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arXiv · 1510.08139

The Contact Structure in the Space of Light Rays

Alfredo Bautista·Alberto Ibort·Javier Lafuente
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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.

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Alfredo Bautista, Alberto Ibort, Javier Lafuente. 2015-10-28. The Contact Structure in the Space of Light Rays. https://arxiv.org/abs/1510.08139

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