Reconstructing teleparallel gravity with cosmic structure growth and expansion rate data

Abstract In this work, we use a combined approach of Hubble parameter data together with redshift-space-distortion ( f σ 8 ) data, which are used to reconstruct the teleparallel gravity (TG) Lagrangian via Gaussian processes (GP). The adopted mainly comes from cosmic chronometers, while for Type Ia supernovae latest jointly calibrated Pantheon compilation. Moreover, consider two main GP covariance functions, namely squared-exponential and Cauchy kernels in order show consistency (to within 1σ uncertainties). core results work numerical reconstructions TG reconstructed growth data. We take different possible combinations datasets illustrate any potential differences regard. that nontrivial cosmology beyond ΛCDM falls uncertainties therefore indicates no significant departure concordance cosmological model.