Cartan approach to Teleparallel Equivalent to General Relativity: a review
E. Huguet, M. Le Delliou, M. Fontanini

TL;DR
This paper reviews a Cartan connection formulation of TEGR, offering a gauge theoretic perspective that clarifies the mathematical structure of the theory and addresses previous conceptual questions.
Contribution
It introduces a novel Cartan connection approach to TEGR, providing a new gauge theoretic formulation that enhances understanding of its mathematical foundations.
Findings
Proposes a Cartan connection formulation of TEGR.
Clarifies the gauge theoretic structure of TEGR.
Addresses previous questions about the mathematical nature of the connection.
Abstract
In previous works, questioning the mathematical nature of the connection in the translations gauge theory formulation of Teleparallel Equivalent to General Relativity (TEGR) Theory led us to propose a new formulation using a Cartan connection. In this review, we summarize the presentation of that proposal and discuss it from a gauge theoretic perspective.
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