Cosmological observational constraints on the power law $f(Q)$ type modified gravity theory

Abstract

In modern cosmology, the curiosity of ultimately understanding the nature of the dark energy controlling the recent acceleration of the Universe motivates us to explore its properties by using some novel approaches. In this work, to explore the properties of dark energy we adopt the modified $f(Q)$ gravity theory, where the non-metricity scalar $Q$, emerging from Weyl geometry, plays the dynamical role. For the function $f(Q)$ we adopt the functional form $f(Q)=Q+6\gamma H_0^2(Q/Q_0{)}^n$, where $n,\gamma ,H_0$ and $Q_0$ are constants. Then, we test our constructed model against the various observational datasets, such as the Hubble, and the Pantheon+SHOES samples, and their combined sample, through the Markov Chain Monte Carlo (MCMC) statistical analysis. We also employ the parameter estimation technique to constrain the free parameters of the model. In addition, we use the constrained values of the model parameters to explore a few implications of the cosmological model. A detailed comparison of the predictions of our model with the $\Lambda$CDM model is also performed. In particular, we discuss in detail some cosmographic parameters, like the deceleration, the jerk, and the snap parameters, as well as the behavior of the dark energy and matter energy densities to see the evolution of various energy/matter profiles. The $Om$ diagnostics is also presented to test the dark energy nature of our model, as compared to the standard $\Lambda$CDM paradigm. Our findings show that the considered version of the non-metric $f(Q)$ type modified gravity theory, despite some differences with respect to the $\Lambda$CDM paradigm, can still explain the current observational results on the cosmological parameters, and provide a convincing and consistent account for the accelerating expansion of the Universe.

arXiv commentEPJC published version

References in corpus (63)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Cosmological Imprint of an Energy Component with General Equation of State
• f(R,T) gravity
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• Exploring the Expansion History of the Universe
• In the Realm of the Hubble tension $-$ a Review of Solutions
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Curvature Quintessence
• Disappearing cosmological constant in f(R) gravity
• Covariant Galileon
• Information criteria for astrophysical model selection
• Extra force in $f(R)$ modified theories of gravity
• Coincident General Relativity
• The Pantheon+ Analysis: The Full Dataset and Light-Curve Release
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Dark Energy
• Brane-world gravity
• Two new diagnostics of dark energy
• Can dark energy evolve to the Phantom?
• f(R,L_m) gravity
• Cosmology in $f(Q)$ geometry
• Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?
• $f(Q,T)$ gravity
• Observational constraints of $f(Q)$ gravity
• Construction of cosmologically viable f(G) gravity models
• Coupling matter in modified $Q$-gravity
• Cosmological solutions and growth index of matter perturbations in $f(Q)$ gravity
• First evidence that non-metricity f(Q) gravity could challenge $\Lambda$CDM
• Consequences of dark matter-dark energy interaction on cosmological parameters derived from SNIa data
• Energy Conditions in $f(Q)$ gravity
• Signatures of $f(Q)$-gravity in cosmology
• A new cosmological tracker solution for Quintessence
• Bianchi type III models with anisotropic dark energy
• Accelerated Expansion of the Universe in Non-minimally Coupled Gravity
• Cosmography in $f(Q)$ gravity
• Interacting Dark Energy -- constraints and degeneracies
• Weyl type $f(Q,T)$ gravity, and its cosmological implications
• Spherically symmetric configuration in $f(Q)$ gravity
• Does Inflationary Particle Production suggest Omega_m < 1?
• New models and Big Bang Nucleosynthesis constraints in $f(Q)$ gravity
• Observational constraints on two cosmological models of $f(Q)$ theory
• Bayesian analysis of $f(T)$ gravity using $f{\sigma }_8$ data
• Geodesic deviation, Raychaudhuri equation, Newtonian limit, and tidal forces in Weyl-type $f(Q,T)$ gravity
• Cosmology in cubic and $f(P)$ gravity
• Weyl-Cartan-Weitzenböck gravity as a generalization of teleparallel gravity
• Non-minimal quintessence and phantom with nearly flat potentials
• Updated constraints on $f(T)$ models using direct and indirect measurements of the Hubble parameter
• Model-Independent Constraints on Lorentz Invariance Violation via the Cosmographic Approach
• Dark Energy and Fate of the Universe
• Scaling solutions in scalar-tensor cosmologies
• Approaching Lambda without fine-tuning
• Palatini formulation of the conformally invariant $f\left(R,L_m\right)$ gravity theory
• Non-minimal geometry-matter couplings in Weyl-Cartan space-times: $f(R,T,Q,T_m)$ gravity
• Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies
• Perceiving the equation of state of Dark Energy while living in a Cold Spot
• Coupling matter and curvature in Weyl geometry: conformally invariant $f\left(R,L_m\right)$ gravity
• $H_0$ Tension in Torsion-based Modified Gravity
• Uncertainty on w from large-scale structure
• Induced Gravity and the Attractor Dynamics of Dark Energy/Dark Matter
• Dissipative quintessence, and its cosmological implications
• Reply to "Comment on `Energy Conditions in $f(Q)$ gravity'"

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• Observational test for $f(Q)$ gravity with weak gravitational lensing
• Cosmological constraints on dynamical dark energy model in $F(Q)$ gravity
• Constraints on Power Law and Exponential models in $f(Q)$ Gravity
• A Comprehensive Study of Massive Compact Star Admitting Conformal Motion Under Bardeen Geometry
• Exploring cosmological evolution and constraints in $f(T)$ teleparallel gravity
• Cosmological implications of the Weyl geometric gravity theory
• Schrödinger Connections: From Mathematical Foundations Towards Yano-Schrödinger Cosmology
• Maxwell-$f(Q)$ theory
• Cosmological constraints on $f(Q)$ gravity models in the non-coincident formalism
• Analysis of the cosmological evolution parameters, energy conditions, and linear matter perturbations of an exponential-type model in $f(Q)$ gravity
• Exploring parametrized dark energy models in interacting scenario
• Comparing measures of the Hubble and BAO tensions in $\Lambda$CDM and possible solutions in $f(Q)$ gravity
• Barrow holographic dark energy interacting model in the presence of radiation and matter
• Polytropic Stars in $f(Q)=Q+\xi Q^2$ covariant formulation
• Phase space analysis of an exponential model in $f(Q)$ gravity including linear dark-sector interactions
• Relativistic stars in $f(Q)$-gravity: Exact analytic solution for the power-law case $f(Q)=Q+b{Q}^{\nu }$
• A Unified Dynamical Systems Framework for Cosmology in $f(Q)$ Gravity: Generic Features Beyond the Coincident Gauge
• Observational Constraints on Chaplygin Gas Models in Non-Minimally Coupled Power Law $f(Q)$ Gravity with Quasars
• Constraining nonminimal f(T) gravity from Primordial Nucleosynthesis to Late-Universe observations
• Observational constraints on a modified-gravity model with an exponential function of the curvature using the expansion history, the RSD, and the Pantheon+SH0ES data