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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

Kevin Morand , Jeong-Hyuck Park , Miok Park This is my paper · ORCID
classification hep-thgr-qc
keywords non-riemanniangeometriesregularriemanniansingularsingularitiesadmittinganti-
verification ladder T0 review T1 audit T2 compute T3 formal
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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 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Curvatures and Non-metricities in the Non-Relativistic Limit of Bosonic Supergravity

    hep-th 2026-01 conditional novelty 6.0 of 10

    A metric-only, torsionless-connection formulation with fixed non-metricities rewrites the non-relativistic limit of bosonic supergravity covariantly and matches the vielbein string Newton-Cartan action at Lagrangian level.

  2. The non-relativistic limit of HSZ Theory

    hep-th 2025-05 conditional novelty 6.0 of 10

    The non-relativistic limit of HSZ theory produces non-removable metric and b-field transformation corrections, and a finite four-derivative action requires field redefinitions before the limit.

  3. Traversable wormhole for string, but not for particle

    hep-th 2024-12 reject novelty 6.0 of 10

    A two-parameter NS-NS wormhole background admits chiral string solutions that cross the singular boundary surfaces that particles and ordinary strings cannot.

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