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用正则非黎曼几何识别黎曼奇点

Identifying Riemannian Singularities with Regular Non-Riemannian Geometry.

作者信息

Morand Kevin, Park Jeong-Hyuck, Park Miok

机构信息

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

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.

出版信息

Phys Rev Lett. 2022 Jan 28;128(4):041602. doi: 10.1103/PhysRevLett.128.041602.

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.

摘要

承认非黎曼几何,双场论将时空概念扩展到了黎曼范式之外。我们将广义相对论中已知的一类奇异时空与正则非黎曼几何联系起来。前者的发散仅仅对应于后者广义度规的坐标奇点。在弦框架下计算,它们具有一个不可穿透的非黎曼球面,在其之外测地线是完备的,没有奇异偏差。接近非黎曼点时,粒子冻结,弦变为(反)手征的。

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