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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2020 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/210704 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Routh Reduction of Palatini Gravity in Vacuum. Santiago Capriotti. SIGMA 16 (2020), 046, 50 pages |
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Capriotti, Santiago 2025-12-15T15:25:03Z 2020 Routh Reduction of Palatini Gravity in Vacuum. Santiago Capriotti. SIGMA 16 (2020), 046, 50 pages 1815-0659 2020 Mathematics Subject Classification: 53C80; 53C05; 83C05; 70S05; 70S10 arXiv:1909.10088 https://nasplib.isofts.kiev.ua/handle/123456789/210704 https://doi.org/10.3842/SIGMA.2020.046 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. The author thanks the CONICET and UNS for financial support, and Eduardo Garca-Torano for valuable discussion regarding aspects of Routh reduction contained in this article, as well as for pointing me out to reference [28]. Also, the author would like to warmly thank the referees for the care they put into reviewing this work. The article has been greatly improved by their suggestions. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Routh Reduction of Palatini Gravity in Vacuum Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| title |
Routh Reduction of Palatini Gravity in Vacuum |
| spellingShingle |
Routh Reduction of Palatini Gravity in Vacuum Capriotti, Santiago |
| title_short |
Routh Reduction of Palatini Gravity in Vacuum |
| title_full |
Routh Reduction of Palatini Gravity in Vacuum |
| title_fullStr |
Routh Reduction of Palatini Gravity in Vacuum |
| title_full_unstemmed |
Routh Reduction of Palatini Gravity in Vacuum |
| title_sort |
routh reduction of palatini gravity in vacuum |
| author |
Capriotti, Santiago |
| author_facet |
Capriotti, Santiago |
| publishDate |
2020 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
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 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/210704 |
| citation_txt |
Routh Reduction of Palatini Gravity in Vacuum. Santiago Capriotti. SIGMA 16 (2020), 046, 50 pages |
| work_keys_str_mv |
AT capriottisantiago routhreductionofpalatinigravityinvacuum |
| first_indexed |
2025-12-17T12:04:32Z |
| last_indexed |
2025-12-17T12:04:32Z |
| _version_ |
1851756980202373120 |