The Sorkin-Johnston State in a Patch of the Trousers Spacetime
General Relativity and Quantum Cosmology
2017-02-17 v2 High Energy Physics - Theory
Abstract
A quantum scalar field in a patch of a fixed, topology-changing, dimensional "trousers" spacetime is studied using the Sorkin-Johnston formalism. The isometry group of the patch is the dihedral group, the symmetry group of the square. The theory is shown to be pathological in a way that can be interpreted as the topology change giving rise to a divergent energy, in agreement with previous results. In contrast to previous results, it is shown that the infinite energy is localised not only on the future light cone of the topology changing singularity, but also on the past cone, due to the time reversal symmetry of the Sorkin-Johnston state.
Keywords
Cite
@article{arxiv.1609.03573,
title = {The Sorkin-Johnston State in a Patch of the Trousers Spacetime},
author = {Michel Buck and Fay Dowker and Ian Jubb and Rafael Sorkin},
journal= {arXiv preprint arXiv:1609.03573},
year = {2017}
}