English

Geometry of teleparallel theories

General Relativity and Quantum Cosmology 2024-06-12 v3 High Energy Physics - Theory

Abstract

I give a brief introduction to and explain the geometry of teleparallel models of modified gravity. In particular I explain why, in my opinion, the covariantised approaches are not needed and the Weitzenb\"ock connection is the most natural representation of the parallel transport structure. An interesting point is that it also applies to the symmetric teleparallel case. I also share my thoughts on why the teleparallel framework does not seem to be a next rung in the ladder of understanding the real worlds' gravity. At the same time, these theories do have a clear and justified academic interest to them.

Keywords

Cite

@article{arxiv.2312.13858,
  title  = {Geometry of teleparallel theories},
  author = {Alexey Golovnev},
  journal= {arXiv preprint arXiv:2312.13858},
  year   = {2024}
}

Comments

8 pages; a remark added; prepared for proceedings of the International Conference on Particle Physics and Cosmology dedicated to memory of Valery Rubakov, Yerevan, Armenia, October 2023

R2 v1 2026-06-28T13:58:42.552Z