A Morse theory for massive particles and photons in general relativity
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- 作者：Giannoni ; Fabio ; Masiello ; Antonio ; Piccione ; Paolo
- 关键词：General relativity ; 83C22 ; 58F05 ; Morse theory ; General relativity
- 刊名：Journal of Geometry and Physics
- 出版年：2000
- 出版时间：August, 2000
- 年：2000
- 卷：35
- 期：1
- 页码：1-34
- 全文大小：274 K
文摘
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.