7 citations · 10 across the 3 of their papers we have counts for
5 papers · 1 filter
A Kirchhoff-like conservation law in Regge calculus
Adrian P. Gentle, Arkady Kheyfets, Jonathan R. McDonald +1
Simplicial lattices provide an elegant framework for discrete spacetimes. The inherent orthogonality between a simplicial lattice and its circumcentric dual yields an austere repre…
Regge calculus: a unique tool for numerical relativity
Adrian P. Gentle
The application of Regge calculus, a lattice formulation of general relativity, is reviewed in the context of numerical relativity. Particular emphasis is placed on problems of cur…
The constraints as evolution equations for numerical relativity
Adrian P. Gentle, Nathan D. George, Arkady Kheyfets +1
The Einstein equations have proven surprisingly difficult to solve numerically. A standard diagnostic of the problems which plague the field is the failure of computational schemes…
The Issue of Time in Quantum Geometrodynamics
Nathan D. George, Adrian P. Gentle, Arkady Kheyfets +1
Standard techniques of canonical gravity quantization on the superspace of 3--metrics are known to cause insurmountable difficulties in the description of time evolution. We forwar…
Constraints in Quantum Geometrodynamics
Adrian P. Gentle, Nathan D. George, Arkady Kheyfets +1
We compare different treatments of the constraints in canonical quantum gravity. The standard approach on the superspace of 3--geometries treats the constraints as the sole carrier…