S M would like to thank Vijay Varma and Leo C Stein for useful discussion. We thank the anonymous referees for their insightful and heuristic comments and suggestions. Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Economic Development and by the Province of Ontario through the Ministry of Colleges and Universities. This material is based upon work supported by the National Science Foundation under Grant Nos. PHY-2407742, PHY-2207342, and OAC-2209655 at Cornell. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation. This work was supported by the Sherman Fairchild Foundation at Cornell.
Einstein–Klein–Gordon system via Cauchy-characteristic evolution: computation of memory and ringdown tail
Creators
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1.
Perimeter Institute
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2.
California Institute of Technology
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3.
Cornell University
Abstract
Cauchy-characteristic evolution (CCE) is a powerful method for accurately extracting gravitational waves at future null infinity. In this work, we extend the previously implemented CCE system within the numerical relativity code SpECTRE by incorporating a scalar field. This allows the system to capture features of beyond-general-relativity theories. We derive scalar contributions to the equations of motion, Weyl scalar computations, Bianchi identities, and balance laws at future null infinity. Our algorithm, tested across various scenarios, accurately reveals memory effects induced by both scalar and tensor fields and captures Price’s power-law tail (u^(-l-2)) in scalar fields at future null infinity, in contrast to the t^(-2l-3) tail at future timelike infinity.
Copyright and License
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Acknowledgement
Additional details
Related works
- Is new version of
- Discussion Paper: arXiv:2409.06141 (arXiv)
Funding
- Innovation, Science and Economic Development Canada
- Ministry of Colleges and Universities
- National Science Foundation
- PHY-2407742
- National Science Foundation
- PHY-2207342
- National Science Foundation
- OAC-2209655
- Sherman Fairchild Foundation
Dates
- Accepted
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2025-01-28
- Available
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2025-02-11Published online