Tidal forces in f(R) theories of gravity
Despite the extraordinary attention that modified gravity theories have attracted over the past decade, the geodesic deviation equation in this context has not received proper formulation thus far. This equation provides an elegant way to investigate the timelike, null and spacelike structure of spa...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/33597 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/33597 |
| Access Level: | acceso abierto |
| Palabra clave: | 531.5 530.12 Geodesic deviation equation Gravity theories General relativity Física (Física) Física-Modelos matemáticos 22 Física |
| Sumario: | Despite the extraordinary attention that modified gravity theories have attracted over the past decade, the geodesic deviation equation in this context has not received proper formulation thus far. This equation provides an elegant way to investigate the timelike, null and spacelike structure of spacetime geometries. In this investigation we provide the full derivation of this equation in situations where general relativity has been extended in Robertson-Walker background spacetimes. We find that for null geodesics the contribution arising from the geometrical new terms is in general nonzero. Finally we apply the results to a well-known class of f(R) theories, compare the results with general relativity predictions and obtain the equivalent area distance relation. |
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