Fetching the paper…

Reading the bibliography…

2022

Homogeneous and isotropic cosmology in general teleparallel gravity

Heisenberg, Lavinia, Hohmann, Manuel, Kuhn, Simon

Original
PDF
Post on X

Understand

We derive the most general homogeneous and isotropic teleparallel geometries, defined by a metric and a flat, affine connection.

We find that there are five branches of connection solutions, which are connected via several limits, and can further be restricted to the torsion-free and metric-compatible cases.
We apply our results to several classes of general teleparallel gravity theories and derive their cosmological dynamics for all five branches.
Our results show that for large subclasses of these theories the dynamics reduce to that of closely related metric or symmetric teleparallel gravity theories, while for other subclasses up to two new scalar degrees of freedom participate in the cosmological dynamics.

Homogeneous and isotropic cosmology in general teleparallel gravity · Around

Built on

J. B. Jiménez, L. Heisenberg, and T. S. Koivisto, The Geometrical Trinity of Gravity, Universe 5
Original
1903
Earlier work this paper cites.
J. Beltrán Jiménez, L. Heisenberg, T. S. Koivisto, and S. Pekar, Cosmology in f ⁡ ( Q ) f(Q) geometry, Phys. Rev. D 101
Original
1906
Earlier work this paper cites.
J. Beltrán Jiménez, L. Heisenberg, D. Iosifidis, A. Jiménez-Cano, and T. S. Koivisto, General teleparallel quadratic gravity, Phys. Lett. B 805
Original
1909
Earlier work this paper cites.
M. J. Guzmán and R. Ferraro, Degrees of freedom and Hamiltonian formalism for f ⁡ ( T ) f(T) gravity, Int. J. Mod. Phys. A 35
Original
1910
Earlier work this paper cites.
M. Hohmann, Metric-affine Geometries With Spherical Symmetry, Symmetry 12
Original
1912
Earlier work this paper cites.
K. Yano, The Theory of Lie Derivatives and its Applications (North-Holland, Amsterdam, 1957)
1957
Earlier work this paper cites.
A. V. Minkevich and A. S. Garkun, Isotropic cosmology in metric - affine gauge theory of gravity, (1998), arXiv:gr-qc/9805007 [gr-qc]
1998
Earlier work this paper cites.
D. Iosifidis, Cosmological Hyperfluids, Torsion and Non-metricity, Eur. Phys. J. C80
Original
2003
Earlier work this paper cites.

Similar

J. B. Jiménez, A. Golovnev, T. Koivisto, and H. Veermäe, Minkowski space in f ⁡ ( T ) f(T) gravity, Phys. Rev. D 103
Original
2004
Cited alongside, same era.
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
Cited alongside, same era.
M. Hohmann, Complete classification of cosmological teleparallel geometries (2021) p. 2140005, arXiv:2008.12186 [gr-qc]
Original
2008
Cited alongside, same era.
A. Golovnev and M.-J. Guzmán, Foundational issues in f(T) gravity theory, Int. J. Geom. Meth. Mod. Phys. 18
Original
2012
Cited alongside, same era.
A. Golovnev and M.-J. Guzman, Nontrivial Minkowski backgrounds in f ⁡ ( T ) f(T) gravity, Phys. Rev. D 103

Then

E. Di Valentino, O. Mena, S. Pan, L. Visinelli, W. Yang, A. Melchiorri, D. F. Mota, A. G. Riess, and J. Silk, In the realm of the Hubble tension—a review of solutions, Class. Quant. Grav. 38
Original
2021
Later among the works it cites.
E. N. Saridakis et al. (CANTATA), Modified Gravity and Cosmology: An Update by the CANTATA Network, (2021), arXiv:2105.12582 [gr-qc]
Original
2021
Later among the works it cites.
C. G. Boehmer and E. Jensko, Modified gravity: A unified approach, Phys. Rev. D 104
Original
2021
Later among the works it cites.
J. Beltrán Jiménez and T. S. Koivisto, Accidental gauge symmetries of Minkowski spacetime in Teleparallel theories, Universe 7
Original
2021
Later among the works it cites.
F. D’Ambrosio, L. Heisenberg, and S. Kuhn, Revisiting Cosmologies in Teleparallelism, (2021), arXiv:2109.04209 [gr-qc]

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.

M. Hohmann, Scalar-torsion theories of gravity III: analogue of scalar-tensor gravity and conformal invariants, Phys. Rev. D 98

2018

Cited alongside, same era.

L. Heisenberg, A systematic approach to generalisations of General Relativity and their cosmological implications, Phys. Rept. 796

2019

Cited alongside, same era.

N. Aghanim et al. (Planck), Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641

2021

Cited alongside, same era.

M. Hohmann, General covariant symmetric teleparallel cosmology, Phys. Rev. D 104

Cited in the paper.

M. Hohmann, Variational Principles in Teleparallel Gravity Theories, Universe 7

Cited in the paper.

A. Golovnev and T. Koivisto, Cosmological perturbations in modified teleparallel gravity models, JCAP 11

Cited in the paper.

2021

Later among the works it cites.

J. Beltrán Jiménez and T. S. Koivisto, Noether charges in the geometrical trinity of gravity, Phys. Rev. D 105

2022

Closest in time.

M. Hohmann, Teleparallel gravity, (2022), arXiv:2207.06438 [gr-qc]

2022

Closest in time.

S. Bahamonde, K. F. Dialektopoulos, M. Hohmann, J. Levi Said, C. Pfeifer, and E. N. Saridakis, Perturbations in Non-Flat Cosmology for f ⁡ ( T ) f(T) gravity, (2022), arXiv:2203.00619 [gr-qc]

2022

Closest in time.