Geometry of teleparallel theories

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 Weitzenböck 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.

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