Papers
Authors
Leo Brewin
Abstract
We will ask the question of whether or not the Regge calculus (and two related
simplicial formulations) is a consistent approximation to General Relativity.
Our criteria will be based on the behaviour of residual errors in the discrete
equations when evaluated on solutions of the Einstein equations. We will show
that for generic simplicial lattices the residual errors can not be used to
distinguish metrics which are solutions of Einstein's equations from those
that are not. We will conclude that either the Regge calculus is an
inconsistent approximation to General Relativity or that it is incorrect to
use residual errors in the discrete equations as a criteria to judge the
discrete equations.
Reference