Teleparallel theories of gravity: illuminating a fully invariant approach

@article{Krk2019TeleparallelTO,
  title={Teleparallel theories of gravity: illuminating a fully invariant approach},
  author={Martin Kr{\vs}{\vs}{\'a}k and R. J. van den Hoogen and Jos{\'e} Geraldo Pereira and Christian Boehmer and A. A. Coley},
  journal={Classical and Quantum Gravity},
  year={2019}
}
Teleparallel gravity and its popular generalization $f(T)$ gravity can be formulated as fully invariant (under both coordinate transformations and local Lorentz transformations) theories of gravity. Several misconceptions about teleparallel gravity and its generalizations can be found in the literature, especially regarding their local Lorentz invariance. We describe how these misunderstandings may have arisen and attempt to clarify the situation. In particular, the central point of confusion… Expand

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TLDR
The role of torsion in gravity has been extensively investigated along the main direction of bringing gravity closer to its gauge formulation and incorporating spin in a geometric description, and various torsional constructions, from teleparallel, to Einstein-Cartan, and metric-affine gauge theories are reviewed. Expand
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