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arXiv · 2307.08867

Spectral-infinite element method approach for computing asymptotically flat initial data sets in general relativity

Leon Escobar-Diaz·Paula Bran
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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.

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Leon Escobar-Diaz, Paula Bran. 2023-07-17. Spectral-infinite element method approach for computing asymptotically flat initial data sets in general relativity. https://arxiv.org/abs/2307.08867

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