# Three-dimensional numerical relativity: The evolution of black holes.

@article{Anninos1995ThreedimensionalNR, title={Three-dimensional numerical relativity: The evolution of black holes.}, author={Anninos and Mass{\'o} and Seidel and Suen and Towns}, journal={Physical review. D, Particles and fields}, year={1995}, volume={52 4}, pages={ 2059-2082 } }

We report on a new 3D numerical code designed to solve the Einstein equations for general vacuum spacetimes. This code is based on the standard 3+1 approach using cartesian coordinates. We discuss the numerical techniques used in developing this code, and its performance on massively parallel and vector supercomputers. As a test case, we present evolutions for the first 3D black hole spacetimes. We identify a number of difficulties in evolving 3D black holes and suggest approaches to overcome…

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