Fully relativistic three-dimensional Cauchy-characteristic matching for physical degrees of freedom
Abstract
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.
Copyright and License
© 2024 American Physical Society.
Acknowledgement
We thank Keefe Mitman and Justin Ripley for useful discussions. This work was supported in part by the Sherman Fairchild Foundation and by NSF Grants No. PHY-2011961, No. PHY-2011968, No. PHY2309231, and No. OAC-2209655 at Caltech. The computations presented here were conducted using the Resnick High Performance Computing Center, a facility supported by Resnick Sustainability Institute at the California Institute of Technology. M. S. B. and G. L. acknowledge support from NSF awards No. PHY-1654359 and No. PHY-2208014, the Dan Black Family Trust, and Nicholas and Lee Begovich.
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Additional details
- ISSN
- 2470-0029
- Sherman Fairchild Foundation
- National Science Foundation
- PHY-2011961
- National Science Foundation
- PHY-2011968
- National Science Foundation
- PHY-2309231
- National Science Foundation
- OAC-2209655
- Resnick Sustainability Institute
- National Science Foundation
- PHY-1654359
- National Science Foundation
- PHY-2208014
- Dan Black Family Trust
- Caltech groups
- Walter Burke Institute for Theoretical Physics, Resnick Sustainability Institute, TAPIR