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Identifying Riemannian singularities with regular non-Riemannian geometry

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arxiv 2106.01758 v2 pith:6I742YZT submitted 2021-06-03 hep-th gr-qc

Identifying Riemannian singularities with regular non-Riemannian geometry

classification hep-th gr-qc
keywords non-riemanniangeometriesregularriemanniansingularsingularitiesadmittinganti-
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 1 Pith paper

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