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

References in corpus (2)

• Three-Dimensional Gravity Revisited
• Hawking radiation from the quantum Lemaitre-Tolman-Bondi model

Cited by in corpus (3)

• Mass Spectrum and Statistical Entropy of the BTZ black hole from Canonical Quantum Gravity
• Quantum Gravitational Collapse and Hawking Radiation in 2+1 Dimensions
• Classical and Quantum Gravitational Collapse in d-dim AdS Spacetime I. Classical Solutions