• Open Access

Identifying Riemannian Singularities with Regular Non-Riemannian Geometry

Kevin Morand, Jeong-Hyuck Park, and Miok Park
Phys. Rev. Lett. 128, 041602 – Published 26 January 2022

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 generalized metric for the latter. Computed in the 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.

  • Received 8 June 2021
  • Accepted 24 November 2021

DOI:https://doi.org/10.1103/PhysRevLett.128.041602

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsGravitation, Cosmology & Astrophysics

Authors & Affiliations

Kevin Morand* and Jeong-Hyuck Park

  • Department of Physics, Sogang University, 35 Baekbeom-ro, Mapo-gu, Seoul 04107, Korea

Miok Park

  • Center for Theoretical Physics of the Universe, Institute for Basic Science, Daejeon 34126, Korea and School of Physics, Korea Institute for Advanced Study, Seoul 02455, Korea

  • *morand@sogang.ac.kr
  • park@sogang.ac.kr
  • miokpark76@ibs.re.kr

Article Text

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Issue

Vol. 128, Iss. 4 — 28 January 2022

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