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math-ph1999
The Fermat Principle in General Relativity and Applications
Fabio Giannoni, Antonio Masiello, Paolo Piccione
In this paper we use a general version of Fermat's principle for light rays in General Relativity and a curve shortening method to write the Morse relations for light rays joining…
math-ph1999
Morse Theory for the Travel Time Brachistochrones in Stationary Spacetimes
Fabio Giannoni, Paolo Piccione, Daniel V. Tausk
The travel time brachistochrone curves in a general relativistic framework are timelike curves, satisfying a suitable conservation law with respect to a an observer field, that are…