Abstract

In this paper, we have implemented the Galerkin-collocation method to determine the initial data in two cases of interest for numerical relativity: vacuum axisymmetric Brill waves, and the interaction of axisymmetric Brill waves with a nonrotating black hole, or a distorted black hole. The numerical method combines the main features of the Galerkin and collocation methods which produce very accurate initial data. We have also calculated the Arnowitt-Deser-Misner masses and the location of the apparent horizons of the initial data sets under consideration.

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