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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.
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R.-J. Yang, Conformal transformation in f ( T ) f(T) theories
2011
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C.-Q. Geng, C.-C. Lee, E. N. Saridakis, and Y.-P. Wu, “Teleparallel” dark energy
2011
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M. Li, R.-X. Miao, and Y.-G. Miao, Degrees of freedom of f ( T ) f(T) gravity
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J. W. Maluf and F. F. Faria, Conformally invariant teleparallel theories of gravity
2012
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N. Tamanini and C. G. Böhmer, Good and bad tetrads in f(T) gravity
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Y.-P. Wu and C.-Q. Geng, Primordial Fluctuations within Teleparallelism
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G. Farrugia and J. L. Said, Stability of the flat FLRW metric in f ( T ) f(T) gravity
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M. Krššák, Holographic Renormalization in Teleparallel Gravity
2017
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A. Golovnev, T. Koivisto, and M. Sandstad, On the covariance of teleparallel gravity theories
2017
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C. Bejarano, R. Ferraro, and M. J. Guzmán, McVittie solution in f(T) gravity
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2017
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