45 citations · 140 across the 15 of their papers we have counts for
15 papers
A cosmological solution of Regge calculus
Adrian P. Gentle
We revisit the Regge calculus model of the Kasner cosmology first considered by S. Lewis. One of the most highly symmetric applications of lattice gravity in the literature, Lewis'…
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…
The BSSN formulation is a partially constrained evolution system
Adrian P. Gentle
Relativistic simulations in 3+1 dimensions typically monitor the Hamiltonian and momentum constraints during evolution, with significant violations of these constraints indicating…
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…