Lapse and shift in Regge calculus

Details Lapse and shift in Regge calculus Lapse and shift in Regge calculus

Apr 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..47.3254g&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 47, Issue 8, 15 April 1993, pp.3254-3264

Physics

6

Fundamental Problems And General Formalism

Scientific paper

I use my (3+1)-dimensional Regge calculus code to give the first explicit verification that there is an approximate diffeomorphism invariance in Regge calculus. In particular I evolve a neighborhood in a spacelike hypersurface numerically, and show that one may choose lapse and shift freely. I use my numerical approach to analyze the structure of this discrete diffeomorphism group. I also study the constraints in Regge calculus, and find that they are proportional to the third power of the lattice spacing.

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