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I consider the sense in which teleparallel gravity and symmetric teleparallel gravity may be understood as gauge theories of gravity.
Space-Time-Matter
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Gauge symmetries of the teleparallel theory of gravity
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Curve it, gauge it, or leave it? practical underdetermination in gravitational theories
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Healey, R., 2007 · 2007
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Newton-cartan theory and teleparallel gravity: The force of a formulation
Knox, E., 2011 · 2011
The geometrical trinity of gravity
Jiménez, J.B., Heisenberg, L., Koivisto, T.S., 2019 · 2019
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Gauge structure of teleparallel gravity
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Teleparallel theory as a gauge theory of translations: Remarks and issues
Delliou, M.L., Huguet, E., Fontanini, M., 2020 · 2020
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Where does general relativity break down?
Weatherall, J.O., 2023 · 2022
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Torsion in the classical spacetime context
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Topics in the Foundations of General Relativity and Newtonian Gravitation Theory
Malament, D., 2012 · 2012
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Teleparallel Gravity: An Introduction
Aldrovandi, R., Pereira, J.G., 2013 · 2013
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Gauge approach to the symmetric teleparallel gravity
Adak, M., 2018 · 2018
Cited alongside, same era.
The teleparallel equivalent of Newton-Cartan gravity
Read, J., Teh, N., 2018 · 2018
Cited alongside, same era.
Teleparallel gravity equivalent of general relativity as a gauge theory: Translation or cartan connection?
Fontanini, M., Huguet, E., Delliou, M.L., 2019 · 2019
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Gauge theory without principal fiber bundles
Gomes, H., 202?
Cited in the paper.
Meskhidze, H., Weatherall, J.O., 2024 · 2023
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Equivalence, reduction, and sophistication in teleparallel gravity
Chen, L., March, E., Read, J., 2024 · 2024
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Is spacetime curved? assessing the underdetermination of general relativity and teleparallel gravity
Mulder, R., Read, J., 2024 · 2024
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Dark energy or modified gravity?
Smeenk, C., Weatherall, J.O., 2024 · 2024
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Why Do We Want a Theory of Quantum Gravity?
Crowther, K., 2025 · 2025
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Gauge Theory and the Geometrisation of Physics
Gomes, H., 2025 · 2025
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