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math.DG2021★ 1 cited
On the space of null geodesics of a spacetime: the compact case, Engel geometry and retrievability
Adrià Marín-Salvador, Roberto Rubio
We compute the contact manifold of null geodesics of the family of spacetimes $\{(\mathbb{S}^2\times\mathbb{S}^1, g_\circ-\frac{d^2}{c^2}dt^2)\}_{d,c\in\mathbb{N}^+\text{ coprime}}…
math.DG2021
On the Canonical Contact Structure of the Space of Null Geodesics of a Spacetime
Adrià Marín-Salvador
The space of null geodesics of a spacetime carries a canonical contact structure which has proved to be key in the discussion of causality in spacetimes. However, not much progress…