On the phase space coordinates and the Hamiltonian constraint of Regge calculus

Nov, 1993
38 pages
Published in:
  • Phys.Rev.D 49 (1994) 2882-2896
Report number:
  • JYFL-21-1993

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Abstract: (APS)
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.
  • gravitation
  • invariance: Lorentz
  • kinematics: phase space
  • Hamiltonian formalism: constraint
  • Regge poles
  • general relativity
  • space-time
  • Friedman model
  • quantization