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

Abstract

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 non-metricity 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 Montecarlo 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) $\Lambda$CDM 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 $\Lambda$CDM.

15 pages, 13 figures

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• Forecasting F(Q) cosmology with $\Lambda$CDM background using standard sirens
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• The Galactic Center as a laboratory for theories of gravity and dark matter
• Symmetric Teleparallel Horndeski Gravity
• The Reconstruction of Constant Jerk Parameter with $f(R,T)$ Gravity
• Modelling the Accelerating Universe with $f(Q)$ Gravity: Observational Consistency
• Testing $\Lambda$-Free f(Q) Cosmology
• $f(Q)$-gravity and neutrino physics
• Nonmetricity theories and aspects of gauge symmetry
• On the safe use of prior densities for Bayesian model selection
• Observational test for $f(Q)$ gravity with weak gravitational lensing
• Gaussian Process Approach for Model-Independent Reconstruction of $f(Q)$ Gravity with Direct Hubble Measurements
• Exploring the stability of $f(Q)$ cosmology near general relativity limit with different connections
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• Cosmographic analysis of sign-switching dark energy
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• Statistical and Observation Comparison of Weyl-Type $f(Q,T)$ Models with the $\Lambda$CDM Paradigm
• Cosmological implications of non-minimally coupled f(Q) gravity
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• Cosmological dynamics of interacting dark energy and dark matter in $f(Q)$ gravity
• Polytropic Stars in $f(Q)=Q+\xi Q^2$ covariant formulation
• Vulnerability of f(Q) gravity theory and a possible resolution
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• Generalized Hidden Conformal Symmetry in Quadratic $f(T)$ Gravity
• New Rotating Black Hole Solutions With Imperfect Fluid Energy-Momentum Tensor In $f(R)$ Gravity
• Exact Analytical Taub-NUT like Solution in f(T) Gravity
• A note on the area under the likelihood and the fake evidence for model selection
• Metric-Affine Myrzakulov Gravity Theories
• New Lorentzian Taub-NUT and Euclidean Eguchi-Hanson Solutions in $f(R)$ gravity
• Insights in $f(Q)$ cosmology: the relevance of the connection