Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes
Differential forms on Lorentzian spacetimes are a well-established subject. On Galilean and Carrollian spacetimes, it does not seem to be quite so. This may be due to the absence of the Hodge star operator. There are, however, potentially useful analogs of the Hodge star operator also on the last tw...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2023 |
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| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2023
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211919 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes. Marián Fecko. SIGMA 19 (2023), 024, 24 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | Differential forms on Lorentzian spacetimes are a well-established subject. On Galilean and Carrollian spacetimes, it does not seem to be quite so. This may be due to the absence of the Hodge star operator. There are, however, potentially useful analogs of the Hodge star operator also on the last two spacetimes, namely, intertwining operators between corresponding representations on forms. Their use could perhaps make differential forms as attractive a tool for physics on Galilean and Carrollian spacetimes as forms on Lorentzian spacetimes definitely proved to be.
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| ISSN: | 1815-0659 |