Symplectic structures and globally hyperbolic spacetimes
General Mathematics
2025-10-13 v2
Abstract
The aim of this note is to present a construction of symplectic structures on orientable globally hyperbolic 4-dimensional lorentzian manifolds. Said structures are defined on the manifold itself, not on its cotangent bundle. It also includes a discussion about their geometric quantisation.
Cite
@article{arxiv.2507.02895,
title = {Symplectic structures and globally hyperbolic spacetimes},
author = {Romero Solha},
journal= {arXiv preprint arXiv:2507.02895},
year = {2025}
}
Comments
16 pages; the contents of the previous version are now an example