A symmetric hyperbolic formulation of the vacuum Einstein equations in affine-null coordinates
General Relativity and Quantum Cosmology
2021-06-04 v2
Abstract
We present a symmetric hyperbolic formulation of the Einstein equations in affine-null coordinates. Giannakopoulos et. al. (arXiv:2007.06419) recently showed that the most commonly numerically implemented formulations of the Einstein equations in affine-null coordinates (and other single-null coordinate systems) are only weakly-but not strongly-hyperbolic. By making use of the tetrad-based Newman-Penrose formalism, our formulation avoids the hyperbolicity problems of the formulations investigated by Giannakopoulos et. al. We discuss a potential application of our formulation for studying gravitational wave scattering.
Keywords
Cite
@article{arxiv.2104.09972,
title = {A symmetric hyperbolic formulation of the vacuum Einstein equations in affine-null coordinates},
author = {Justin L. Ripley},
journal= {arXiv preprint arXiv:2104.09972},
year = {2021}
}
Comments
updated to match journal version