148 citations · 1k across the 32 of their papers we have counts for
32 papers
Tullio Regge's legacy: Regge calculus and discrete gravity
John W. Barrett, Daniele Oriti, Ruth M. Williams
The review paper "Discrete Structures in Physics", written in 2000, describes how Regge's discretization of Einstein's theory has been applied in classical relativity and quantum g…
Cosmological modelling with Regge calculus
Rex G. Liu, Ruth M. Williams
The late universe's matter distribution obeys the Copernican principle at only the coarsest of scales. The relative importance of such inhomogeneity is still not well understood. B…
Regge calculus models of closed lattice universes
Rex G. Liu, Ruth M. Williams
This paper examines the behaviour of closed `lattice universes' wherein masses are distributed in a regular lattice on the Cauchy surfaces of closed vacuum universes. Such universe…
Regge calculus models of the closed vacuum -FLRW universe
Rex G. Liu, Ruth M. Williams
The Collins-Williams Regge calculus models of FLRW space-times and Brewin's subdivided models are applied to closed vacuum -FLRW universes. In each case, we embed the Regge Cauc…
Wheeler-DeWitt Equation in 3 + 1 Dimensions
Herbert W. Hamber, Reiko Toriumi, Ruth M. Williams
Physical properties of the quantum gravitational vacuum state are explored by solving a lattice version of the Wheeler-DeWitt equation. The constraint of diffeomorphism invariance…
Wheeler-DeWitt Equation in 2 + 1 Dimensions
Herbert W. Hamber, Reiko Toriumi, Ruth M. Williams
The infrared structure of quantum gravity is explored by solving a lattice version of the Wheeler-DeWitt equations. In the present paper only the case of 2+1 dimensions is consider…