Identifying Riemannian singularities with regular non-Riemannian geometry
High Energy Physics - Theory
2022-01-28 v2 General Relativity and Quantum Cosmology
Abstract
Admitting non-Riemannian geometries, Double Field Theory extends the notion of spacetime beyond the Riemannian paradigm. We identify a class of singular spacetimes known in General Relativity with regular non-Riemannian geometries. The former divergences merely correspond to coordinate singularities of the generalised metric for the latter. Computed in string frame, they feature an impenetrable non-Riemannian sphere outside of which geodesics are complete with no singular deviation. Approaching the non-Riemannian points, particles freeze and strings become (anti-)chiral.
Cite
@article{arxiv.2106.01758,
title = {Identifying Riemannian singularities with regular non-Riemannian geometry},
author = {Kevin Morand and Jeong-Hyuck Park and Miok Park},
journal= {arXiv preprint arXiv:2106.01758},
year = {2022}
}
Comments
v2) 7 pages, title modified, references added, redaction improved, example D relegated to Supplemental Material. To appear in Physical Review Letters