The $f(Q)$ gravity and affine EoS: Compatibility and observational constraints

Abstract

We study the cosmological implications of barotropic fluid satisfying affine equation of state (EoS) in the General relativity and $f(Q)$ gravity framework. We describe the impact of affine EoS on the cosmic evolution in the model and derive the observational constraints on the model parameters. The models of General relativity and $f(Q)$ gravity may unify the scenario in which the universe transits from the decelerated expansion into the accelerated expansion. The model parameters are constrained by the Bayesian analysis based on ${\chi }^2$ minimization technique with the observational data of the Cosmic chronometer and Supernovae type Ia. The affine EoS model in the General Relativity possess quintessence kind of dark energy while it possess phantom kind of dark energy in the $f(Q)$ gravity. The present day values of the cosmological parameters along with the current age of the universe are compatible with the observations. We also probe the possibility of setting up the solution of General relativity model into the $f(Q)$ gravity.

Accepted Manuscript, 16 pages, 8 figures

References in corpus (59)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• emcee: The MCMC Hammer
• The Cosmological Constant and Dark Energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Cosmological Imprint of an Energy Component with General Equation of State
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• Cosmological Constant - the Weight of the Vacuum
• f(R,T) gravity
• The Case for a Positive Cosmological Lambda-term
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• The Cosmological Constant
• In the Realm of the Hubble tension $-$ a Review of Solutions
• Cosmological Results from High-z Supernovae
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Constraining Cosmological Parameters Based on Relative Galaxy Ages
• Coincident General Relativity
• Quintom Cosmology: Theoretical implications and observations
• f(R,L_m) gravity
• Cosmology in $f(Q)$ geometry
• Black hole mass decreasing due to phantom energy accretion
• Finite-time future singularities in modified Gauss-Bonnet and $\mathcal{F}(R,G)$ gravity and singularity avoidance
• $f(Q,T)$ gravity
• Observational constraints of $f(Q)$ gravity
• Extended Gravity Cosmography
• Coupling matter in modified $Q$-gravity
• Cosmological solutions and growth index of matter perturbations in $f(Q)$ gravity
• LambdaCDM epoch reconstruction from F(R,G) and modified Gauss-Bonnet gravities
• Cosmology with x-matter
• Eppur è piatto? The cosmic chronometer take on spatial curvature and cosmic concordance
• Dark energy cosmology with generalized linear equation of state
• Comparing Equivalent Gravities: common features and differences
• Cosmo-dynamics and dark energy with non-linear equation of state: a quadratic model
• Causality and the speed of sound
• The role of the boundary term in $f(Q,B)$ symmetric teleparallel gravity
• 2021-$H_0$ Odyssey: Closed, Phantom and Interacting Dark Energy Cosmologies
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Probing the cosmographic parameters to distinguish between dark energy and modified gravity models
• $\Lambda \alpha$DM: Observational constraints on unified dark matter with constant speed of sound
• Observational constraints on the deceleration parameter in a tilted universe
• Reconstructing isotropic and anisotropic $f(\mathcal{Q})$ cosmologies
• A parametric reconstruction of the cosmological jerk from diverse observational data sets
• Relic Gravitational Waves with A Running Spectral Index and Its Constraints at High Frequencies
• Cosmic dynamics and qualitative study of Rastall model with spatial curvature
• Quintessence Behaviour of an Anisotropic Bulk Viscous Cosmological Model in Modified $f(Q)$-Gravity
• Transit String Dark Energy Models in $f(Q)$ Gravity
• Dynamical systems of modified Gauss-Bonnet gravity: cosmological implications
• Structure growth in $f(Q)$ cosmology
• Cosmological model with linear equation of state parameter in f(R, Lm) gravity
• Can nonlocal gravity really explain dark energy?
• Preserving quantum information in $f(Q)$ cosmology
• Dynamical system analysis of LRS-BI Universe with f(Q) gravity theory
• A generalized $\Lambda$CDM model with parameterized Hubble parameter in particle creation, viscous and $f(R)$ model framework
• Square-Root parametrization of dark energy in $f(Q)$ cosmology
• Stable $f(Q)$ gravity model through non-trivial connection
• Constraining viscous fluid models in $f(Q)$ gravity with data
• Brane Kantowski-Sachs Universe with Linear Equation of State and Future Singularity
• Late-time dynamics of dark energy EoS in symmetric teleparallel gravity