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arXiv · 1711.00076

The representation of spacetime through steep time functions

E. Minguzzi
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Abstract

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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BibTeXRIS

E. Minguzzi. 2017-10-31. The representation of spacetime through steep time functions. https://doi.org/10.1088/1742-6596%2F968%2F1%2F012009

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