Quantum collapse of dust shells in 2+1 gravity

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dc.creatorOrtíz, L.
dc.creatorRyan Jr, M. P.
dc.date2007-02-24
dc.date.accessioned2026-07-07T11:01:45Z
dc.date.available2026-07-07T11:01:45Z
dc.descriptionThis 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.
dc.description26 pages, 8 figures, in press, General Relativity and Gravitation
dc.identifierhttps://arxiv.org/abs/gr-qc/0702127
dc.identifierhttp://arxiv.org/abs/gr-qc/0702127
dc.identifierGen.Rel.Grav.39:1087-1107,2007
dc.identifierdoi:10.1007/s10714-007-0458-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188045
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleQuantum collapse of dust shells in 2+1 gravity
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