AN ADM3-RELATIVITY(1 FORMULATION FOR SMOOTH LATTICE GENERAL)

A new hybrid algorithm for numerical relativity is presented. We emplo y a lattice in which the metric is recorded as pure scalar quantities such as the geodesic leg lengths. The dynamics of the lattice is gover ned by the standard ADM 3 + 1 equations, which are given as a set of s econd-order ordinary differential equations for the scalar data of the lattice. The only approximation introduced in this algorithm is in th e approximation of a smooth metric by a lattice. No approximations are introduced into the field equations nor in their application to the l attice. An example for the Kasner T-3 cosmology is presented and the r esults shown to be in excellent agreement with the continuum solution.