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Generalised time functions and finiteness of the Lorentzian distance

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 نشر من قبل Adam Rennie
 تاريخ النشر 2014
  مجال البحث فيزياء
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We show that finiteness of the Lorentzian distance is equivalent to the existence of generalised time functions with gradient uniformly bounded away from light cones. To derive this result we introduce new techniques to construct and manipulate achronal sets. As a consequence of these techniques we obtain a functional description of the Lorentzian distance extending the work of Franco and Moretti.



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