Modified observational signatures of gravitational waves in exponential f(T) theory

Abstract In this draft, we investigate the propagation and observational imprints of gravitational waves (GWs) from compact binary inspirals in f ( T ) theory, a torsion based extension of general relativity (GR). In this theory, modifications to the underlying dynamics alter the effective luminosity distance of GWs relative to the standard electromagnetic counterpart, introducing a redshift dependent damping effect. We consider exponential corrections of f ( T ) theory to analyze the impact on the propagation of tensor modes and the corresponding GW signals, by using post-Newtonian waveform templates and Fisher matrix forecasts. We assess the ability of current and future ground based interferometers, such as Advanced LIGO (aLIGO) and the Einstein Telescope (ET), to constrain the additional parameters introduced by these models. Current detectors already constrain deviations from GR, while next-generation observatories will improve these bounds by up to two orders of magnitude, underscoring the power of GW observations to test torsion based gravity models.