The Construction of Sorkin Triangulations

Details The Construction of Sorkin Triangulations The Construction of Sorkin Triangulations

1993-03-05

arxiv.org/abs/gr-qc/9303011v2

Class.Quant.Grav.10:L109-L113,1993

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages (plus one figure not included, available from author on request), Plain Tex, no local preprint number (Only change: om

Scientific paper

10.1088/0264-9381/10/8/004

Some time ago, Sorkin (1975) reported investigations of the time evolution and initial value problems in Regge calculus, for one triangulation each of the manifolds $R*S^3$ and $R^4$. Here we display the simple, local characteristic of those triangulations which underlies the structure found by Sorkin, and emphasise its general applicability, and therefore the general validity of Sorkin's conclusions. We also make some elementary observations on the resulting structure of the time evolution and initial value problems in Regge calculus, and add some comments and speculations.

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