Spectral-infinite element method approach for computing asymptotically flat initial data sets in general relativity
General Relativity and Quantum Cosmology
2024-03-19 v2
Abstract
In this work, we introduce a spectral-infinite element method for solving Einstein's constraint equations in hyperbolic form. As an application of this, we use this method for computing asymptotically flat perturbations of a Kerr black hole with small angular momentum. Our numerical infrastructure is based on the use of a spin-weighted spherical harmonic transform combined with an infinite element method for solving partial differential equations in unbounded domains.
Cite
@article{arxiv.2307.08867,
title = {Spectral-infinite element method approach for computing asymptotically flat initial data sets in general relativity},
author = {Leon Escobar-Diaz and Paula Bran},
journal= {arXiv preprint arXiv:2307.08867},
year = {2024}
}