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Analytical and Numerical Approaches to Mathematical Relativity
The space of null geodesics, G, of a space-time, M, carries information on various aspects of the causal structure M. In this contribution, we will review the space of null geodesics, G, and some natural structures which it carries, and see how aspects of the causal structure of M are encoded there. If M is strongly causal, then G has a natural contact manifold structure, points are represented in G by smooth Legendrian S 2 s, and the relationships between these S 2 s reflect causaldoi:10.1007/11550259_2 fatcat:wex6vylf3vap7cehefgbbofo5u