't Hooft's Polygon Approach Hyperbolically Revisited

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dc.creatorHollmann, Helia R.
dc.creatorWilliams, Ruth M.
dc.date1998-10-06
dc.date.accessioned2026-07-07T03:32:42Z
dc.date.available2026-07-07T03:32:42Z
dc.descriptionThe initial data in the polygon approach to (2+1)D gravity coupled to point particles are constrained by the vertex equations and the particle equations. We establish the hyperbolic nature of the vertex equations and derive some consequences. In particular we are able to identify the hyperbolic group of motions as discrete analogues of the diffeomorphisms in the continuum theory. We show that particles can be included ``hyperbolically'' as well, but they spoil the gauge invariance. Finally we derive consistent sets of initial data.
dc.description20 pages, 16 figure
dc.identifierhttps://arxiv.org/abs/gr-qc/9810021
dc.identifierhttp://arxiv.org/abs/gr-qc/9810021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/36331
dc.subjectGeneral Relativity and Quantum Cosmology
dc.title't Hooft's Polygon Approach Hyperbolically Revisited
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