The paper reviews variational formulations of the Fermat principle for light rays in general relativity, proves it for smooth lightlike curves, and explores extensions while noting topological difficulties in the null cone setting.
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On the formulations of the Fermat principle in general relativity and beyond
The paper reviews variational formulations of the Fermat principle for light rays in general relativity, proves it for smooth lightlike curves, and explores extensions while noting topological difficulties in the null cone setting.