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 ME-GADGET code to probe the structure formation with box sizes L_Box = 10/100 Mpc h^-1 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 data sets 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_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 CAMB output.