Built on

Manuel Hohmann, Laur Järv, Martin Krššák, and Christian Pfeifer, “Modified teleparallel theories of gravity in symmetric spacetimes,” Phys. Rev. D100
Original
1901
Earlier work this paper cites.
Tiberiu Harko, Tomi S. Koivisto, Gonzalo J. Olmo, Francisco S. N. Lobo, and Rubiera-Garcia Diego, “Novel couplings between nonmetricity and matter,” in 15th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories (MG15) Rome, Italy, July 1-7, 2018 (2019) arXiv:1901.00805 [gr-qc]
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.
Jose Beltrán Jiménez, Lavinia Heisenberg, and Tomi S. Koivisto, “The canonical frame of purified gravity,” Int. J. Mod. Phys. D28
Original
1903
Earlier work this paper cites.
Jose Beltrán Jiménez, Lavinia Heisenberg, Tomi Sebastian Koivisto, and Simon Pekar, “Cosmology in f ⁡ ( Q ) f(Q) geometry,” Phys. Rev. D 101
Original
1906
Earlier work this paper cites.
Jianbo Lu, Xin Zhao, and Guoying Chee, “Cosmology in symmetric teleparallel gravity and its dynamical system,” Eur. Phys. J. C 79
Original
1906
Earlier work this paper cites.
Ruth Lazkoz, Francisco S. N. Lobo, María Ortiz-Baños, and Vincenzo Salzano, “Observational constraints of f ⁡ ( Q ) f(Q) gravity,” Phys. Rev. D 100
Original
1907
Earlier work this paper cites.
Yixin Xu, Guangjie Li, Tiberiu Harko, and Shi-Dong Liang, “ f ⁡ ( Q , T ) f(Q,T) gravity,” Eur. Phys. J. C 79
Original
1908
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. B 805
Original
1909
Earlier work this paper cites.
Tomi Koivisto, Manuel Hohmann, and Luca Marzola, “Axiomatic derivation of coincident general relativity and its premetric extension,” Phys. Rev. D 103
Original
1909
Earlier work this paper cites.
Manuel Hohmann, “Metric-affine Geometries With Spherical Symmetry,” Symmetry 12
Original
1912
Earlier work this paper cites.
Kentaro Yano, The Theory of Lie Derivatives and its Applications (North-Holland, Amsterdam, 1957)
1957
Earlier work this paper cites.
James M. Nester and Hwei-Jang Yo, “Symmetric teleparallel general relativity,” Chin. J. Phys. 37
1999
Earlier work this paper cites.
Damianos Iosifidis, “Cosmological Hyperfluids, Torsion and Non-metricity,” Eur. Phys. J. C80
Original
2003
Earlier work this paper cites.
Bruno J. Barros, Tiago Barreiro, Tomi Koivisto, and Nelson J. Nunes, “Testing F ⁡ ( Q ) F(Q) gravity with redshift space distortions,” Phys. Dark Univ. 30
Original
2004
Earlier work this paper cites.
Jose Beltrán Jiménez, Alexey Golovnev, Tomi Koivisto, and Hardi Veermäe, “Minkowski space in f ⁡ ( T ) f(T) gravity,” Phys. Rev. D 103
Original
2004
Earlier work this paper cites.
Yixin Xu, Tiberiu Harko, Shahab Shahidi, and Shi-Dong Liang, “Weyl type f ⁡ ( Q , T ) f(Q,T) gravity, and its cosmological implications,” Eur. Phys. J. C 80
Original
2005
Earlier work this paper cites.
Muzaffer Adak, M. Kalay, and Ozcan Sert, “Lagrange formulation of the symmetric teleparallel gravity,” Int. J. Mod. Phys. D15
2006
Earlier work this paper cites.
Fabio D’Ambrosio, Mudit Garg, Lavinia Heisenberg, and Stefan Zentarra, “ADM formulation and Hamiltonian analysis of Coincident General Relativity,” (2020), arXiv:2007.03261 [gr-qc]
Original
2007
Earlier work this paper cites.
Mingzhe Li, Haomin Rao, and Dehao Zhao, “A simple parity violating gravity model without ghost instability,” JCAP 11
Original
2007
Earlier work this paper cites.
Simran Arora, S. K. J. Pacif, Snehasish Bhattacharjee, and P. K. Sahoo, “ f ⁡ ( Q , T ) f(Q,T) gravity models with observational constraints,” Phys. Dark Univ. 30
Original
2007
Earlier work this paper cites.
Manuel Hohmann, “Complete classification of cosmological teleparallel geometries,” (2021) p. 2140005, arXiv:2008.12186 [gr-qc]
Original
2008
Earlier work this paper cites.
Anirudh Pradhan and Archana Dixit, “Transit cosmological models with observational constraints in f(Q, T) gravity,” (2020), arXiv:2009.08290 [physics.gen-ph]
Original
2009
Earlier work this paper cites.

Similar

Simran Arora, J. R. L. Santos, and P. K. Sahoo, “Constraining f ⁡ ( Q , T ) f(Q,T) gravity from energy conditions,” Phys. Dark Univ. 31
Original
2009
Cited alongside, same era.
Simran Arora and P. K. Sahoo, “Energy conditions in f ⁡ ( Q , T ) f(Q,T) gravity,” Phys. Scripta 95
Original
2010
Cited alongside, same era.
Francesco Bajardi, Daniele Vernieri, and Salvatore Capozziello, “Bouncing Cosmology in f(Q) Symmetric Teleparallel Gravity,” Eur. Phys. J. Plus 135
Original
2011
Cited alongside, same era.
Sanjay Mandal, Deng Wang, and P. K. Sahoo, “Cosmography in f ⁡ ( Q ) f(Q) gravity,” Phys. Rev. D 102
Original
2011
Cited alongside, same era.
Kai Flathmann and Manuel Hohmann, “Post-Newtonian limit of generalized symmetric teleparallel gravity,” Phys. Rev. D103

Then

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2021

General covariant symmetric teleparallel cosmology

Hohmann, Manuel

Understand

Symmetric teleparallel gravity theories, in which the gravitational interaction is attributed to the nonmetricity of a flat, symmetric, but not metric-compatible affine connection, have been a topic of growing interest in recent studies.

Numerous works study the cosmology of symmetric teleparallel gravity assuming a flat Friedmann-Lema\^itre-Robertson-Walker metric, while working in the so-called "coincident gauge", further assuming that the connection coefficients vanish.
However, little attention has been paid to the fact that both of these assumptions rely on the freedom to choose a particular coordinate system in order to simplify the metric or the connection, and that they may, in general, not be achieved simultaneously.
Here we construct the most general symmetric teleparallel geometry obeying the conditions of homogeneity and isotropy, without making any assumptions on the properties of the coordinates, and present our results in both the usual cosmological coordinates and in the coincident gauge.

Built on

Manuel Hohmann, Laur Järv, Martin Krššák, and Christian Pfeifer, “Modified teleparallel theories of gravity in symmetric spacetimes,” Phys. Rev. D100
Original
1901
Earlier work this paper cites.
Tiberiu Harko, Tomi S. Koivisto, Gonzalo J. Olmo, Francisco S. N. Lobo, and Rubiera-Garcia Diego, “Novel couplings between nonmetricity and matter,” in 15th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories (MG15) Rome, Italy, July 1-7, 2018 (2019) arXiv:1901.00805 [gr-qc]
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.
Jose Beltrán Jiménez, Lavinia Heisenberg, and Tomi S. Koivisto, “The canonical frame of purified gravity,” Int. J. Mod. Phys. D28
Original
1903
Earlier work this paper cites.
Jose Beltrán Jiménez, Lavinia Heisenberg, Tomi Sebastian Koivisto, and Simon Pekar, “Cosmology in f ⁡ ( Q ) f(Q) geometry,” Phys. Rev. D 101
Original
1906
Earlier work this paper cites.
Jianbo Lu, Xin Zhao, and Guoying Chee, “Cosmology in symmetric teleparallel gravity and its dynamical system,” Eur. Phys. J. C 79
Original
1906
Earlier work this paper cites.
Ruth Lazkoz, Francisco S. N. Lobo, María Ortiz-Baños, and Vincenzo Salzano, “Observational constraints of f ⁡ ( Q ) f(Q) gravity,” Phys. Rev. D 100
Original
1907
Earlier work this paper cites.
Yixin Xu, Guangjie Li, Tiberiu Harko, and Shi-Dong Liang, “ f ⁡ ( Q , T ) f(Q,T) gravity,” Eur. Phys. J. C 79
Original
1908
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. B 805
Original
1909
Earlier work this paper cites.
Tomi Koivisto, Manuel Hohmann, and Luca Marzola, “Axiomatic derivation of coincident general relativity and its premetric extension,” Phys. Rev. D 103
Original
1909
Earlier work this paper cites.
Manuel Hohmann, “Metric-affine Geometries With Spherical Symmetry,” Symmetry 12
Original
1912
Earlier work this paper cites.
Kentaro Yano, The Theory of Lie Derivatives and its Applications (North-Holland, Amsterdam, 1957)
1957
Earlier work this paper cites.
James M. Nester and Hwei-Jang Yo, “Symmetric teleparallel general relativity,” Chin. J. Phys. 37
1999
Earlier work this paper cites.
Damianos Iosifidis, “Cosmological Hyperfluids, Torsion and Non-metricity,” Eur. Phys. J. C80
Original
2003
Earlier work this paper cites.
Bruno J. Barros, Tiago Barreiro, Tomi Koivisto, and Nelson J. Nunes, “Testing F ⁡ ( Q ) F(Q) gravity with redshift space distortions,” Phys. Dark Univ. 30
Original
2004
Earlier work this paper cites.
Jose Beltrán Jiménez, Alexey Golovnev, Tomi Koivisto, and Hardi Veermäe, “Minkowski space in f ⁡ ( T ) f(T) gravity,” Phys. Rev. D 103
Original
2004
Earlier work this paper cites.
Yixin Xu, Tiberiu Harko, Shahab Shahidi, and Shi-Dong Liang, “Weyl type f ⁡ ( Q , T ) f(Q,T) gravity, and its cosmological implications,” Eur. Phys. J. C 80
Original
2005
Earlier work this paper cites.
Muzaffer Adak, M. Kalay, and Ozcan Sert, “Lagrange formulation of the symmetric teleparallel gravity,” Int. J. Mod. Phys. D15
2006
Earlier work this paper cites.
Fabio D’Ambrosio, Mudit Garg, Lavinia Heisenberg, and Stefan Zentarra, “ADM formulation and Hamiltonian analysis of Coincident General Relativity,” (2020), arXiv:2007.03261 [gr-qc]
Original
2007
Earlier work this paper cites.
Mingzhe Li, Haomin Rao, and Dehao Zhao, “A simple parity violating gravity model without ghost instability,” JCAP 11
Original
2007
Earlier work this paper cites.
Simran Arora, S. K. J. Pacif, Snehasish Bhattacharjee, and P. K. Sahoo, “ f ⁡ ( Q , T ) f(Q,T) gravity models with observational constraints,” Phys. Dark Univ. 30
Original
2007
Earlier work this paper cites.
Manuel Hohmann, “Complete classification of cosmological teleparallel geometries,” (2021) p. 2140005, arXiv:2008.12186 [gr-qc]
Original
2008
Earlier work this paper cites.
Anirudh Pradhan and Archana Dixit, “Transit cosmological models with observational constraints in f(Q, T) gravity,” (2020), arXiv:2009.08290 [physics.gen-ph]
Original
2009
Earlier work this paper cites.

Similar

Simran Arora, J. R. L. Santos, and P. K. Sahoo, “Constraining f ⁡ ( Q , T ) f(Q,T) gravity from energy conditions,” Phys. Dark Univ. 31
Original
2009
Cited alongside, same era.
Simran Arora and P. K. Sahoo, “Energy conditions in f ⁡ ( Q , T ) f(Q,T) gravity,” Phys. Scripta 95
Original
2010
Cited alongside, same era.
Francesco Bajardi, Daniele Vernieri, and Salvatore Capozziello, “Bouncing Cosmology in f(Q) Symmetric Teleparallel Gravity,” Eur. Phys. J. Plus 135
Original
2011
Cited alongside, same era.
Sanjay Mandal, Deng Wang, and P. K. Sahoo, “Cosmography in f ⁡ ( Q ) f(Q) gravity,” Phys. Rev. D 102
Original
2011
Cited alongside, same era.
Kai Flathmann and Manuel Hohmann, “Post-Newtonian limit of generalized symmetric teleparallel gravity,” Phys. Rev. D103

Then

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2012

Cited alongside, same era.

Ismael Ayuso, Ruth Lazkoz, and Vincenzo Salzano, “Observational constraints on cosmological solutions of f ⁡ ( Q ) f(Q) theories,” Phys. Rev. D 103

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2012

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Manuel Hohmann and Christian Pfeifer, “Teleparallel axions and cosmology,” Eur. Phys. J. C81

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2012

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Alexey Golovnev and Maria-Jose Guzman, “Nontrivial Minkowski backgrounds in f ⁡ ( T ) f(T) gravity,” Phys. Rev. D 103

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2013

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2016

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Fabrizio Esposito, Sante Carloni, Roberto Cianci, and Stefano Vignolo, “Recontructing isotropic and anisotropic f ⁡ ( 𝒬 ) f(\mathcal{Q}) cosmologies,” (2021), arXiv:2107.14522 [gr-qc]

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