Phase space coordinates and the Hamiltonian constraint of Regge calculus

Details Phase space coordinates and the Hamiltonian constraint of Regge calculus Phase space coordinates and the Hamiltonian constraint of Regge calculus

Mar 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrvd..49.2882m&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 49, Issue 6, 15 March 1994, pp.2882-2896

Physics

11

Lattice And Discrete Methods, Fundamental Problems And General Formalism, Canonical Formalism, Lagrangians, And Variational Principles

Scientific paper

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.

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