Reconstructing teleparallel gravity with cosmic structure growth and expansion rate data

Understand

In this work, we use a combined approach of Hubble parameter data together with redshift-space-distortion $(f\sigma_8)$ data, which together are used to reconstruct the teleparallel gravity (TG) Lagrangian via Gaussian processes (GP).

• The adopted Hubble data mainly comes from cosmic chronometers, while for the Type Ia supernovae data we use the latest jointly calibrated Pantheon compilation.
• Moreover, we consider two main GP covariance functions, namely the squared-exponential and Cauchy kernels in order to show consistency (to within 1$\sigma$ uncertainties).
• The core results of this work are the numerical reconstructions of the TG Lagrangian from GP reconstructed Hubble and growth data.