On-shell Lagrangians as total derivatives and the generalized Komar charge
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918075933130752 |
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| author | Cerdeira, José Luis V. Ortín, Tomás |
| author_facet | Cerdeira, José Luis V. Ortín, Tomás |
| contents | Lagrangians which transform homogeneously under a global transformation of the fields (a global rescaling, for instance) can be written on-shell as a total derivative which has a universal, solution-independent expression, using a functional version of the Euler theorem for homogeneous functions. We study the uniqueness of this expression and how this result can be used in the construction of generalized Komar charges. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_14024 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On-shell Lagrangians as total derivatives and the generalized Komar charge Cerdeira, José Luis V. Ortín, Tomás High Energy Physics - Theory General Relativity and Quantum Cosmology Lagrangians which transform homogeneously under a global transformation of the fields (a global rescaling, for instance) can be written on-shell as a total derivative which has a universal, solution-independent expression, using a functional version of the Euler theorem for homogeneous functions. We study the uniqueness of this expression and how this result can be used in the construction of generalized Komar charges. |
| title | On-shell Lagrangians as total derivatives and the generalized Komar charge |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2506.14024 |