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Quantum collapse of dust shells in 2+1 gravity

L. Ortíz·M. P. Ryan Jr
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Abstract

This paper considers the quantum collapse of infinitesimally thin dust shells in 2+1 gravity. In 2+1 gravity a shell is no longer a sphere but a ring of matter. The classical equation of motion has been considered by Peleg and Steif and Cristosomo and Olea. The minisuperspace quantum problem can be reduced to that of a harmonic oscillator in terms of the curvature radius of the shell, allowing the use of well-known methods to find the motion of coherent wave packets that give the quantum collapse of the shell. Classically, as the radius of the shell falls below a certain point, a horizon forms. In the quantum problem one can define various quantities that give "indications" of horizon formation. Without proper definitions of a "horizon" in quantum gravity, these can be nothing but indications.

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L. Ortíz, M. P. Ryan Jr. 2007-02-24. Quantum collapse of dust shells in 2+1 gravity. https://doi.org/10.1007/s10714-007-0458-7

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