A designer approach to $f(Q)$ gravity and cosmological implications

Abstract

We investigate the evolution of linear perturbations in the Symmetric Teleparallel Gravity, namely $f(Q)$ gravity, for which we design the $f(Q)$ function to match specific expansion histories. We consider different evolutions of the effective dark energy equation of state, $w_Q(a)$, which includes $w_Q=-1$, a constant $w_Q\ne -1$ and a fast varying equation of state. We identify clear patterns in the effective gravitational coupling, which accordingly modifies the linear growth of large scale structures. We provide theoretical predictions for the product of the growth rate $\tilde{f}$ and the root mean square of matter fluctuations ${\sigma }_8$, namely $\tilde{f}{\sigma }_8$ and for the sign of the cross-correlation power spectrum of the galaxy fluctuations and the cosmic microwave background radiation anisotropies. These properties can be used to distinguish the $f(Q)$ gravity from the standard cosmological model using accurate cosmological observations.

14 pages, 12 figures, Accepted for publication in Physics of the Dark Universe

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• On the impact of $f(Q)$ gravity on the Large Scale Structure
• Late-time cosmology with phantom dark-energy in $f(Q)$ gravity
• Anisotropic Strange Star Model Beyond Standard Maximum Mass Limit by Gravitational Decoupling in $f(Q)$ Gravity
• Forecasting constraints on deviations from general relativity in $f(Q)$ gravity with standard sirens
• Phantom cosmological model with observational constraints in $f(Q)$ gravity
• ADM formulation and Hamiltonian analysis of $f(Q)$ gravity
• Data reconstruction of the dynamical connection function in $f(Q)$ cosmology
• Crossing phantom divide in $f(Q)$ gravity
• Forecasting F(Q) cosmology with $\Lambda$CDM background using standard sirens
• Quintessence Universe and cosmic acceleration in $f(Q,T)$ gravity
• Correction to Lagrangian for Bouncing Cosmologies in $f(Q)$ Gravity
• $f(Q)$-gravity and neutrino physics
• Modelling the Accelerating Universe with $f(Q)$ Gravity: Observational Consistency
• Testing $\Lambda$-Free f(Q) Cosmology
• New cosmological constraints on $f(T)$ gravity in light of full Planck-CMB and type Ia supernovae data
• Observational test for $f(Q)$ gravity with weak gravitational lensing
• Constraints on $f(Q)$ logarithmic model using gravitational wave standard sirens
• Equivalence of $f(Q)$ cosmology with quintom-like scenario: the phantom field as effective realization of the non-trivial connection
• Structure growth in $f(Q)$ cosmology
• Geometrical Trinity of Unimodular Gravity
• Preserving quantum information in $f(Q)$ cosmology
• Polarized gravitational waves in the parity violating scalar-nonmetricity theory
• Cosmological study of a symmetric teleparallel gravity model
• Bianchi type-I cosmological dynamics in $f(\mathcal{Q})$ gravity: a covariant approach
• Spatially covariant gravity with nonmetricity
• Bulk viscous fluid in symmetric teleparallel cosmology: theory versus experiment
• Inflationary Cosmology in a non-minimal $f(R,T)$ gravity theory using a $RT$ mixing term
• A generic dynamical system formulation for Bianchi-I cosmology with isotropic fluid in $f(Q)$ gravity
• Modified Gravity Model $f(Q,T)$ and Wormhole Solution
• Cosmological implications of non-minimally coupled f(Q) gravity
• Observational constraints using Bayesian statistics and Deep Learning in $f(Q)$ gravity
• Mimetic-$f(Q)$ gravity: cosmic reconstruction and energy conditions
• Vulnerability of f(Q) gravity theory and a possible resolution
• Scalar perturbation and density contrast evolution in $f(Q,C)$ gravity
• Degrees of freedom of a quadratic scalar-nonmetricity theory