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Gauge Structure of Teleparallel Gravity

1
Instituto de Física Teórica, Universidade Estadual Paulista (UNESP), 05409-011 São Paulo, Brazil
2
Nuclear Safety Institute (IBRAE), Russian Academy of Sciences, B. Tulskaya 52, 115191 Moscow, Russia
*
Author to whom correspondence should be addressed.
This paper is based on the talk at the Teleparallel Universes in Salamanca, Salamanca, Spain, 26–28 November 2018.
Universe 2019, 5(6), 139; https://doi.org/10.3390/universe5060139
Received: 23 April 2019 / Revised: 30 May 2019 / Accepted: 1 June 2019 / Published: 5 June 2019
(This article belongs to the Special Issue Selected Papers from Teleparallel Universes in Salamanca)
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. View Full-Text
Keywords: teleparallel gravity; gauge group; fiber bundle; connections teleparallel gravity; gauge group; fiber bundle; connections
MDPI and ACS Style

Pereira, J.G.; Obukhov, Y.N. Gauge Structure of Teleparallel Gravity. Universe 2019, 5, 139.

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