Caustic points of the timelike curve on the de Sitter 3-space

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dc.contributor.authorAtes, Fatma
dc.date.accessioned2024-02-23T14:26:25Z
dc.date.available2024-02-23T14:26:25Z
dc.date.issued2021
dc.departmentNEÜen_US
dc.description.abstractIn cosmology, de Sitter geometry is a model of an accelerated expansion of the universe. This geometry is obtained from the solution of the Einstein field equations with positive cosmological constant. This study focuses on the apparent shapes formed by reflecting the light rays emitted from the point light source according to the timelike mirror curve on the de Sitter 3-space. Then, the reflected light rays intersect at some points which are called singular points. We also have determined the patterns that corresponded to these singular points in the light source plane, namely the caustic points. We have examined the properties of the shapes formed by the caustic and singular points. Finally, a timelike mirror curve is presented on the de Sitter 3-space, and we visualize the projections of the shapes of its mirror images and caustics due to a point light source.en_US
dc.identifier.doi10.1140/epjp/s13360-021-01792-3
dc.identifier.issn2190-5444
dc.identifier.issue7en_US
dc.identifier.scopus2-s2.0-85111526484en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1140/epjp/s13360-021-01792-3
dc.identifier.urihttps://hdl.handle.net/20.500.12452/14165
dc.identifier.volume136en_US
dc.identifier.wosWOS:000681384200006en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofEuropean Physical Journal Plusen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject[Keyword Not Available]en_US
dc.titleCaustic points of the timelike curve on the de Sitter 3-spaceen_US
dc.typeArticleen_US

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