Cartan approach to Teleparallel Equivalent to General Relativity: A review

Author:

Huguet E.1ORCID,Le Delliou M.234,Fontanini M.1

Affiliation:

1. APC-Astroparticule et Cosmologie (UMR-CNRS 7164), Université de Paris, F-75006 Paris, France

2. Institute of Theoretical Physics & Research Center of Gravitation, School of Physical Science and Technology, Lanzhou University, No. 222, South Tianshui Road, Lanzhou, Gansu 730000, P. R. China

3. Faculdade de Ciências, Instituto de Astrofísica e Ciências do Espaço, Universidade de Lisboa, Ed. C8, Campo Grande, 1769-016 Lisboa, Portugal

4. Lanzhou Center for Theoretical Physics, School of Physical Science and Technology, Lanzhou University, No. 222, South Tianshui Road, Lanzhou, Gansu 730000, P. R. China

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.

Funder

Lanzhou University

Fundamental Research Funds for the Central Universities

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Translation gauge field theory of gravity in Minkowski spacetime*;Chinese Physics C;2023-11-01

2. Poincaré Gauge Gravity Primer;Modified and Quantum Gravity;2023

3. A note about the non-commutative three-sphere with torsion and non-metricity;International Journal of Geometric Methods in Modern Physics;2022-09-20

4. Conservation laws in gauge gravity theory;International Journal of Geometric Methods in Modern Physics;2022-02-21

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