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arXiv · 2106.01758

Identifying Riemannian singularities with regular non-Riemannian geometry

Kevin Morand·Jeong-Hyuck Park·Miok Park
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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.

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Kevin Morand, Jeong-Hyuck Park, Miok Park. 2021-06-03. Identifying Riemannian singularities with regular non-Riemannian geometry. https://doi.org/10.1103/physrevlett.128.041602

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