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We give a short review on the status of research on the theoretical foundations of $f(T)$ gravity theories.
W. Kopczyński, Problems with metric-teleparallel theories of gravitation, J. Phys. A: Math. Gen. 15
1982
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J. M. Nester, Is there really a problem with the teleparallel theory?, Class. Quantum Grav. 5
1988
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2004
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R. Ferraro and F. Fiorini, Modified teleparallel gravity: Inflation without inflaton, Phys. Rev. D 75
2007
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G. R. Bengochea and R. Ferraro, Dark torsion as the cosmic speed-up, Phys. Rev. D 79
2009
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M. Hashim, W. El Hanafy, A. Golovnev and A. El-Zant, Toward a concordance teleparallel cosmology I: Background dynamics, arXiv: 2010.14964
2010
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B. Li, T. P. Sotiriou and J. D. Barrow, Large-scale Structure in f(T) Gravity, Phys. Rev. D 83
2011
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S. Chen, J.B. Dent, S. Dutta and E.N. Saridakis, Cosmological perturbations in f(T) gravity, Phys. Rev. D 83
2011
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M. Li, R. X. Miao and Y. G. Miao, Degrees of freedom of f ( T ) f(T) gravity, JHEP 1107
2011
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R. J. Yang, Conformal transformation in f ( T ) f(T) theories, EPL 93
2011
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2012
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2012
Earlier work this paper cites.
R. Aldrovandi and J. G. Pereira, Teleparallel Gravity : An Introduction, Fundam. Theor. Phys. 173
2013
Earlier work this paper cites.
K. Bamba, S. Capozziello, M. De Laurentis, S. Nojiri and D. Sáez-Gómez, No further gravitational wave modes in F ( T ) F(T) gravity, Phys. Lett. B 727
2013
Cited alongside, same era.
Y. C. Ong, K. Izumi, J. M. Nester and P. Chen, Problems with Propagation and Time Evolution in f(T) Gravity, Phys. Rev. D 88
2013
Cited alongside, same era.
K. Izumi, J. A. Gu and Y. C. Ong, Acausality and Nonunique Evolution in Generalized Teleparallel Gravity, Phys. Rev. D 89
2014
Cited alongside, same era.
G. G. L. Nashed, Exact Axially Symmetric Solution in f(T) Gravity Theory, Adv. High Energy Phys. 2014
2014
Cited alongside, same era.
M.L. Ruggiero and N. Radicella, Weak-field spherically symmetric solutiuons in f(T) gravity, Phys. Rev. D 91
2015
Cited alongside, same era.
Y. F. Cai, C. Li, E. N. Saridakis and L. Xue, f ( T ) f(T) gravity after GW170817 and GRB170817A, Phys. Rev. D 97
2018
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A. Golovnev and T. Koivisto, Cosmological perturbations in modified teleparallel gravity models, JCAP 1811
2018
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A. Finch and J. L. Said, Galactic Rotation Dynamics in f(T) gravity, Eur. Phys. J. C 78
2018
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R. Ferraro and M. J. Guzmán, Hamiltonian formalism for f(T) gravity, Phys. Rev. D 97
2018
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R. Ferraro and M. J. Guzmán, Quest for the extra degree of freedom in f ( T ) f(T) gravity, Phys. Rev. D 98
2018
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R. Ferraro and F. Fiorini, Remnant group of local Lorentz transformations in f ( T ) f(T) theories, Phys. Rev. D 91
2015
Cited alongside, same era.
P. Chen, K. Izumi, J. M. Nester and Y. C. Ong, Remnant Symmetry, Propagation and Evolution in f f (T) Gravity, Phys. Rev. D 91
2015
Cited alongside, same era.
C. Bejarano, R. Ferraro and M. J. Guzmán, Kerr geometry in f(T) gravity, Eur. Phys. J. C 75
2015
Cited alongside, same era.
M. Krššák and E. N. Saridakis, The covariant formulation of f(T) gravity, Class. Quant. Grav. 33
2016
Cited alongside, same era.
M. Wright, Conformal transformations in modified teleparallel theories of gravity revisited, Phys. Rev. D 93
2016
Cited alongside, same era.
A. Golovnev, T. Koivisto and M. Sandstad, On the covariance of teleparallel gravity theories, Class. Quant. Grav. 34
2017
Cited alongside, same era.
C. Bejarano, R. Ferraro and M. J. Guzmán, McVittie solution in f(T) gravity, Eur. Phys. J. C 77
2017
Cited alongside, same era.
2019
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D. Blixt, M. Hohmann and C. Pfeifer, On the gauge fixing in the Hamiltonian analysis of general teleparallel theories, Universe 5
2019
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A. Eichhorn, A. Platania, and M. Schiffer, Lorentz invariance violations in the interplay of quantum gravity with matter, Phys. Rev. D 102
2020
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A. Golovnev, Perturbations in f ( T ) f(T) cosmology and the spin connection, JCAP04(2020)014
2020
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S. Bahamonde, J.L. Said and M. Zubair, Solar system tests in modified teleparallel gravity, JCAP10(2020)024
2020
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R. Ferraro and M. J. Guzmán, Pseudoinvariance and the extra degree of freedom in f(T) gravity, Phys. Rev. D 101
2020
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M. Blagojevic and J.M. Nester, Local symmetries and physical degrees of freedom in f(T) gravity: a Dirac Hamiltonian constraint analysis, Phys. Rev. D 102
2020
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A. Golovnev and M.J. Guzmán, Disformal transformations in modified teleparallel gravity, Symmetry 12 (2020) 152
2020
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