The Hilbert Action in Regge Calculus

Details The Hilbert Action in Regge Calculus The Hilbert Action in Regge Calculus

1997-08-06

arxiv.org/abs/gr-qc/9708011v1

Class.Quant.Grav.14:L199-L204,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, Plain TeX, no figures

Scientific paper

10.1088/0264-9381/14/12/004

The Hilbert action is derived for a simplicial geometry. I recover the usual Regge calculus action by way of a decomposition of the simplicial geometry into 4-dimensional cells defined by the simplicial (Delaunay) lattice as well as its dual (Voronoi) lattice. Within the simplicial geometry, the Riemann scalar curvature, the proper 4-volume, and hence, the Regge action is shown to be exact, in the sense that the definition of the action does not require one to introduce an averaging procedure, or a sequence of continuum metrics which were common in all previous derivations. It appears that the unity of these two dual lattice geometries is a salient feature of Regge calculus.

Affiliated with

Also associated with

No associations

Rating

The Hilbert Action in Regge Calculus does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Hilbert Action in Regge Calculus, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Hilbert Action in Regge Calculus will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-244283