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2025

$f(T)$ Gravity: Background Dependence and Propagating Degrees of Freedom

Danieli, Valentina, De Felice, Antonio

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The standard cosmological model, rooted in General Relativity (GR), has achieved remarkable success, yet it still faces unresolved issues like the nature of dark matter, dark energy, and the Hubble tension.

These challenges might imply the need for alternative gravitational theories.
Teleparallel gravity offers a compelling framework by reformulating the gravitational interaction using torsion, rather than curvature, as its fundamental geometrical property.
This paper delves into $f(T)$ gravity, an extension of the Teleparallel Equivalent of General Relativity (TEGR), which introduces non-linear modifications of the torsion scalar $T$.

$f(T)$ Gravity: Background Dependence and Propagating Degrees of Freedom · Around

Built on

J. Beltrán Jiménez, L. Heisenberg and T.S. Koivisto, The Geometrical Trinity of Gravity , Universe 5
Original
1903
Earlier work this paper cites.
M.J. Guzmán and R. Ferraro, Degrees of freedom and local Lorentz invariance in f (T) gravity , in 15th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories , 3, 2019, DOI [ 1903.06774 ]
Original
1903
Earlier work this paper cites.
Z. Chen, W. Luo, Y.-F. Cai and E.N. Saridakis, New test on general relativity and f ⁡ ( T ) f(T) torsional gravity from galaxy-galaxy weak lensing surveys , Phys. Rev. D 102
Original
1907
Earlier work this paper cites.
S. Sahlu, J. Ntahompagaze, A. Abebe, A. de la Cruz-Dombriz and D.F. Mota, Scalar perturbations in f ⁡ ( T ) f(T) gravity using the 1 + 3 1+3 covariant approach , Eur. Phys. J. C 80
Original
1907
Earlier work this paper cites.
R. Ferraro and F. Fiorini, On Born-Infeld Gravity in Weitzenbock spacetime , Phys. Rev. D 78
Original
1981
Earlier work this paper cites.
P. Teyssandier and P. Tourrenc, The Cauchy problem for the R+R**2 theories of gravity without torsion , J. Math. Phys. 24
1983
Earlier work this paper cites.
T. Chiba, N. Sugiyama and T. Nakamura, Cosmology with x matter , Mon. Not. Roy. Astron. Soc. 289
1997
Earlier work this paper cites.
J.M. Nester and H.-J. Yo, Symmetric teleparallel general relativity , Chin. J. Phys. 37
1999
Earlier work this paper cites.
R. Ferraro and M.J. Guzmán, Pseudoinvariance and the extra degree of freedom in f(T) gravity , Phys. Rev. D 101
Original
2001
Earlier work this paper cites.
C. Armendariz-Picon, V.F. Mukhanov and P.J. Steinhardt, Essentials of k essence , Phys. Rev. D 63
2001
Earlier work this paper cites.
H.I. Arcos and J.G. Pereira, Torsion gravity: A Reappraisal , Int. J. Mod. Phys. D 13
2004
Earlier work this paper cites.
G. Bertone, D. Hooper and J. Silk, Particle dark matter: Evidence, candidates and constraints , Phys. Rept. 405
2005
Earlier work this paper cites.
A. Golovnev and M.-J. Guzmán, Bianchi identities in f ⁡ ( T ) f(T) gravity: Paving the way to confrontation with astrophysics , Phys. Lett. B 810
Original
2006
Earlier work this paper cites.
M. Blagojević and J.M. Nester, Local symmetries and physical degrees of freedom in f ⁡ ( T ) f(T) gravity: a Dirac Hamiltonian constraint analysis , Phys. Rev. D 102
Original
2006
Earlier work this paper cites.
R. Ferraro and F. Fiorini, Modified teleparallel gravity: Inflation without inflaton , Phys. Rev. D 75
2007
Earlier work this paper cites.
J. Beltrán Jiménez and A. Jiménez-Cano, On the strong coupling of Einsteinian Cubic Gravity and its generalisations , JCAP 01
Original
2009
Earlier work this paper cites.
T.P. Sotiriou and V. Faraoni, f(R) Theories Of Gravity , Rev. Mod. Phys. 82
Original
2010
Earlier work this paper cites.
A. De Felice and S. Tsujikawa, f(R) theories , Living Rev. Rel. 13
Original
2010
Earlier work this paper cites.
P. Wu and H.W. Yu, Observational constraints on f ⁡ ( T ) f(T) theory , Phys. Lett. B 693
Original
2010
Earlier work this paper cites.
M. Hashim, W. El Hanafy, A. Golovnev and A.A. El-Zant, Toward a concordance teleparallel cosmology. Part I. Background dynamics , JCAP 07
Original
2010
Earlier work this paper cites.
X. Fu, P. Wu and H. Yu, The growth of matter perturbations in f(T) gravity , Int. J. Mod. Phys. D 20
Original
2011
Earlier work this paper cites.
T. Wang, Static Solutions with Spherical Symmetry in f(T) Theories , Phys. Rev. D 84
Original
2011
Earlier work this paper cites.

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Later among the works it cites.
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