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Infinitesimal relative position vector fields for observers in a reference frame and applications to conformally stationary spacetimes
dc.contributor.author | Caballero, Magdalena | |
dc.contributor.author | De la Fuente, Daniel | |
dc.contributor.author | Rubio, Rafael | |
dc.date.accessioned | 2021-09-07T09:14:19Z | |
dc.date.available | 2021-09-07T09:14:19Z | |
dc.date.issued | 2019 | |
dc.identifier.uri | http://hdl.handle.net/10396/21558 | |
dc.description.abstract | We introduce and analyze the concept of infinitesimal relative position vector field between “infinitesimally nearby” observers, showing the equivalence between different definitions. Through the Fermi–Walker derivative of infinitesimal relative position vector fields along an observer in a reference frame, we characterize spacetimes admitting an umbilic foliation. Sufficient and necessary conditions for those spacetimes to be a conformally stationary spacetime are given. Finally, the important class of cosmological models known as generalized Robertson–Walker spacetimes is characterized. | es_ES |
dc.format.mimetype | application/pdf | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Springer | es_ES |
dc.rights | https://creativecommons.org/licenses/by-nc-nd/4.0/ | es_ES |
dc.source | Analysis and Mathematical Physics 9, 1977-1990 (2019) | es_ES |
dc.subject | Irrotational vector fields | es_ES |
dc.subject | Conformal Killing vector fields | es_ES |
dc.subject | Spatially conformal Killing vector fields | es_ES |
dc.subject | Observers | es_ES |
dc.subject | Fields of observers | es_ES |
dc.title | Infinitesimal relative position vector fields for observers in a reference frame and applications to conformally stationary spacetimes | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.relation.publisherversion | https://doi.org/10.1007/s13324-019-00293-y | es_ES |
dc.relation.projectID | MTM2016-78807-C2-1-P | es_ES |
dc.relation.projectID | Gobierno de España. MTM2016-78807-C2-1-P | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |