English

A brief introduction to non-regular spacetime geometry

General Relativity and Quantum Cosmology 2024-04-30 v1 Mathematical Physics Differential Geometry Metric Geometry math.MP

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.

Keywords

Cite

@article{arxiv.2404.18651,
  title  = {A brief introduction to non-regular spacetime geometry},
  author = {Clemens Sämann},
  journal= {arXiv preprint arXiv:2404.18651},
  year   = {2024}
}

Comments

19 pages, 3 Figures; invited article for International Mathematical News, the journal of the Austrian Mathematical Society

R2 v1 2026-06-28T16:09:41.545Z