Equivalence, reduction, and sophistication in teleparallel gravity

Journal article

Abstract:: We discuss the (in)equivalence of various formulations of teleparallel gravity, building upon recent work by Weatherall and Meskhidze (2024). We then think about these different versions of teleparallel gravity from the point of view of reduction/sophistication—a distinction drawn by Dewar (2019) in the context of philosophical literature on symmetries—and along the way introduce and scrutinise the resources of Cartan geometry and of higher gauge theory.

Files:: March_et_al_2025_Equivalence_reduction_and.pdf

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Language:: English
Keywords:: teleparallel gravity

general relativity

theoretical equivalence

categorical equivalence

reduction

sophistication

Cartan geometry

higher gauge theory
Pubs id:: 2110607
Local pid:: pubs:2110607
Deposit date:: 2025-04-09

Copyright holder:: March et al.
Rights statement:: © The Author(s) 2025. Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.

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