6533b7d9fe1ef96bd126ceb1
RESEARCH PRODUCT
Phase space coordinates and the Hamiltonian constraint of Regge calculus.
Jarmo Mäkeläsubject
PhysicsHigh Energy Physics::TheoryGeneral Relativity and Quantum CosmologyHypersurfaceClassical mechanicsHamiltonian constraintSpacetimeGeneral relativityPhase spaceSpace timeRegge calculusCovariant Hamiltonian field theoryMathematical physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1994-03-15 | Physical review. D, Particles and fields |