Routh Reduction of Palatini Gravity in Vacuum
An interpretation of Einstein-Hilbert gravity equations as a Lagrangian reduction of Palatini gravity is made. The main technique involved in this task consists of representing the equations of motion as a set of differential forms on a suitable bundle. In this setting, Einstein-Hilbert gravity can...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2020 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2020
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/210704 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Routh Reduction of Palatini Gravity in Vacuum. Santiago Capriotti. SIGMA 16 (2020), 046, 50 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | An interpretation of Einstein-Hilbert gravity equations as a Lagrangian reduction of Palatini gravity is made. The main technique involved in this task consists of representing the equations of motion as a set of differential forms on a suitable bundle. In this setting, Einstein-Hilbert gravity can be considered as a kind of Routh reduction of the underlying field theory for Palatini gravity. As a byproduct of this approach, a novel set of conditions for the existence of a vielbein for a given metric is found.
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| ISSN: | 1815-0659 |