is either zero or negative. We derive the Ford-Parker formula for the 2+1 case, which can be used to compute the radiated quantum flux in the geometric optics approximation. It is shown that no particles are created when the collapse ends in a naked singularity, unlike the 3+1 case. When the collapse ends in a BTZ black hole, we recover the expected Hawking radiation.

15 pages, additional material added in Introduction and Discussion, conclusions unchanged, to appear in Physical Review D

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• The Role of Angular Momentum and Cosmic Censorship in the (2+1)-Dimensional Rotating Shell Collapse
• Naked Singularity Formation In f(R) Gravity
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• Quantum Gravitational Collapse and Hawking Radiation in 2+1 Dimensions
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• Gravitational collapse of a circularly symmetric star
• Canonical Chern-Simons Gravity