The Friedmann universe of dust by Regge Calculus: study of its ending point

dc.creatorDe Felice, A.
dc.creatorFabri, E.
dc.date2000-09-27
dc.date.accessioned2026-07-07T03:25:16Z
dc.date.available2026-07-07T03:25:16Z
dc.descriptionWe develop an evolution scheme, based on Sorkin algorithm, to evolve the most complex regular tridimensional polytope, the 600-cell. This application has been already studied before and all authors found a stop point for the evolution of the spatial section. In our opinion a clear and satisfactory meaning to this behaviour has not been given. In this paper we propose a reason why the evolution of the 600-cell stops when its volume is still far from 0. We find that the 600-cell meets a causality-breaking singularity of space-time. We study the nature of this singularity by embedding the 600-cell into a five-dimensional Lorentzian manifold. We fit 600-cell's evolution with a continuos metric and study it as a solution of Einstein equations.
dc.description5 figures (EPS)
dc.identifierhttps://arxiv.org/abs/gr-qc/0009093
dc.identifierhttp://arxiv.org/abs/gr-qc/0009093
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33646
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe Friedmann universe of dust by Regge Calculus: study of its ending point
dc.typetext

Files

Collections