Papers
Authors
Leo Brewin
Abstract
A new hybrid algorithm for numerical relativity will be presented. We will
employ a lattice in which the metric is recorded as pure scalar quantities
such as the geodesic leg lengths. The dynamics of the lattice will be
governed by the standard ADM 3+1 equations which will be given as a set of
second order ordinary differential equations for the scalar data of the
lattice. The only approximation introduced in this algorithm is in the
approximation of a smooth metric by a lattice. No approximations are
introduced into the field equations nor in their application to the
lattice. An example for the Kasner $T^3$ cosmology will be presented and
the results will be shown to be in excellent agreement with the continuum
solution.
Reference