Phys. Rev. D 49, 2882–2896 (1994)Phase space coordinates and the Hamiltonian constraint of Regge calculusReceived 15 November 1993; published in the issue dated 15 March 1994 We suggest that the phase space of Regge calculus is spanned by the areas and the deficit angles corresponding to the two-simplexes on the spacelike hypersurface of simplicial spacetime. Our proposal is based on a slight modification of the Ashtekar formulation of canonical gravity. In terms of these phase space coordinates we write an equation which we suggest to be a simplicial version of the Hamiltonian constraint of canonical gravity. © 1994 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.49.2882
DOI:
10.1103/PhysRevD.49.2882
PACS:
04.60.Nc, 04.20.Cv, 04.20.Fy
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