The Contact Structure in the Space of Light Rays

2015/10/28 by A. Bautista, Alberto Ibort, Bautista, Alfredo +2
Physics and Astronomy · #53C50 #53D35 #58A30 #Differential Geometry (math.DG) #FOS: Mathematics #Galaxies: Formation, Evolution, Phenomena #Scientific Research and Discoveries

paper · pdf · doi:10.48550/arxiv.1510.08139

openalex publication_date 2015/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The natural topological, differentiable and geometrical structures on the space of light rays of a given spacetime are discussed. The relation between the causality properties of the original spacetime and the natural structures on the space of light rays are stressed. Finally, a symplectic geometrical approach to the construction of the canonical contact structure on the space of light rays is offered.

Citations

• On Smooth Cauchy Hypersurfaces and Geroch’s Splitting Theorem

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