Papers
Authors
Leo Brewin
Abstract
Numerical results, based on a lattice method for computational general relativity, will be
presented for Cauchy evolution of initial data for the Brill, Teukolsky and polarised Gowdy
space-times. The simple objective of this paper is to demonstrate that the lattice method
can, at least for these space-times, match results obtained from contemporary methods. Some
of the issues addressed in this paper include the handling of axisymmetric instabilities (in
the Brill space-time) and an implementation of a Sommerfeld radiation condition for the
Brill and Teukolsky space-times. It will be shown that the lattice method performs
particularly well in regard to the passage of the waves through the outer boundary.
Questions concerning multiple black-holes, mesh refinement and long term stability will not
be discussed here but may form the basis of future work.
Reference