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Particle creation in ( 2 + 1 ) circular dust collapse

2007; American Physical Society; Volume: 76; Issue: 6 Linguagem: Inglês

10.1103/physrevd.76.064026

1550-7998

Sashideep Gutti, Tejinder P. Singh,

Quantum Electrodynamics and Casimir Effect

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 in the $3+1$ case. When the collapse ends in a Banados-Teitelboim-Zanelli black hole, we recover the expected Hawking radiation.