In this paper we develop a Morse theory for time-like geodesics parameterized by a constant multiple of proper time. The results are obtained using an extension to the time-like case of the relativistic Fermat principle, and techniques from Global Analysis on infinite dimensional manifolds. In the second part of the paper we discuss a limit process that allows to obtain also a Morse theory for light rays.
A Morse theory for massive particles and photons in general relativity / Giannoni, F.; Masiello, A.; Piccione, P.. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - STAMPA. - 35:1(2000), pp. 1-34. [10.1016/S0393-0440(99)00045-5]
A Morse theory for massive particles and photons in general relativity
Masiello, A.;
2000-01-01
Abstract
In this paper we develop a Morse theory for time-like geodesics parameterized by a constant multiple of proper time. The results are obtained using an extension to the time-like case of the relativistic Fermat principle, and techniques from Global Analysis on infinite dimensional manifolds. In the second part of the paper we discuss a limit process that allows to obtain also a Morse theory for light rays.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
