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The representation of spacetime through steep time functions

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 نشر من قبل Ettore Minguzzi
 تاريخ النشر 2017
  مجال البحث فيزياء
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 تأليف E. Minguzzi




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In a recent work I showed that the family of smooth steep time functions can be used to recover the order, the topology and the (Lorentz-Finsler) distance of spacetime. In this work I present the main ideas entering the proof of the (smooth) distance formula, particularly the product trick which converts metric statements into causal ones. The paper ends with a second proof of the distance formula valid in globally hyperbolic Lorentzian spacetimes.



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