Observational constraints on cosmological solutions of $f(Q)$ theories - INSPIRE

DataBETA

Observational constraints on cosmological solutions of $f(Q)$ theories

Ismael Ayuso
(
- Lisbon U. and
- Lisbon U., CAAUL
)
,
Ruth Lazkoz
(
- Basque U., Bilbao
)
,
Vincenzo Salzano
(
- Szczecin U.
)

Nov 30, 2020

15 pages

Published in:

Phys.Rev.D 103 (2021) 6, 063505

Published: Mar 8, 2021

e-Print:

2012.00046 [astro-ph.CO]

DOI:

10.1103/PhysRevD.103.063505

View in:

reference search146 citations

Citations per year

Abstract: (APS)

Over the last years some interest has been gathered by f(Q) theories, which are new candidates to replace Einstein’s prescription for gravity. The nonmetricity tensor Q allows to put forward the assumption of a free torsionless connection and, consequently, new degrees of freedom in the action are taken into account. This work focuses on a class of f(Q) theories, characterized by the presence of a general power-law term which adds up to the standard (linear in) Q term in the action, and on new cosmological scenarios arising from them. Using the Markov chain Monte Carlo method, we carry out statistical tests relying upon background data such as Type Ia supernovae luminosities and direct Hubble data (from cosmic clocks), along with cosmic microwave background shift and baryon acoustic oscillations data. This allows us to perform a multifaceted comparison between these new cosmologies and the (concordance) ΛCDM setup. We conclude that, at the current precision level, the best fits of our f(Q) models correspond to values of their specific parameters which make them hardly distinguishable from our general relativity “échantillon,” that is, ΛCDM.

Note:

15 pages, 13 figures

Cosmology
gravitation: model
Einstein
torsion
cosmological model: parameter space
constraint
gravitation: action
Monte Carlo: Markov chain
statistical analysis
background

References(68)

Figures(13)

[1]

The Field Equations of Gravitation

Albert Einstein

- Sitzungsber.Preuss.Akad.Wiss.Berlin (Math.Phys.) 1915 (1915) 844-847

[2]

Zur Allgemeinen Relativitätstheorie

Albert Einstein

- Sitzungsber.Preuss.Akad.Wiss.Berlin (Math.Phys.) 1915 (1915) 778-786,
- Sitzungsber.Preuss.Akad.Wiss.Berlin (Math.Phys.) 1915 (1915) 799-801 (addendum)

[2]

A. Einstein

- Sitzungsber.Preuss.Akad.Wiss.Berlin (Math.Phys.) 1915 (1915) 799(A)

[3]

The Confrontation between General Relativity and Experiment

Clifford M. Will
(
- Florida U.
)

- Living Rev.Rel. 17 (2014) 4
•
e-Print:
- 1403.7377
•
DOI:
- 10.12942/lrr-2014-4

[4]

Testing General Relativity with Present and Future Astrophysical Observations

Emanuele Berti
(
- Mississippi U. and
- Lisbon, CENTRA
)
,
Enrico Barausse
(
- Paris, Inst. Astrophys. and
- Paris U., VI-VII
)
,
Vitor Cardoso
(
- Lisbon, IST and
- Perimeter Inst. Theor. Phys. and
- Lisbon, CENTRA
)
,
Leonardo Gualtieri
(
- Rome U. and
- INFN, Rome
)
,
Paolo Pani
(
- Rome U. and
- INFN, Rome and
- Lisbon, IST and
- Lisbon, CENTRA
)

et al.

- Class.Quant.Grav. 32 (2015) 243001
•
e-Print:
- 1501.07274
•
DOI:
- 10.1088/0264-9381/32/24/243001

[5]

The Cosmological constant

Sean M. Carroll
(
- Chicago U., EFI
)

- Living Rev.Rel. 4 (2001) 1
•
e-Print:
- astro-ph/0004075
•
DOI:
- 10.12942/lrr-2001-1

[6]

The Cosmological Constant and Dark Energy

P.J.E. Peebles
(
- Princeton U.
)
,
Bharat Ratra
(
- Kansas State U.
)

- Rev.Mod.Phys. 75 (2003) 559-606,
•
e-Print:
- astro-ph/0207347
•
DOI:
- 10.1103/RevModPhys.75.559

[7]

The Cosmological Constant Problem

Steven Weinberg
(
- Texas U.
)

- Rev.Mod.Phys. 61 (1989) 1-23,
•
DOI:
- 10.1103/RevModPhys.61.1

[8]

Cosmological constant: The Weight of the vacuum

T. Padmanabhan
(
- IUCAA, Pune
)

- Phys.Rept. 380 (2003) 235-320
•
e-Print:
- hep-th/0212290
•
DOI:
- 10.1016/S0370-1573(03)00120-0

[9]

Why is the universe accelerating?

Sean M. Carroll
(
- Chicago U., EFI and
- Chicago U., KICP and
- Santa Barbara, KITP
)

- eConf C0307282 (2003) TTH09,
- AIP Conf.Proc. 743 (2004) 1, 16-32
•
e-Print:
- astro-ph/0310342
•
DOI:
- 10.1063/1.1848314

[9]

Why is the universe accelerating?

Sean M. Carroll
(
- Chicago U., EFI and
- Chicago U., KICP and
- Santa Barbara, KITP
)

- eConf C0307282 (2003) TTH09,
- AIP Conf.Proc. 743 (2004) 1, 16-32
•
e-Print:
- astro-ph/0310342
•
DOI:
- 10.1063/1.1848314

[10]

Why all these prejudices against a constant?

e-Print:
- 1002.3966

[11]

Beyond $\Lambda$ CDM: Problems, solutions, and the road ahead

Philip Bull
(
- Caltech and
- Oslo U.
)
,
Yashar Akrami
(
- Heidelberg U. and
- Oslo U.
)
,
Julian Adamek
(
- Montpellier U.
)
,
Tessa Baker
(
- Oxford U.
)
,
Emilio Bellini
(
- Barcelona, IEEC
)

et al.

- Phys.Dark Univ. 12 (2016) 56-99
•
e-Print:
- 1512.05356
•
DOI:
- 10.1016/j.dark.2016.02.001

[12]

Curvature quintessence

Salvatore Capozziello
(
- INFN, Naples and
- Salerno U.
)

- Int.J.Mod.Phys.D 11 (2002) 483-492
•
e-Print:
- gr-qc/0201033
•
DOI:
- 10.1142/S0218271802002025

[13]

Modified Gravity and Cosmology

Timothy Clifton
(
- Oxford U.
)
,
Pedro G. Ferreira
(
- Oxford U.
)
,
Antonio Padilla
(
- Nottingham U.
)
,
Constantinos Skordis
(
- Nottingham U.
)

- Phys.Rept. 513 (2012) 1-189
•
e-Print:
- 1106.2476
•
DOI:
- 10.1016/j.physrep.2012.01.001

[14]

Beyond the Cosmological Standard Model

Austin Joyce
(
- Chicago U., EFI and
- Chicago U., KICP and
- Pennsylvania U.
)
,
Bhuvnesh Jain
(
- Pennsylvania U.
)
,
Justin Khoury
(
- Pennsylvania U.
)
,
Mark Trodden
(
- Pennsylvania U.
)

- Phys.Rept. 568 (2015) 1-98
•
e-Print:
- 1407.0059
•
DOI:
- 10.1016/j.physrep.2014.12.002

[15]

Extensions of f(R) Gravity

T. Harko
,
F.S.N. Lobo

[16]

Extended Theories of Gravity and their Cosmological and Astrophysical Applications

Salvatore Capozziello
(
- Naples U. and
- INFN, Naples
)
,
Mauro Francaviglia
(
- Turin U., Math Dept. and
- INFN, Turin
)

- Gen.Rel.Grav. 40 (2008) 357-420
•
e-Print:
- 0706.1146
•
DOI:
- 10.1007/s10714-007-0551-y

[17]

Metric-affine f(R) theories of gravity

Thomas P. Sotiriou
(
- SISSA, Trieste and
- INFN, Trieste
)
,
Stefano Liberati
(
- SISSA, Trieste and
- INFN, Trieste
)

- Annals Phys. 322 (2007) 935-966
•
e-Print:
- gr-qc/0604006
•
DOI:
- 10.1016/j.aop.2006.06.002

[18]

The Geometrical Trinity of Gravity

Jose Beltrán Jiménez
(
- Salamanca U., IUFFyM and
- Salamanca U.
)
,
Lavinia Heisenberg
(
- Zurich, ETH
)
,
Tomi S. Koivisto
(
- Nordita and
- Royal Inst. Tech., Stockholm and
- NICPB, Tallinn
)

- Universe 5 (2019) 7, 173
•
e-Print:
- 1903.06830
•
DOI:
- 10.3390/universe5070173

[19]

General teleparallel quadratic gravity

- Phys.Lett.B 805 (2020) 135422
•
e-Print:
- 1909.09045
•
DOI:
- 10.1016/j.physletb.2020.135422

[20]

The Non-Metricity Formulation of General Relativity

Igor Mol

- Adv.Appl.Clifford Algebras 27 (2017) 3, 2607-2638
•
e-Print:
- 1406.0737
•
DOI:
- 10.1007/s00006-016-0749-8

[21]

Cosmology in $f(Q)$ geometry

Jose Beltrán Jiménez
(
- Salamanca U., IUFFyM
)
,
Lavinia Heisenberg
(
- Zurich, ETH
)
,
Tomi Sebastian Koivisto
(
- Tartu U. and
- Stockholm U. and
- NICPB, Tallinn
)
,
Simon Pekar
(
- Zurich, ETH
)

- Phys.Rev.D 101 (2020) 10, 103507
•
e-Print:
- 1906.10027
•
DOI:
- 10.1103/PhysRevD.101.103507

[22]

Metric affine gauge theory of gravity: Field equations, Noether identities, world spinors, and breaking of dilation invariance

Friedrich W. Hehl
(
- Cologne U.
)
,
J.Dermott McCrea
(
- University Coll., Dublin and
- Dublin Inst.
)
,
Eckehard W. Mielke
(
- Cologne U.
)
,
Yuval Ne'eman
(
- Tel Aviv U. and
- Texas U.
)

- Phys.Rept. 258 (1995) 1-171
•
e-Print:
- gr-qc/9402012
•
DOI:
- 10.1016/0370-1573(94)00111-F

[23]

Nonmetricity formulation of general relativity and its scalar-tensor extension

Laur Järv
(
- Tartu, Inst. Phys.
)
,
Mihkel Rünkla
(
- Tartu, Inst. Phys.
)
,
Margus Saal
(
- Tartu, Inst. Phys.
)
,
Ott Vilson
(
- Tartu, Inst. Phys.
)

- Phys.Rev.D 97 (2018) 12, 124025
•
e-Print:
- 1802.00492
•
DOI:
- 10.1103/PhysRevD.97.124025

1-25 of 68
1
2
3
25 / page