A locally conformally symplectic structure on Kerr space-time
Differential Geometry
2023-01-10 v2 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.2212.08210,
title = {A locally conformally symplectic structure on Kerr space-time},
author = {Jack Morava},
journal= {arXiv preprint arXiv:2212.08210},
year = {2023}
}
Comments
Considerably revised; thanks to so many. Comments very welcome