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2021

Revisiting Cosmologies in Teleparallelism

D'Ambrosio, Fabio, Heisenberg, Lavinia, Kuhn, Simon

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We discuss the most general field equations for cosmological spacetimes for theories of gravity based on non-linear extensions of the non-metricity scalar and the torsion scalar.

Our approach is based on a systematic symmetry-reduction of the metric-affine geometry which underlies these theories.
While for the simplest conceivable case the connection disappears from the field equations and one obtains the Friedmann equations of General Relativity, we show that in $f(\mathbb{Q})$ cosmology the connection generically modifies the metric field equations and that some of the connection components become dynamical.
We show that $f(\mathbb{Q})$ cosmology contains the exact General Relativity solutions and also exact solutions which go beyond.

Revisiting Cosmologies in Teleparallelism · Around

Built on

M. Hohmann, L. Järv, M. Krššák, and C. Pfeifer, “Modified teleparallel theories of gravity in symmetric spacetimes,” Phys. Rev. D
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1901
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J. B. Jiménez, L. Heisenberg, and T. S. Koivisto, “The Geometrical Trinity of Gravity,” Universe
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1903
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J. Beltrán Jiménez, L. Heisenberg, T. S. Koivisto, and S. Pekar, “Cosmology in f ⁡ ( Q ) f(Q) geometry,” Phys. Rev. D
Original
1906
Earlier work this paper cites.
M. Hohmann, “Metric-affine Geometries With Spherical Symmetry,” Symmetry
Original
1912
Earlier work this paper cites.

Similar

B. J. Barros, T. Barreiro, T. Koivisto, and N. J. Nunes, “Testing F ⁡ ( Q ) F(Q) gravity with redshift space distortions,” Phys. Dark Univ
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2004
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S. Mandal, D. Wang, and P. K. Sahoo, “Cosmography in f ⁡ ( Q ) f(Q) gravity,” Phys. Rev. D
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2011
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M. Hohmann, “General cosmological perturbations in teleparallel gravity,” Eur. Phys. J. Plus
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2011
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I. Ayuso, R. Lazkoz, and V. Salzano, “Observational constraints on cosmological solutions of f ⁡ ( Q ) f(Q) theories,” Phys. Rev. D
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2012
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F. K. Anagnostopoulos, S. Basilakos, and E. N. Saridakis, “First evidence that non-metricity f(Q) gravity could challenge Λ \Lambda CDM,” arXiv:2104.15123 [gr-qc]
Original
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S. Arora, S. K. J. Pacif, A. Parida, and P. K. Sahoo, “Bulk viscous matter and the cosmic acceleration of the universe in f ⁡ ( Q , T ) f(Q,T) gravity,” arXiv:2106.00491 [gr-qc]
Original
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S. Bahamonde, K. F. Dialektopoulos, C. Escamilla-Rivera, G. Farrugia, V. Gakis, M. Hendry, M. Hohmann, J. L. Said, J. Mifsud, and E. Di Valentino, “Teleparallel Gravity: From Theory to Cosmology,” arXiv:2106.13793 [gr-qc]
Original
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F. Esposito, S. Carloni, R. Cianci, and S. Vignolo, “Recontructing isotropic and anisotropic f ⁡ ( 𝒬 ) f(\mathcal{Q}) cosmologies,” arXiv:2107.14522 [gr-qc]
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N. Dimakis, A. Paliathanasis, and T. Christodoulakis, “Quantum Cosmology in f ⁡ ( Q ) f(Q) theory,” arXiv:2108.01970 [gr-qc]
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L. Atayde and N. Frusciante, “Can f ⁡ ( Q ) f(Q) -gravity challenge Λ \Lambda CDM?,” arXiv:2108.10832 [astro-ph.CO]
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Cited in the paper.
M. Hohmann, “General covariant symmetric teleparallel cosmology,” arXiv:2109.01525 [gr-qc]
Original
Cited in the paper.
F. D’Ambrosio, S. D. B. Fell, L. Heisenberg, and S. Kuhn, “Black holes in f ⁡ ( ℚ ) f(\mathbb{Q}) Gravity,” arXiv:2109.03174 [gr-qc]
Original
Cited in the paper.

Then

J. Beltrán Jiménez, L. Heisenberg, and T. Koivisto, “Coincident General Relativity,” Phys. Rev. D
Original
2018
Later among the works it cites.
J. Beltrán Jiménez, L. Heisenberg, and T. S. Koivisto, “Teleparallel Palatini theories,” JCAP
Original
2018
Later among the works it cites.
L. Heisenberg, “A systematic approach to generalisations of General Relativity and their cosmological implications,” Phys. Rept
Original
2019
Later among the works it cites.
N. Frusciante, “Signatures of f ⁡ ( Q ) f(Q) -gravity in cosmology,” Phys. Rev. D
Original
2021
Closest in time.

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