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arXiv · 1611.00785

The Geometry of Small Causal Cones

Ian Jubb
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Abstract

We derive a formula for the spacetime volume of a small causal cone. We use this formula within the context of causal set theory to construct causal set expressions for certain geometric quantities relating to a spacetime with a spacelike hypersurface. We also consider a scalar field on the causal set, and obtain causal set expressions relating to its normal derivatives with respect to the hypersurface.

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Ian Jubb. 2016-11-02. The Geometry of Small Causal Cones. https://doi.org/10.1088/1361-6382%2Faa68b7

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