Built on

Manuel Hohmann, Laur Järv, Martin Krššák, and Christian Pfeifer, “Modified teleparallel theories of gravity in symmetric spacetimes,” Phys. Rev. D 100
Original
1901
Earlier work this paper cites.
Jose Beltrán Jiménez, Lavinia Heisenberg, and Tomi S. Koivisto, “The Geometrical Trinity of Gravity,” Universe 5
Original
1903
Earlier work this paper cites.
Sebastian Bahamonde, Konstantinos F. Dialektopoulos, and Jackson Levi Said, “Can Horndeski Theory be recast using Teleparallel Gravity?” Phys. Rev. D100
Original
1904
Earlier work this paper cites.
S.D. Odintsov and V.K. Oikonomou, “Unification of Inflation with Dark Energy in f ⁡ ( R ) f(R) Gravity and Axion Dark Matter,” Phys. Rev. D 99
Original
1905
Earlier work this paper cites.
Aindriú Conroy and Tomi Koivisto, “Parity-Violating Gravity and GW170817 in Non-Riemannian Cosmology,” JCAP 1912
Original
1908
Earlier work this paper cites.
Tomi Koivisto, Manuel Hohmann, and Luca Marzola, “Axiomatic derivation of coincident general relativity and its premetric extension,” Phys. Rev. D103
Original
1909
Earlier work this paper cites.
Jose Beltrán Jiménez, Lavinia Heisenberg, Damianos Iosifidis, Alejandro Jiménez-Cano, and Tomi S. Koivisto, “General teleparallel quadratic gravity,” Phys. Lett. B805
Original
1909
Earlier work this paper cites.
Albert Einstein, “Riemann-Geometrie mit Aufrechterhaltung des Begriffes des Fernparallelismus,” Sitzber. Preuss. Akad. Wiss. 17
1928
Earlier work this paper cites.
Christian Møller, “Conservation Laws and Absolute Parallelism in General Relativity,” K. Dan. Vidensk. Selsk. Mat. Fys. Skr. 1
1961
Earlier work this paper cites.
K. Hayashi and T. Nakano, “Extended translation invariance and associated gauge fields,” Prog. Theor. Phys. 38
1967
Earlier work this paper cites.
Y. M. Cho, “Einstein Lagrangian as the Translational Yang-Mills Lagrangian,” Phys. Rev. D14
1976
Earlier work this paper cites.
R. D. Peccei and Helen R. Quinn, “CP Conservation in the Presence of Instantons,” Phys. Rev. Lett. 38
1977
Earlier work this paper cites.
Kenji Hayashi, “The Gauge Theory of the Translation Group and Underlying Geometry,” Phys. Lett. 69B
1977
Earlier work this paper cites.
Frank Wilczek, “Problem of Strong P P and T T Invariance in the Presence of Instantons,” Phys. Rev. Lett. 40
1978
Earlier work this paper cites.
Steven Weinberg, “A New Light Boson?” Phys. Rev. Lett. 40
1978
Earlier work this paper cites.
Kenji Hayashi and Takeshi Shirafuji, “New General Relativity,” Phys. Rev. D19
1979
Earlier work this paper cites.
Rafael Ferraro and Franco Fiorini, “On Born-Infeld Gravity in Weitzenbock spacetime,” Phys. Rev. D78
Original
1981
Earlier work this paper cites.
Kenji Hayashi and Takeshi Shirafuji, “Addendum to “New General Relativity”,” Phys. Rev. D24
1981
Earlier work this paper cites.
H. T. Nieh and M. L. Yan, “An Identity in Riemann-cartan Geometry,” J. Math. Phys. 23
1982
Earlier work this paper cites.

Similar

Thibault Damour and Gilles Esposito-Farese, “Tensor multiscalar theories of gravitation,” Class. Quant. Grav. 9
1992
Cited alongside, same era.
Friedrich W. Hehl, J. Dermott McCrea, Eckehard W. Mielke, and Yuval Ne’eman, “Metric affine gauge theory of gravity: Field equations, Noether identities, world spinors, and breaking of dilation invariance,” Phys. Rept. 258
1995
Cited alongside, same era.
Soren Holst, “Barbero’s Hamiltonian derived from a generalized Hilbert-Palatini action,” Phys. Rev. D53
1996
Cited alongside, same era.
James M. Nester and Hwei-Jang Yo, “Symmetric teleparallel general relativity,” Chin. J. Phys. 37
1999
Cited alongside, same era.
Friedrich W. Hehl and Yuri N. Obukhov, Foundations of Classical Electrodynamics (Birkhäuser, 2003)
2003
Cited alongside, same era.

Then

Manuel Hohmann, “General cosmological perturbations in teleparallel gravity,” Eur. Phys. J. Plus 136
Original
2011
Later among the works it cites.
J.W. Maluf and F.F. Faria, “Conformally invariant teleparallel theories of gravity,” Phys. Rev. D 85
Original
2012
Later among the works it cites.
Enrico Pajer and Marco Peloso, “A review of Axion Inflation in the era of Planck,” Class. Quant. Grav. 30
Original
2013
Later among the works it cites.
J.W. Maluf, “The teleparallel equivalent of general relativity,” Annalen Phys. 525
Original
2013
Later among the works it cites.
Ruben Aldrovandi and José Geraldo Pereira, Teleparallel Gravity , Vol. 173 (Springer, Dordrecht, 2013)
2013

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2020

Teleparallel axions and cosmology

Hohmann, Manuel, Pfeifer, Christian

Understand

We consider the most general teleparallel theory of gravity whose action is a linear combination of the five scalar invariants which are quadratic in the torsion tensor.

Since two of these invariants possess odd parity, they naturally allow for a coupling to pseudo-scalar fields, thus yielding a Lagrangian which is even under parity transformations.
In analogy to similar fields in gauge theories, we call these pseudo-scalar fields \emph{teleparallel axions}.
For the most general coupling of a single axion field, we derive the cosmological field equations.

Built on

Manuel Hohmann, Laur Järv, Martin Krššák, and Christian Pfeifer, “Modified teleparallel theories of gravity in symmetric spacetimes,” Phys. Rev. D 100
Original
1901
Earlier work this paper cites.
Jose Beltrán Jiménez, Lavinia Heisenberg, and Tomi S. Koivisto, “The Geometrical Trinity of Gravity,” Universe 5
Original
1903
Earlier work this paper cites.
Sebastian Bahamonde, Konstantinos F. Dialektopoulos, and Jackson Levi Said, “Can Horndeski Theory be recast using Teleparallel Gravity?” Phys. Rev. D100
Original
1904
Earlier work this paper cites.
S.D. Odintsov and V.K. Oikonomou, “Unification of Inflation with Dark Energy in f ⁡ ( R ) f(R) Gravity and Axion Dark Matter,” Phys. Rev. D 99
Original
1905
Earlier work this paper cites.
Aindriú Conroy and Tomi Koivisto, “Parity-Violating Gravity and GW170817 in Non-Riemannian Cosmology,” JCAP 1912
Original
1908
Earlier work this paper cites.
Tomi Koivisto, Manuel Hohmann, and Luca Marzola, “Axiomatic derivation of coincident general relativity and its premetric extension,” Phys. Rev. D103
Original
1909
Earlier work this paper cites.
Jose Beltrán Jiménez, Lavinia Heisenberg, Damianos Iosifidis, Alejandro Jiménez-Cano, and Tomi S. Koivisto, “General teleparallel quadratic gravity,” Phys. Lett. B805
Original
1909
Earlier work this paper cites.
Albert Einstein, “Riemann-Geometrie mit Aufrechterhaltung des Begriffes des Fernparallelismus,” Sitzber. Preuss. Akad. Wiss. 17
1928
Earlier work this paper cites.
Christian Møller, “Conservation Laws and Absolute Parallelism in General Relativity,” K. Dan. Vidensk. Selsk. Mat. Fys. Skr. 1
1961
Earlier work this paper cites.
K. Hayashi and T. Nakano, “Extended translation invariance and associated gauge fields,” Prog. Theor. Phys. 38
1967
Earlier work this paper cites.
Y. M. Cho, “Einstein Lagrangian as the Translational Yang-Mills Lagrangian,” Phys. Rev. D14
1976
Earlier work this paper cites.
R. D. Peccei and Helen R. Quinn, “CP Conservation in the Presence of Instantons,” Phys. Rev. Lett. 38
1977
Earlier work this paper cites.
Kenji Hayashi, “The Gauge Theory of the Translation Group and Underlying Geometry,” Phys. Lett. 69B
1977
Earlier work this paper cites.
Frank Wilczek, “Problem of Strong P P and T T Invariance in the Presence of Instantons,” Phys. Rev. Lett. 40
1978
Earlier work this paper cites.
Steven Weinberg, “A New Light Boson?” Phys. Rev. Lett. 40
1978
Earlier work this paper cites.
Kenji Hayashi and Takeshi Shirafuji, “New General Relativity,” Phys. Rev. D19
1979
Earlier work this paper cites.
Rafael Ferraro and Franco Fiorini, “On Born-Infeld Gravity in Weitzenbock spacetime,” Phys. Rev. D78
Original
1981
Earlier work this paper cites.
Kenji Hayashi and Takeshi Shirafuji, “Addendum to “New General Relativity”,” Phys. Rev. D24
1981
Earlier work this paper cites.
H. T. Nieh and M. L. Yan, “An Identity in Riemann-cartan Geometry,” J. Math. Phys. 23
1982
Earlier work this paper cites.

Similar

Thibault Damour and Gilles Esposito-Farese, “Tensor multiscalar theories of gravitation,” Class. Quant. Grav. 9
1992
Cited alongside, same era.
Friedrich W. Hehl, J. Dermott McCrea, Eckehard W. Mielke, and Yuval Ne’eman, “Metric affine gauge theory of gravity: Field equations, Noether identities, world spinors, and breaking of dilation invariance,” Phys. Rept. 258
1995
Cited alongside, same era.
Soren Holst, “Barbero’s Hamiltonian derived from a generalized Hilbert-Palatini action,” Phys. Rev. D53
1996
Cited alongside, same era.
James M. Nester and Hwei-Jang Yo, “Symmetric teleparallel general relativity,” Chin. J. Phys. 37
1999
Cited alongside, same era.
Friedrich W. Hehl and Yuri N. Obukhov, Foundations of Classical Electrodynamics (Birkhäuser, 2003)
2003
Cited alongside, same era.