The Geometry of Small Causal Cones
General Relativity and Quantum Cosmology
2017-04-19 v1
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.
Cite
@article{arxiv.1611.00785,
title = {The Geometry of Small Causal Cones},
author = {Ian Jubb},
journal= {arXiv preprint arXiv:1611.00785},
year = {2017}
}