A variational framework for higher order perturbations
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914691104636928 |
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| author | Chiaffredo, F. Fatibene, L. Ferraris, M. Ricossa, E. Usseglio, D. |
| author_facet | Chiaffredo, F. Fatibene, L. Ferraris, M. Ricossa, E. Usseglio, D. |
| contents | A covariant, global, variational framework for perturbations in field theories is presented. Perturbations are obtained as vertical vector fields on the configuration bundle and they drag, exactly, solution into solutions. The flow of a perturbation drags solutions into solutions and the dragged perturbed solutions can be expanded in a series with respect to the flow parameter, hence it contains perturbations at any order. Mechanics is included as a special case. As a simple application, we recover the well-known discussion about stability of geodesics on a sphere $S_2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_12907 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A variational framework for higher order perturbations Chiaffredo, F. Fatibene, L. Ferraris, M. Ricossa, E. Usseglio, D. Mathematical Physics General Relativity and Quantum Cosmology A covariant, global, variational framework for perturbations in field theories is presented. Perturbations are obtained as vertical vector fields on the configuration bundle and they drag, exactly, solution into solutions. The flow of a perturbation drags solutions into solutions and the dragged perturbed solutions can be expanded in a series with respect to the flow parameter, hence it contains perturbations at any order. Mechanics is included as a special case. As a simple application, we recover the well-known discussion about stability of geodesics on a sphere $S_2$. |
| title | A variational framework for higher order perturbations |
| topic | Mathematical Physics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2310.12907 |