A locally conformally symplectic structure on Kerr space-time

Jack Morava

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arXiv · 2212.08210

A locally conformally symplectic structure on Kerr space-time

Jack Morava

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Abstract

R Kerr's Ricci-flat Lorentz 4-manifold was shown by B Carter in 1968 to support a classically completely integrable system of geodesics; here we interpret this system in terms of a locally conformally symplectic structure, which we identify (\S 2.2) using characteristic classes defined by Kerr-Schild Cartesian coordinates (regarded as a map to the Cayley-Penrose compactification of Minkowski space). This leads to the definition of an interesting cobordism category of contact 3-manifolds and 4-dimensional locally conformally symplectic cobordisms between them.

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Jack Morava. 2022-12-16. A locally conformally symplectic structure on Kerr space-time. https://arxiv.org/abs/2212.08210

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