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- W4236987016 abstract "In this paper we present a survey of Fermat metrics and their applications to stationary spacetimes. A Fermat principle for light rays is stated in this class of spacetimes and we present a variational theory for the light rays and a description of the multiple image effect. Some results on variational methods, as Ljusternik-Schnirelmann and Morse Theory are recalled, to give a description of the variational methods used. Other applications of the Fermat metrics concern the global hyperbolicity and the geodesic connectedeness and a characterization of the Sagnac effect in a stationary spacetime. Finally some possible applications to other class of spacetimes are considered." @default.
- W4236987016 created "2022-05-12" @default.
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- W4236987016 date "2021-08-04" @default.
- W4236987016 modified "2023-09-27" @default.
- W4236987016 title "Fermat Metrics" @default.
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- W4236987016 doi "https://doi.org/10.3390/sym13081422" @default.
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