Hamiltonian lattice gravity. Deformations of discrete manifolds

Details Hamiltonian lattice gravity. Deformations of discrete manifolds Hamiltonian lattice gravity. Deformations of discrete manifolds

Oct 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrvd..36.2297b&link_type=abstract

Physical Review D (Particles and Fields), Volume 36, Issue 8, 15 October 1987, pp.2297-2300

Physics

18

Canonical Formalism, Lagrangians, And Variational Principles

Scientific paper

The structure constants appearing in the Poisson-brackets relations among constraints in the Hamiltonian theory of gravity depend on the properties of deformations of a d-dimensional spatial manifold embedded in a (d+1)-dimensional continuum. The study of such deformations is extended to the case where the d-dimensional manifold is a piecewise flat Regge lattice. Although we cannot say whether the algebra of deformations does or does not close for the general lattice, should it close we provide a prescription for obtaining the structure constants. We discuss the case of small lattices where closure can be demonstrated explicitly.

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