Fully relativistic three-dimensional Cauchy-characteristic matching for physical degrees of freedom

A fully relativistic three-dimensional Cauchy-characteristic matching (CCM) algorithm is implemented for physical degrees of freedom in a numerical relativity code SpECTRE. The method is free of approximations and can be applied to any physical system. We test the algorithm with various scenarios in...

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Bibliographic Details
Published in:arXiv.org 2024-06
Main Authors: Ma, Sizheng, Moxon, Jordan, Scheel, Mark A, Nelli, Kyle C, Deppe, Nils, Bonilla, Marceline S, Kidder, Lawrence E, Kumar, Prayush, Lovelace, Geoffrey, Throwe, William, Vu, Nils L
Format: Article
Language:English
Subjects:
Algorithms
Gravitational waves
Matching
Numerical relativity
Perturbation
Relativistic effects
Relativity
Wave propagation
Waveforms
Online Access:Get full text
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Summary:A fully relativistic three-dimensional Cauchy-characteristic matching (CCM) algorithm is implemented for physical degrees of freedom in a numerical relativity code SpECTRE. The method is free of approximations and can be applied to any physical system. We test the algorithm with various scenarios involving smooth data, including the propagation of Teukolsky waves within a flat background, the perturbation of a Kerr black hole with a Teukolsky wave, and the injection of a gravitational-wave pulse from the characteristic grid. Our investigations reveal no numerical instabilities in the simulations. In addition, the tests indicate that the CCM algorithm effectively directs characteristic information into the inner Cauchy system, yielding higher precision in waveforms and smaller violations of Bondi-gauge constraints, especially when the outer boundary of the Cauchy evolution is at a smaller radius.
ISSN:2331-8422
DOI:10.48550/arxiv.2308.10361