A Note on the Gannon-Lee Theorem
Abstract
We prove a Gannon-Lee theorem for non-globally hyperbolic Lo\-rentzian metrics of regularity C1, the most general regularity class currently available in the context of the classical singularity theorems. Along the way we also prove that any maximizing causal curve in a C1-spacetime is a geodesic and hence of C2-regularity.
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