scholarly journals Teleparallel gravity as a gauge theory: Coupling to matter using the Cartan connection

2021 ◽  
Vol 103 (4) ◽  
Author(s):  
E. Huguet ◽  
M. Le Delliou ◽  
M. Fontanini ◽  
Z.-C. Lin
Keyword(s):  
Gauge Theory ◽  
Teleparallel Gravity ◽  
Cartan Connection

Gravity as a gauge theory with Cartan connection

1988 ◽  
Vol 29 (7) ◽  
pp. 1661-1666 ◽  
Author(s):  
Andrew Zardecki
Keyword(s):  
Gauge Theory ◽  
Cartan Connection

scholarly journals Gauge Structure of Teleparallel Gravity

Universe ◽  
2019 ◽  
Vol 5 (6) ◽  
pp. 139 ◽  
Author(s):  
José G. Pereira ◽  
Yuri N. Obukhov
Keyword(s):  
Gauge Theory ◽  
Teleparallel Gravity ◽  
Translation Group ◽  
Physical Support ◽  
Gauge Structure

During the conference Teleparallel Universes in Salamanca, we became aware of a recent paper [M. Fontanini, E. Huguet, and M. Le Delliou, Phys. Rev. D 2019, 99, 064006] in which some criticisms on the interpretation of teleparallel gravity as a gauge theory for the translation group were put forward. This triggered a discussion about the arguments on which those criticisms were based, whose output is described in the present paper. The main conclusion is that to a great extent, those arguments are incorrect, and lack mathematical and physical support.

scholarly journals Cartan approach to Teleparallel Equivalent to General Relativity: A review

2021 ◽  
pp. 2150074
Author(s):  
E. Huguet ◽  
M. Le Delliou ◽  
M. Fontanini
Keyword(s):  
General Relativity ◽  
Gauge Theory ◽  
Cartan Connection ◽  
Theory Formulation ◽  
New Formulation

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.

scholarly journals Teleparallel Gravity as a Higher Gauge Theory

2014 ◽  
Vol 333 (1) ◽  
pp. 153-186 ◽  
Author(s):  
John C. Baez ◽  
Derek K. Wise
Keyword(s):  
Gauge Theory ◽  
Teleparallel Gravity ◽  
Higher Gauge Theory
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