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Cartan approach to Teleparallel Equivalent to General Relativity: A review

E. Huguet, M. Le Delliou, M. Fontanini

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.

Keywords
Teleparallel gravity; Gauge theory; mathematical aspects; General Relativity and Quantum Cosmology; High Energy Physics - Theory; Mathematical Physics

International Journal of Geometric Methods in Modern Physics
Volume 18, Issue 2140, Page 9
2021 February

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Faculdade de Ciências da Universidade de Lisboa Universidade do Porto Faculdade de Ciências e Tecnologia da Universidade de Coimbra
Fundação para a Ciência e a Tecnologia COMPETE 2020 PORTUGAL 2020 União Europeia