79 citations · 217 across the 15 of their papers we have counts for
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math-ph1999★ 1 cited
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★ 15 cited
A Morse Theory for Massive Particles and Photons in General Relativity
Fabio Giannoni, Antonio Masiello, Paolo Piccione
In this paper we develop a Morse Theory for timelike geodesics parameterized by a constant multiple of proper time. The results are obtained using an extension to the timelike case…