On the impact of $f(Q)$ gravity on the Large Scale Structure

Abstract

We investigate the exponential $f(Q)$ symmetric teleparallel gravitation, namely $f(Q)=Q+\alpha Q_0(1-e^{-\beta \sqrt{Q/Q_0}})$ using \texttt{ME-GADGET} code to probe the structure formation with box sizes $L_{\mathrm{box}}=10/100$ Mpc$/h$ and middle resolution $N_p^{1/3}=512$. To reproduce viable cosmology within the aforementioned modified gravity theory, we first perform Markov Chain Monte Carlo (MCMC) sampling on OHD/BAO/Pantheon datasets and constrain a parameter space. Furthermore, we also derive theoretical values for deceleration parameter $q(z)$, statefinder pair $\{r,s\}$ and effective gravitational constant $G_{\mathrm{eff}}$, perform $Om(z)$ diagnostics. While carrying out N-body+SPH simulations, we derive CDM+baryons over density/temperature/mean molecular weight fields, matter power spectrum (both 2/3D, with/without redshift space distortions), bispectrum, two-point correlation function and halo mass function. Results for small and big simulation box sizes are therefore properly compared, halo mass function is related to the Seth-Tormen theoretical prediction and matter power spectrum to the standard \texttt{CAMB} output.

MNRAS accepted version

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Cited by in corpus (26)

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• $H_0$ Tension in Torsion-based Modified Gravity
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• Gaussian Process Approach for Model-Independent Reconstruction of $f(Q)$ Gravity with Direct Hubble Measurements
• Neutron Star in Covariant $f(Q)$ gravity
• Investigating early and late-time epochs in $f(Q)$ gravity
• Equivalence of $f(Q)$ cosmology with quintom-like scenario: the phantom field as effective realization of the non-trivial connection
• Cosmological reconstruction and $\Lambda$CDM universe in $f(Q,C)$ gravity
• Dynamical system analysis of scalar field cosmology in coincident $f(Q)$ gravity
• Modified $f(Q)$ gravity models and their cosmological consequences
• $f(Q,L_m)$ gravity, and its cosmological implications
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• Analysis of the cosmological evolution parameters, energy conditions, and linear matter perturbations of an exponential-type model in $f(Q)$ gravity
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• Phase space structure of symmetric teleparallel theory of gravity
• Vulnerability of f(Q) gravity theory and a possible resolution
• Testing Gauss-Bonnet Gravity with DESI BAO Data
• The gravitational energy-momentum pseudo-tensor in $f(Q)$ non-metric gravity
• Signatures of Extended Dark Energy Parametrisations in Structure Formation under Background Constraints
• Beyond the Cosmological Constant: Breaking the Geometric Degeneracy of $f(Q)$ cosmology via Redshift-Space Distortions
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• Bayesian and Machine-Learning Analyses of Nonminimal $f(Q)$ Gravity and $H_0$ Tension