Abstract
A new hybrid algorithm for numerical relativity is presented. We employ a lattice in which the metric is recorded as pure scalar quantities such as the geodesic leg lengths. The dynamics of the lattice is governed by the standard ADM 3 + 1 equations, which are 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 cosmology is presented and the results shown to be in excellent agreement with the continuum solution.
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