Fermat's principle in general relativity via Herglotz variational formalism
New form of Fermat's principle for light propagation in arbitrary (i.e. in general neither static nor stationary) gravitational field is proposed. It is based on Herglotz extension of canonical formalism and simple relation between the dynamics described by the Lagrangians homogeneous in veloci...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321324003109 |
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| _version_ | 1841550722112421888 |
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| author | Joanna Piwnik Joanna Gonera Piotr Kosiński |
| author_facet | Joanna Piwnik Joanna Gonera Piotr Kosiński |
| author_sort | Joanna Piwnik |
| collection | DOAJ |
| description | New form of Fermat's principle for light propagation in arbitrary (i.e. in general neither static nor stationary) gravitational field is proposed. It is based on Herglotz extension of canonical formalism and simple relation between the dynamics described by the Lagrangians homogeneous in velocities and the reduced dynamics on lower-dimensional configuration manifold. This approach is more flexible as it allows to extend immediately the Fermat principle to the case of massive particles and to eliminate any space-time coordinate, not only x0. |
| format | Article |
| id | doaj-art-e139358349434ce7965751735cd86ef3 |
| institution | Kabale University |
| issn | 0550-3213 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj-art-e139358349434ce7965751735cd86ef32025-01-10T04:37:46ZengElsevierNuclear Physics B0550-32132025-01-011010116744Fermat's principle in general relativity via Herglotz variational formalismJoanna Piwnik0Joanna Gonera1Piotr Kosiński2Faculty of Physics and Applied Informatics, University of Lodz, PolandFaculty of Physics and Applied Informatics, University of Lodz, PolandCorresponding author.; Faculty of Physics and Applied Informatics, University of Lodz, PolandNew form of Fermat's principle for light propagation in arbitrary (i.e. in general neither static nor stationary) gravitational field is proposed. It is based on Herglotz extension of canonical formalism and simple relation between the dynamics described by the Lagrangians homogeneous in velocities and the reduced dynamics on lower-dimensional configuration manifold. This approach is more flexible as it allows to extend immediately the Fermat principle to the case of massive particles and to eliminate any space-time coordinate, not only x0.http://www.sciencedirect.com/science/article/pii/S0550321324003109 |
| spellingShingle | Joanna Piwnik Joanna Gonera Piotr Kosiński Fermat's principle in general relativity via Herglotz variational formalism Nuclear Physics B |
| title | Fermat's principle in general relativity via Herglotz variational formalism |
| title_full | Fermat's principle in general relativity via Herglotz variational formalism |
| title_fullStr | Fermat's principle in general relativity via Herglotz variational formalism |
| title_full_unstemmed | Fermat's principle in general relativity via Herglotz variational formalism |
| title_short | Fermat's principle in general relativity via Herglotz variational formalism |
| title_sort | fermat s principle in general relativity via herglotz variational formalism |
| url | http://www.sciencedirect.com/science/article/pii/S0550321324003109 |
| work_keys_str_mv | AT joannapiwnik fermatsprincipleingeneralrelativityviaherglotzvariationalformalism AT joannagonera fermatsprincipleingeneralrelativityviaherglotzvariationalformalism AT piotrkosinski fermatsprincipleingeneralrelativityviaherglotzvariationalformalism |