The ďAlembert solution in hyperboloidal foliations
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916385465040896 |
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| author | Kroon, Juan A. Valiente Da Silva, Lidia J. Gomes |
| author_facet | Kroon, Juan A. Valiente Da Silva, Lidia J. Gomes |
| contents | We explicitly construct the analogue of the ďAlembert solution to the 1+1 wave equation in an hyperboloidal setting. This hyperboloidal ďAlembert solution is used, in turn, to gain intuition into the behaviour of solutions to the wave equation in a hyperboloidal foliation and to explain some apparently anomalous behaviour observed in numerically constructed solutions discussed in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07045 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The ďAlembert solution in hyperboloidal foliations Kroon, Juan A. Valiente Da Silva, Lidia J. Gomes General Relativity and Quantum Cosmology Instrumentation and Methods for Astrophysics Mathematical Physics Computational Physics We explicitly construct the analogue of the ďAlembert solution to the 1+1 wave equation in an hyperboloidal setting. This hyperboloidal ďAlembert solution is used, in turn, to gain intuition into the behaviour of solutions to the wave equation in a hyperboloidal foliation and to explain some apparently anomalous behaviour observed in numerically constructed solutions discussed in the literature. |
| title | The ďAlembert solution in hyperboloidal foliations |
| topic | General Relativity and Quantum Cosmology Instrumentation and Methods for Astrophysics Mathematical Physics Computational Physics |
| url | https://arxiv.org/abs/2403.07045 |