General relativistic null-cone evolutions with a high-order scheme
Abstract
We present a high-order scheme for solving the full non-linear Einstein equations on characteristic null hypersurfaces using the framework established by Bondi and Sachs. This formalism allows asymptotically flat spaces to be represented on a finite, compactified grid, and is thus ideal for far-field studies of gravitational radiation. We have designed an algorithm based on 4th-order radial integration and finite differencing, and a spectral representation of angular components. The scheme can offer significantly more accuracy with relatively low computational cost compared to previous methods as a result of the higher-order discretization. Based on a newly implemented code, we show that the new numerical scheme remains stable and is convergent at the expected order of accuracy.
Cite
@article{arxiv.1208.3891,
title = {General relativistic null-cone evolutions with a high-order scheme},
author = {Christian Reisswig and Nigel T. Bishop and Denis Pollney},
journal= {arXiv preprint arXiv:1208.3891},
year = {2015}
}
Comments
24 pages, 3 figures