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A Note on the Gannon-Lee Theorem

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 نشر من قبل Benedict Schinnerl
 تاريخ النشر 2021
  مجال البحث فيزياء
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We prove a Gannon-Lee theorem for non-globally hyperbolic Lo-rentzian metrics of regularity $C^1$, 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 $C^1$-spacetime is a geodesic and hence of $C^2$-regularity.



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