Growth of structures using redshift space distortion in f(T) Cosmology

Cosmology faces a pressing challenge with the Hubble constant (H0) tension, where the locally measured rate of the Universe’s expansion does not align with predictions from the cosmic microwave background (CMB) calibrated with ΛCDM model. Simultaneously, there is a growing tension involving the weighted amplitude of matter fluctuations, known as S8, 0 tension. Resolving both tensions within one framework would boost confidence in any one particular model. In this work, we analyse constraints in f(T) gravity, a framework that shows promise in shedding light on cosmic evolution. We thoroughly examine prominent f(T) gravity models using a combination of data sources, including Pantheon+ (SN), cosmic chronometers (CC), baryonic acoustic oscillations (BAO) and redshift space distortion (RSD) data. We use these models to derive a spectrum of H0 and S8, 0 values, aiming to gauge their ability to provide insights into, and potentially address, the challenges posed by the H0 and S8, 0 tensions.