A polytopal discrete de Rham scheme for the exterior calculus Einstein's equations
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909822145789952 |
|---|---|
| author | Oliynyk, Todd A. Qian, Jia Jia |
| author_facet | Oliynyk, Todd A. Qian, Jia Jia |
| contents | In this work, based on the $3+1$ decomposition in [24, 33], we present a fully exterior calculus breakdown of spacetime and Einstein's equations. Links to the orthonormal frame approach [38] are drawn to help understand the variables in this context. Two formulations are derived, discretised and tested using the exterior calculus discrete de Rham complex [13], and some discrete quantities are shown to be conserved in one of the cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_00286 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A polytopal discrete de Rham scheme for the exterior calculus Einstein's equations Oliynyk, Todd A. Qian, Jia Jia General Relativity and Quantum Cosmology Numerical Analysis In this work, based on the $3+1$ decomposition in [24, 33], we present a fully exterior calculus breakdown of spacetime and Einstein's equations. Links to the orthonormal frame approach [38] are drawn to help understand the variables in this context. Two formulations are derived, discretised and tested using the exterior calculus discrete de Rham complex [13], and some discrete quantities are shown to be conserved in one of the cases. |
| title | A polytopal discrete de Rham scheme for the exterior calculus Einstein's equations |
| topic | General Relativity and Quantum Cosmology Numerical Analysis |
| url | https://arxiv.org/abs/2505.00286 |