Identifying Riemannian Singularities with Regular Non-Riemannian Geometry.

Phys Rev Lett

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.

Published: January 2022

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.

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http://dx.doi.org/10.1103/PhysRevLett.128.041602DOI Listing

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