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General Relativity and Quantum Cosmology

Title: A brief introduction to non-regular spacetime geometry

Authors: Clemens Sämann
(Submitted on 29 Apr 2024)
Abstract: We give a brief non-technical introduction to non-regular spacetime geometry. In particular, we discuss how curvature, and hence gravity, can be defined without a smooth (differential geometric) calculus.
Comments: 19 pages, 3 Figures; invited article for International Mathematical News, the journal of the Austrian Mathematical Society
Subjects: General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph); Differential Geometry (math.DG); Metric Geometry (math.MG)
MSC classes: 51K10, 53C23, 53C50, 53B30, 53C80, 83C99
Cite as: arXiv:2404.18651 [gr-qc]
  (or arXiv:2404.18651v1 [gr-qc] for this version)

Submission history

From: Clemens Sämann [view email]
[v1] Mon, 29 Apr 2024 12:32:35 GMT (91kb,D)
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