Induced spatial geometry from causal structure

Motivated by the Hawking-King-McCarthy-Malament (HKMM) theorem and the associated reconstruction of spacetime geometry from its causal structure $(M,\prec)$ and local volume element $\epsilon$, we define a one-parameter family of spatial distance functions on a Cauchy hypersurface $\Sigma$ using onl...

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Bibliographic Details
Main Authors: Eichhorn, Astrid (Author) , Surya, Sumati (Author) , Versteegen, Fleur (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 17 Sep 2018
In: Arxiv

Online Access:Verlag, Volltext: http://arxiv.org/abs/1809.06192
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Author Notes:Astrid Eichhorn, Sumati Surya, and Fleur Versteegen
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Induced spatial geometry from causal structure by Eichhorn, Astrid (Author) , Surya, Sumati (Author) , Versteegen, Fleur (Author) ,


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