Scalar perturbation and density contrast evolution in $f(Q,C)$ gravity

Abstract

The symmetric teleparallel theory offers an alternative gravitational formulation which can elucidate events in the early and late universe without requiring the physical existence of dark matter or dark energy. In this formalism, $f(Q,C)$ gravity has been recently introduced by incorporating the boundary term $C$ with the non-metricity scalar $Q$. In this paper, we develop the theory of cosmological scalar perturbation for $f(Q,C)$ gravity, and retrieve that of $f(\mathring{R})$ and $f(Q)$ gravity from our result. The analysis assumes a model-independent approach within these theories that adheres to the conventional continuity equation at the background level. We derive the density contrast equation by employing some standard cosmological approximations, where the $f(Q,C)$ theory is encoded in the effective Newtonian constant $G_{eff}$. Finally, we derive the evolution equation of density growth $f_g$.

Accepted for publication in JCAP

References in corpus (64)

• Dynamics of dark energy
• f(R) Theories Of Gravity
• f(R) theories
• f(R,T) gravity
• f(T) teleparallel gravity and cosmology
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Challenges for $\Lambda$CDM: An update
• Reconstruction of a scalar-tensor theory of gravity in an accelerating universe
• Cosmological perturbations
• f(R,L_m) gravity
• Cosmology in $f(Q)$ geometry
• Teleparallel Gravity: From Theory to Cosmology
• Maximal freedom at minimum cost: linear large-scale structure in general modifications of gravity
• Cosmological perturbations in f(T) gravity
• Accelerating universe from F(T) 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
• Dynamics of Linear Perturbations in f(R) Gravity
• How to determine an effective potential for a variable cosmological term
• Aspects of the cosmological "coincidence problem"
• Matter density perturbations and effective gravitational constant in modified gravity models of dark energy
• Growth factor in f(T) gravity
• Signatures of $f(Q)$-gravity in cosmology
• Effective Field Theory of Cosmic Acceleration: constraining dark energy with CMB data
• The Mass Power Spectrum in Quintessence Cosmological Models
• Structure formation in $f(T)$ gravity and a solution for $H_0$ tension
• An analysis of systematic effects in finite size scaling studies using the gradient flow
• On the evolution of density perturbations in f(R) theories of gravity
• Can $f(Q)$ gravity challenge $\Lambda$CDM?
• Cosmic acceleration with bulk viscosity in modified $f(Q)$ gravity
• Density perturbations in f(R) gravity theories in metric and Palatini formalisms
• The role of the boundary term in $f(Q,B)$ symmetric teleparallel gravity
• Cosmic acceleration and energy conditions in $\Lambda$CDM symmetric teleparallel $f(Q)$ gravity
• Evidence for suppression of structure growth in the concordance cosmological model
• A designer approach to $f(Q)$ gravity and cosmological implications
• Phantom boundary crossing and anomalous growth index of fluctuations in viable f(R) models of cosmic acceleration
• Non-metricity with bounday terms: $f(Q,C)$ gravity and cosmology
• How clustering dark energy affects matter perturbations
• On the viability of $f(Q)$ gravity models
• Inferring $S_8(z)$ and $\gamma (z)$ with cosmic growth rate measurements using machine learning
• ADM formulation and Hamiltonian analysis of $f(Q)$ gravity
• Accelerating cosmological models in $f(Q)$ gravity and the phase space analysis
• f(R) Gravity and its Cosmological Implications
• Testing Einstein's gravity and dark energy with growth of matter perturbations: Indications for new Physics?
• The impact of dark energy perturbations on the growth index
• Dirac-Bergmann analysis and Degrees of Freedom of Coincident $f(Q)$-gravity
• Dynamical system analysis in teleparallel gravity with boundary term
• Cosmological data analysis of f(R) gravity models
• Energy condition bounds on $f(Q)$ model parameters in a curved FLRW universe
• A short review on clustering dark energy
• How different connections in flat FLRW geometry impact energy conditions in $f(Q)$ theory?
• $f(R)$ gravity: scalar perturbations in the late Universe
• Cosmological reconstruction and $\Lambda$CDM universe in $f(Q,C)$ gravity
• A class of ghost-free theories in symmetric teleparallel geometry
• Growth index of matter perturbations in the light of Dark Energy Survey
• The End of Cosmic Growth
• Reconstruction of the null-test for the matter density perturbations
• An analytic calculation of the growth index for $f(R)$ dark energy model
• Reconstructing the growth index $\gamma$ with Gaussian Processes
• Cosmological Perturbations and Quasi-Static Assumption in $f(R)$ Theories
• Simultaneous effect of Modified Gravity and Primordial Non-Gaussianity in Large Scale Structure Observations
• Tracking the validity of the quasi-static and sub-horizon approximations in modified gravity
• Parameterized Deceleration in $f(Q,C)$ Gravity: A Logarithmic Approach
• Phase space structure of symmetric teleparallel theory of gravity