Independent 4-tetrahedra connection representation of Regge calculus

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dc.creatorKhatsymovsky, V. M.
dc.date2008-08-07
dc.date.accessioned2026-07-07T10:08:22Z
dc.date.available2026-07-07T10:08:22Z
dc.descriptionWe consider simplest piecewise flat manifold consisting of two identical 4-tetrahedra (call it bisimplex). General relativity action for arbitrary piecewise flat manifold can be expressed in terms of sum of the (half of) bisimplex actions. We use representation of each bisimplex action in terms of certain rotation matrices (connections). This gives representation of any minisuperspace piecewise flat gravity system in terms of connections which do not connect neighboring 4-tetrahedra (more appropriate would be call these self-connections). If Regge calculus with independent 4-tetrahedra is considered, i. e. when the length of an edge is not constrained to be the same for all the 4-tetrahedra containing this edge, self-connection representation leaves 4-tetrahedra independent also in connection matrices sector. Action remains sum of independent 4-tetrahedra terms.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0808.1041
dc.identifierhttp://arxiv.org/abs/0808.1041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170972
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.titleIndependent 4-tetrahedra connection representation of Regge calculus
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